Pub Date : 2026-02-25DOI: 10.1140/epjc/s10052-026-15387-8
Kevin Reddy, Megan Govender
In this work we highlight the impact of shear on Weyl stresses and complexity within a collapsing stellar core which dissipates heat to the exterior spacetime. We adopt a radiating stellar model first presented by Thirukkanesh et al. (J Math Phys. 53:032506, 2012) which has many salient features including a means of switching off the shear. We demonstrate for the first time the impact of shear on the complexity and its components in a radiating star. We find that for early times, as the fluid loses hydrostatic equilibrium, the evolution of the complexity factor, both at the stellar center and boundary are indistinguishable in the shear-free and shearing cases. For late times, the complexity in the shear-free and shearing regimes differ significantly with shear-free collapse dominating its shearing counterpart. Our investigation into the evolution of the Weyl stresses highlight the connection between the Weyl tensor components and the contributions to the overall complexity arising from pressure anisotropy, density inhomogeneities and heat dissipation. We believe that this is the first exposition which highlights the influence of shear on stellar complexity during dissipative gravitational collapse.
在这项工作中,我们强调了剪切对Weyl应力的影响和坍缩恒星核心内的复杂性,该核心将热量散发到外部时空。我们采用了Thirukkanesh等人首先提出的辐射恒星模型(J Math Phys. 53:032506, 2012),该模型具有许多显著特征,包括关闭剪切的手段。我们首次证明了剪切对辐射恒星的复杂性及其组成的影响。我们发现,在早期,当流体失去流体静力平衡时,在无剪切和剪切情况下,恒星中心和边界的复杂性因子的演化是难以区分的。在后期,无剪切崩塌和剪切崩塌的复杂性存在显著差异,无剪切崩塌占主导地位。我们对Weyl应力演化的研究强调了Weyl张量分量与压力各向异性、密度不均匀性和散热对整体复杂性的贡献之间的联系。我们认为这是第一次阐明在耗散引力坍缩过程中切变对恒星复杂性的影响。
{"title":"The impact of shear on complexity and Weyl stresses during dissipative collapse","authors":"Kevin Reddy, Megan Govender","doi":"10.1140/epjc/s10052-026-15387-8","DOIUrl":"10.1140/epjc/s10052-026-15387-8","url":null,"abstract":"<div><p>In this work we highlight the impact of shear on Weyl stresses and complexity within a collapsing stellar core which dissipates heat to the exterior spacetime. We adopt a radiating stellar model first presented by Thirukkanesh et al. (J Math Phys. 53:032506, 2012) which has many salient features including a means of switching off the shear. We demonstrate for the first time the impact of shear on the complexity and its components in a radiating star. We find that for early times, as the fluid loses hydrostatic equilibrium, the evolution of the complexity factor, both at the stellar center and boundary are indistinguishable in the shear-free and shearing cases. For late times, the complexity in the shear-free and shearing regimes differ significantly with shear-free collapse dominating its shearing counterpart. Our investigation into the evolution of the Weyl stresses highlight the connection between the Weyl tensor components and the contributions to the overall complexity arising from pressure anisotropy, density inhomogeneities and heat dissipation. We believe that this is the first exposition which highlights the influence of shear on stellar complexity during dissipative gravitational collapse.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 2","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-15387-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342072","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-25DOI: 10.1140/epjc/s10052-026-15380-1
Nikola Herceg, Nikola Konjik, A. Naveena Kumara, Andjelo Samsarov
Noncommutative (NC) geometry may open an alternative route to quantum gravity. We study the signatures that quantum structure of spacetime may leave on Dirac quasinormal mode spectrum in the setting defined by a common astrophysical background. For that purpose we examine the influence of spacetime noncommutativity on the Dirac quasinormal modes in modified Reissner–Nordström black hole spacetime. The framework for the latter study is provided by the effective model of NC gravity coupled to fermions introduced in Dimitrijević Ćirić et al. (Eur Phys J C 83:387, 2023). This model describes a classical Dirac field coupled to a modified Reissner–Nordström geometry where the corresponding metric acquires an additional nonvanishing (r-varphi ) component. As the earlier study shows, this model appears to be equivalent to a model of semiclassical NC gauge theory in which a NC gauge field is coupled to a NC fermion field on the one side and the classical Reissner–Nordström background on the other. We compute the resulting Dirac quasinormal modes and compare them with those of the undeformed Reissner–Nordström spacetime. The results show that spacetime noncommutativity modifies both the oscillation frequencies and damping rates, and induces features in the effective potential and quasinormal mode spectrum reminiscent of a Zeeman-like splitting. Since such geometric modifications are expected to become relevant only near the Planck scale, these effects are more naturally associated with microscopic rather than astrophysical black holes.
非对易几何(NC)可能为量子引力开辟一条替代路线。我们研究了在共同天体物理背景下,时空量子结构可能在狄拉克准正态模谱上留下的特征。为此,我们研究了时空非交换性对修正Reissner-Nordström黑洞时空中狄拉克准正态模的影响。后一项研究的框架由dimitrijeviki Ćirić et al. (Eur Phys J C 83:387, 2023)中引入的NC重力耦合费米子的有效模型提供。该模型描述了一个经典的狄拉克场耦合到一个修改的Reissner-Nordström几何,其中相应的度量获得了一个额外的不消失的(r-varphi )分量。正如先前的研究表明的那样,该模型似乎相当于半经典NC规范理论的模型,其中NC规范场在一侧耦合到NC费米子场,另一侧耦合到经典Reissner-Nordström背景。我们计算了得到的狄拉克准正态模态,并将它们与未变形Reissner-Nordström时空的模态进行了比较。结果表明,时空非交换性改变了振荡频率和阻尼率,并在有效电位和准正态模谱中引起了类似于泽曼分裂的特征。由于这种几何变化预计只在普朗克尺度附近相关,因此这些效应更自然地与微观黑洞而不是天体物理学黑洞联系在一起。
{"title":"Probing quantum spacetime with Dirac quasinormal modes","authors":"Nikola Herceg, Nikola Konjik, A. Naveena Kumara, Andjelo Samsarov","doi":"10.1140/epjc/s10052-026-15380-1","DOIUrl":"10.1140/epjc/s10052-026-15380-1","url":null,"abstract":"<div><p>Noncommutative (NC) geometry may open an alternative route to quantum gravity. We study the signatures that quantum structure of spacetime may leave on Dirac quasinormal mode spectrum in the setting defined by a common astrophysical background. For that purpose we examine the influence of spacetime noncommutativity on the Dirac quasinormal modes in modified Reissner–Nordström black hole spacetime. The framework for the latter study is provided by the effective model of NC gravity coupled to fermions introduced in Dimitrijević Ćirić et al. (Eur Phys J C 83:387, 2023). This model describes a classical Dirac field coupled to a modified Reissner–Nordström geometry where the corresponding metric acquires an additional nonvanishing <span>(r-varphi )</span> component. As the earlier study shows, this model appears to be equivalent to a model of semiclassical NC gauge theory in which a NC gauge field is coupled to a NC fermion field on the one side and the classical Reissner–Nordström background on the other. We compute the resulting Dirac quasinormal modes and compare them with those of the undeformed Reissner–Nordström spacetime. The results show that spacetime noncommutativity modifies both the oscillation frequencies and damping rates, and induces features in the effective potential and quasinormal mode spectrum reminiscent of a Zeeman-like splitting. Since such geometric modifications are expected to become relevant only near the Planck scale, these effects are more naturally associated with microscopic rather than astrophysical black holes.\u0000\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 2","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-15380-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We investigate cosmology-driven modifications to Schwarzschild-like black hole spacetimes and analyze their impact on photon propagation, gravitational lensing, and shadow observation. The gravitational deflection angle is computed using the Rindler–Is-hak method, which incorporates finite-distance corrections and provides a consistent framework for non-asym-ptotically flat spacetimes. The effective potential for null geodesics exhibits a single unstable maximum corresponding to the photon sphere, and we study photon orbits classified according to the critical impact parameter into capture, escape, and unstable circular trajectories. Our analysis shows that the deflection angle decreases with increasing model parameter ((alpha )), resulting in weaker light bending compared to the Schwarzschild case. In addition, we examine the angular diameter of the black hole shadow as measured by a static observer, highlighting its dependence on the cosmological modification parameters. These results suggest that high-precision astrometric and lensing observations can place meaningful constraints on cosmology-inspired modifications to gravity, thereby linking astrophysical black holes with cosmic expansion and offering a novel probe of gravitational physics in strong-field regimes.
{"title":"Geodesics and light deflection in Schwarzschild-like spacetime from cosmology-inspired modified gravity","authors":"Ritesh Pandey, Shubham Kala, Amare Abebe, Hemwati Nandan, G.G.L. Nashed","doi":"10.1140/epjc/s10052-026-15419-3","DOIUrl":"10.1140/epjc/s10052-026-15419-3","url":null,"abstract":"<div><p>We investigate cosmology-driven modifications to Schwarzschild-like black hole spacetimes and analyze their impact on photon propagation, gravitational lensing, and shadow observation. The gravitational deflection angle is computed using the Rindler–Is-hak method, which incorporates finite-distance corrections and provides a consistent framework for non-asym-ptotically flat spacetimes. The effective potential for null geodesics exhibits a single unstable maximum corresponding to the photon sphere, and we study photon orbits classified according to the critical impact parameter into capture, escape, and unstable circular trajectories. Our analysis shows that the deflection angle decreases with increasing model parameter <span>((alpha ))</span>, resulting in weaker light bending compared to the Schwarzschild case. In addition, we examine the angular diameter of the black hole shadow as measured by a static observer, highlighting its dependence on the cosmological modification parameters. These results suggest that high-precision astrometric and lensing observations can place meaningful constraints on cosmology-inspired modifications to gravity, thereby linking astrophysical black holes with cosmic expansion and offering a novel probe of gravitational physics in strong-field regimes.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 2","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-15419-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-25DOI: 10.1140/epjc/s10052-026-15425-5
Ying-Zhao Jiang, Zhan Sun
We systematically investigate the production of (J/psi + gamma ) in (gamma gamma ) collisions within nonrelativistic QCD (NRQCD) factorization, with the direct-photon channel calculated specifically up to the next-to-leading order in (alpha _s). Calculations for CEPC energy region show the resolved photon contribution is negligible, while the direct photon process dominates, yielding substantial annual (J/psi ) yields. Significant modifications to (J/psi ) polarization parameters emerge from color-octet mechanisms, and different NRQCD long distance matrix elements (LDMEs) further yield distinct polarization patterns. Furthermore, the polarization predictions are highly sensitive to the 3(P_J^{[8]}) LDME, while being insensitive to the 1(S_0^{[8]}) and 3(S_1^{[8]}) LDMEs. Leveraging the cleaner environment of (e^+e^-) collisions versus hadronic processes, the production of (J/psi ) associated with a photon in (gamma gamma ) collisions provides a high-precision platform to test LDMEs universality and resolve longstanding (J/psi ) polarization puzzles.
{"title":"Next-to-leading order analysis of (J/psi + gamma ) production in photon–photon collisions at CEPC","authors":"Ying-Zhao Jiang, Zhan Sun","doi":"10.1140/epjc/s10052-026-15425-5","DOIUrl":"10.1140/epjc/s10052-026-15425-5","url":null,"abstract":"<div><p>We systematically investigate the production of <span>(J/psi + gamma )</span> in <span>(gamma gamma )</span> collisions within nonrelativistic QCD (NRQCD) factorization, with the direct-photon channel calculated specifically up to the next-to-leading order in <span>(alpha _s)</span>. Calculations for CEPC energy region show the resolved photon contribution is negligible, while the direct photon process dominates, yielding substantial annual <span>(J/psi )</span> yields. Significant modifications to <span>(J/psi )</span> polarization parameters emerge from color-octet mechanisms, and different NRQCD long distance matrix elements (LDMEs) further yield distinct polarization patterns. Furthermore, the polarization predictions are highly sensitive to the <sup>3</sup><span>(P_J^{[8]})</span> LDME, while being insensitive to the <sup>1</sup><span>(S_0^{[8]})</span> and <sup>3</sup><span>(S_1^{[8]})</span> LDMEs. Leveraging the cleaner environment of <span>(e^+e^-)</span> collisions versus hadronic processes, the production of <span>(J/psi )</span> associated with a photon in <span>(gamma gamma )</span> collisions provides a high-precision platform to test LDMEs universality and resolve longstanding <span>(J/psi )</span> polarization puzzles.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 2","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-15425-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-25DOI: 10.1140/epjc/s10052-026-15354-3
Davide Batic, Denys Dutykh, Mark Essa Sukaiti
We construct an exact spinning generalisation of the Morris–Thorne traversable wormhole supported by an anisotropic fluid. Within the Teo wormhole ansatz with unit lapse and Morris–Thorne shape function, we solve analytically for the frame-dragging function and obtain a two-parameter family of asymptotically flat solutions labelled by the throat radius (r_0) and total angular momentum J. Curvature scalars and stress–energy components are given in closed form, showing a regular throat, equatorial reflection symmetry, and violations of all standard energy conditions, as required for traversable wormholes. We analyse the causal structure and show that, despite the presence of an ergoregion for sufficiently large |J|, the coordinate time defines a global temporal function, so the spacetime is stably causal and free of closed timelike curves. The optical appearance is studied via photon trajectories. The resulting shadows are smaller than Kerr’s and depend on the wormhole shape. Finally, we compute the Geroch–Hansen multipole moments and find a massless but spinning configuration with distinctive higher multipoles that encode the throat scale.
{"title":"Exact spinning Morris–Thorne wormhole: causal structure, shadows, and multipole moments","authors":"Davide Batic, Denys Dutykh, Mark Essa Sukaiti","doi":"10.1140/epjc/s10052-026-15354-3","DOIUrl":"10.1140/epjc/s10052-026-15354-3","url":null,"abstract":"<div><p>We construct an exact spinning generalisation of the Morris–Thorne traversable wormhole supported by an anisotropic fluid. Within the Teo wormhole ansatz with unit lapse and Morris–Thorne shape function, we solve analytically for the frame-dragging function and obtain a two-parameter family of asymptotically flat solutions labelled by the throat radius <span>(r_0)</span> and total angular momentum <i>J</i>. Curvature scalars and stress–energy components are given in closed form, showing a regular throat, equatorial reflection symmetry, and violations of all standard energy conditions, as required for traversable wormholes. We analyse the causal structure and show that, despite the presence of an ergoregion for sufficiently large |<i>J</i>|, the coordinate time defines a global temporal function, so the spacetime is stably causal and free of closed timelike curves. The optical appearance is studied via photon trajectories. The resulting shadows are smaller than Kerr’s and depend on the wormhole shape. Finally, we compute the Geroch–Hansen multipole moments and find a massless but spinning configuration with distinctive higher multipoles that encode the throat scale.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 2","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-15354-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-25DOI: 10.1140/epjc/s10052-026-15439-z
Arpita Jana, Soham Sen, Sunandan Gangopadhyay
In a recent analysis (Misra et al. in npj Quantum Inf 10:34, 2024. 10.1038/s41534-024-00817-w), it has been shown that Hawking radiation is the main source of energy to empower a coherent signal pulse. In this work, we have explored the same effect for a case where the time derivative of the scalar field mode of the redirected Hawking radiation appears explicitly in the interaction Hamiltonian. We have considered a stream of two-level atoms falling freely towards the event horizon of a black hole. The Hawking radiation redirected from an orbiting mirror interacts with the atoms which make a transition between the ground state and the excited state through the emission of a signal photon. The signal pulse is amplified by the mechanical work done by the redirected Hawking mode. The whole set up works as a black hole powered quantum heat engine. We have shown that this amplification depends on the frequency of both the signal mode and the Hawking mode, the flux of the redirected Hawking mode and the lapse function of the black hole. In contrast to the result obtained in Misra et al. (npj Quantum Inf 10:34, 2024. 10.1038/s41534-024-00817-w), we observe in our analysis, that due to the coupling of the momentum degrees of freedom of the Hawking radiation modes with the freely falling detector, the power output depends inversely with the lapse function of the black hole and is proportional to the frequency of the emitted Hawking radiation. As a result the maximum output power enhances significantly if the atom is very close to the event horizon of the black hole. We have analyzed this effect for two types of detectors attached to the cavity. At first we considered a point-like detector and then we have done the analysis from the perspective of a detector with smearing.
在最近的一项分析中(Misra et al. In npj Quantum Inf 10:34, 2024。10.1038/s41534-024-00817-w),已经证明霍金辐射是相干信号脉冲的主要能量来源。在这项工作中,我们探索了重定向霍金辐射的标量场模的时间导数在相互作用哈密顿量中显式出现的情况下的相同效应。我们已经考虑了一束两能级原子向黑洞视界自由下落。从轨道反射镜重定向的霍金辐射与原子相互作用,原子通过发射信号光子在基态和激发态之间转换。信号脉冲被重定向霍金模式所做的机械功放大了。整个装置就像一个黑洞驱动的量子热机。我们已经证明,这种放大取决于信号模式和霍金模式的频率,重定向霍金模式的通量和黑洞的延时函数。与Misra et al. (npj Quantum Inf 10:34, 2024)获得的结果相反。10.1038/s41534-024-00817-w),我们在分析中观察到,由于霍金辐射模式的动量自由度与自由落体探测器的耦合,输出功率与黑洞的失效函数成反比,与发射霍金辐射的频率成正比。因此,如果原子非常接近黑洞的视界,则最大输出功率将显著提高。我们分析了两种附着在腔体上的探测器的这种效应。首先我们考虑了一个点状探测器,然后我们从带有涂抹的探测器的角度进行了分析。
{"title":"Black hole as coherent signal amplifier","authors":"Arpita Jana, Soham Sen, Sunandan Gangopadhyay","doi":"10.1140/epjc/s10052-026-15439-z","DOIUrl":"10.1140/epjc/s10052-026-15439-z","url":null,"abstract":"<div><p>In a recent analysis (Misra et al. in npj Quantum Inf 10:34, 2024. 10.1038/s41534-024-00817-w), it has been shown that Hawking radiation is the main source of energy to empower a coherent signal pulse. In this work, we have explored the same effect for a case where the time derivative of the scalar field mode of the redirected Hawking radiation appears explicitly in the interaction Hamiltonian. We have considered a stream of two-level atoms falling freely towards the event horizon of a black hole. The Hawking radiation redirected from an orbiting mirror interacts with the atoms which make a transition between the ground state and the excited state through the emission of a signal photon. The signal pulse is amplified by the mechanical work done by the redirected Hawking mode. The whole set up works as a black hole powered quantum heat engine. We have shown that this amplification depends on the frequency of both the signal mode and the Hawking mode, the flux of the redirected Hawking mode and the lapse function of the black hole. In contrast to the result obtained in Misra et al. (npj Quantum Inf 10:34, 2024. 10.1038/s41534-024-00817-w), we observe in our analysis, that due to the coupling of the momentum degrees of freedom of the Hawking radiation modes with the freely falling detector, the power output depends inversely with the lapse function of the black hole and is proportional to the frequency of the emitted Hawking radiation. As a result the maximum output power enhances significantly if the atom is very close to the event horizon of the black hole. We have analyzed this effect for two types of detectors attached to the cavity. At first we considered a point-like detector and then we have done the analysis from the perspective of a detector with smearing.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 2","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-15439-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-24DOI: 10.1140/epjc/s10052-026-15441-5
Xiang-Qian Li, Hao-Peng Yan, Xiao-Jun Yue
We investigate the orbital dynamics and gravitational wave signatures of neutral extreme mass ratio inspirals (EMRIs) in the spacetime of a Kerr black hole immersed in an asymptotically uniform magnetic field, described by the exact Kerr–Bertotti–Robinson (Kerr–BR) solution (Podolsky and Ovcharenko in Phys Rev Lett 135:181401, 2025). Unlike the widely used Kerr–Melvin metric, the Kerr–BR solution is of algebraic type D, allowing for a rigorous analysis of geodesics and possessing a clear asymptotic structure. By analyzing the Innermost Stable Circular Orbit (ISCO), we confirm that the external magnetic field consistently pushes the ISCO to larger radii. However, contrary to Newtonian intuition, this radial expansion is accompanied by a systematic magnetically induced hardening of the spectrum, where the ISCO frequency is blue-shifted relative to the vacuum case. Notably, in the strong-field regime, we identify a non-monotonic frequency evolution, where the orbital frequency initially decreases before rising rapidly near the horizon, fundamentally altering the chirp character. We further demonstrate that retrograde orbits are significantly more sensitive to magnetic fields than prograde orbits, leading to frequency crossover phenomena where magnetic effects can invert the usual spin-frequency hierarchy. Finally, employing a semi-analytic adiabatic evolution scheme, we quantify the dephasing accumulated during the final year of inspiral. Our results demonstrate that space-borne detectors like LISA can distinguish magnetic environments from vacuum spacetimes for field strengths as low as (B sim 10^{-4}), suggesting that environmental magnetic fields could introduce systematic biases in parameter estimation if not properly modeled.
我们研究了中性极端质量比吸进(EMRIs)的轨道动力学和引力波特征,这是由精确的Kerr - bertotti - robinson (Kerr - br)解(Podolsky and Ovcharenko in Phys Rev Lett 135:181401, 2025)描述的。与广泛使用的Kerr-Melvin度量不同,Kerr-BR解决方案是代数型D,允许对测地线进行严格分析,并具有清晰的渐近结构。通过对最内层稳定圆轨道(ISCO)的分析,我们证实了外磁场持续地将ISCO推向更大的半径。然而,与牛顿的直觉相反,这种径向膨胀伴随着光谱的系统磁致硬化,其中ISCO频率相对于真空情况发生蓝移。值得注意的是,在强场状态下,我们发现了一个非单调的频率演化,其中轨道频率最初降低,然后在视界附近迅速上升,从根本上改变了啁啾特性。我们进一步证明,逆行轨道比顺行轨道对磁场明显更敏感,导致频率交叉现象,其中磁效应可以反转通常的自旋频率层次。最后,采用半解析绝热演化格式,量化了吸气最后一年累积的减相。我们的研究结果表明,像LISA这样的星载探测器可以在磁场强度低至(B sim 10^{-4})的情况下区分磁场环境和真空时空,这表明如果没有正确建模,环境磁场可能会在参数估计中引入系统偏差。
{"title":"Gravitational-wave imprints of Kerr–Bertotti–Robinson black holes: frequency blue-shift and waveform dephasing","authors":"Xiang-Qian Li, Hao-Peng Yan, Xiao-Jun Yue","doi":"10.1140/epjc/s10052-026-15441-5","DOIUrl":"10.1140/epjc/s10052-026-15441-5","url":null,"abstract":"<div><p>We investigate the orbital dynamics and gravitational wave signatures of neutral extreme mass ratio inspirals (EMRIs) in the spacetime of a Kerr black hole immersed in an asymptotically uniform magnetic field, described by the exact Kerr–Bertotti–Robinson (Kerr–BR) solution (Podolsky and Ovcharenko in Phys Rev Lett 135:181401, 2025). Unlike the widely used Kerr–Melvin metric, the Kerr–BR solution is of algebraic type D, allowing for a rigorous analysis of geodesics and possessing a clear asymptotic structure. By analyzing the Innermost Stable Circular Orbit (ISCO), we confirm that the external magnetic field consistently pushes the ISCO to larger radii. However, contrary to Newtonian intuition, this radial expansion is accompanied by a systematic magnetically induced hardening of the spectrum, where the ISCO frequency is blue-shifted relative to the vacuum case. Notably, in the strong-field regime, we identify a non-monotonic frequency evolution, where the orbital frequency initially decreases before rising rapidly near the horizon, fundamentally altering the chirp character. We further demonstrate that retrograde orbits are significantly more sensitive to magnetic fields than prograde orbits, leading to frequency crossover phenomena where magnetic effects can invert the usual spin-frequency hierarchy. Finally, employing a semi-analytic adiabatic evolution scheme, we quantify the dephasing accumulated during the final year of inspiral. Our results demonstrate that space-borne detectors like LISA can distinguish magnetic environments from vacuum spacetimes for field strengths as low as <span>(B sim 10^{-4})</span>, suggesting that environmental magnetic fields could introduce systematic biases in parameter estimation if not properly modeled.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 2","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-15441-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147341286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-24DOI: 10.1140/epjc/s10052-026-15291-1
Reza Baghbani
We explore a supergravity model based on the modified Kähler potential (hat{K} = -3 ln left( Phi + Phi ^dagger - beta , mathcal {R} bar{mathcal {R}} -right. left. gamma , (mathcal {R}bar{mathcal {R}})^2 right) ),where (Phi ) is a chiral superfield containing the dilaton and (mathcal {R}) is the chiral curvature superfield. The quartic term (-gamma (mathcal {R}bar{mathcal {R}})^2) ensures stabilization of the curvature sector, in line with recent proposals in modified supergravity, while the linear term (-beta mathcal {R}bar{mathcal {R}}) yields a dilaton-modulated contribution to the effective (R^2) coefficient. As clarified via the superfield Legendre transform, the model is equivalent to Einstein supergravity coupled to three chiral superfields ((Phi ), S, T), yielding six physical scalars. Full stability requires both the curvature–sector stabilization (via (gamma )) and a non-vanishing dilaton VEV. When the extra scalars are stabilized and (langle phi rangle = mathcal {O}(M_P)), the kinetic mixing is exponentially suppressed during inflation ((Z propto e^{-sigma /sqrt{6}})), reducing the dynamics to an effectively single-field Starobinsky model. Thus, cosmological viability is inherited conditionally from the established success of Starobinsky inflation. To the best of our knowledge, this represents the first explicit realization of dilaton-coupled modified supergravity, where a physical scalar (the dilaton) directly influences the curvature sector through the Kähler geometry. While chiral matter couplings to modified supergravity have been studied in the literature, the explicit coupling of the dilaton remains unexplored. The framework is presented as a phenomenological ansatz for exploring scalar–curvature unification in supersymmetry, with the understanding that a UV completion remains an open challenge.
{"title":"Dilaton coupling to R2 gravity via a modified Kähler potential in supergravity","authors":"Reza Baghbani","doi":"10.1140/epjc/s10052-026-15291-1","DOIUrl":"10.1140/epjc/s10052-026-15291-1","url":null,"abstract":"<div><p>We explore a supergravity model based on the modified Kähler potential <span>(hat{K} = -3 ln left( Phi + Phi ^dagger - beta , mathcal {R} bar{mathcal {R}} -right. left. gamma , (mathcal {R}bar{mathcal {R}})^2 right) )</span>,where <span>(Phi )</span> is a chiral superfield containing the dilaton and <span>(mathcal {R})</span> is the chiral curvature superfield. The quartic term <span>(-gamma (mathcal {R}bar{mathcal {R}})^2)</span> ensures stabilization of the curvature sector, in line with recent proposals in modified supergravity, while the linear term <span>(-beta mathcal {R}bar{mathcal {R}})</span> yields a dilaton-modulated contribution to the effective <span>(R^2)</span> coefficient. As clarified via the superfield Legendre transform, the model is equivalent to Einstein supergravity coupled to three chiral superfields (<span>(Phi )</span>, <i>S</i>, <i>T</i>), yielding six physical scalars. Full stability requires both the curvature–sector stabilization (via <span>(gamma )</span>) and a non-vanishing dilaton VEV. When the extra scalars are stabilized and <span>(langle phi rangle = mathcal {O}(M_P))</span>, the kinetic mixing is exponentially suppressed during inflation (<span>(Z propto e^{-sigma /sqrt{6}})</span>), reducing the dynamics to an effectively single-field Starobinsky model. Thus, cosmological viability is inherited conditionally from the established success of Starobinsky inflation. To the best of our knowledge, this represents the first explicit realization of <i>dilaton-coupled modified supergravity</i>, where a physical scalar (the dilaton) directly influences the curvature sector through the Kähler geometry. While chiral matter couplings to modified supergravity have been studied in the literature, the explicit coupling of the dilaton remains unexplored. The framework is presented as a phenomenological ansatz for exploring scalar–curvature unification in supersymmetry, with the understanding that a UV completion remains an open challenge.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 2","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-15291-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147341927","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-24DOI: 10.1140/epjc/s10052-026-15426-4
Yun-Hua Chen
We perform a unified description of the experimental data of the (pi ^+pi ^-) invariant mass spectra of (B_s^0 rightarrow psi (2S) pi ^+pi ^-), the (pi ^+pi ^-) and (K^+ K^-) invariant mass spectra of (B_s^0 rightarrow X(3872) pi ^+pi ^- (K^+ K^-)), and the ratio of branch fractions (mathcal {B}[B_s^0 rightarrow X(3872)(K^+K^-)_{mathrm{non-}phi }]/ mathcal {B}[B_s^0 rightarrow X(3872)pi ^+ pi ^-]). The strong final state interactions between the two pseudoscalars are taken into account using a parametrization fulfilling unitarity and analyticity. We find that there is universality in the coupling constants for (B_s^0 rightarrow psi (2S) pi ^+pi ^-) and (B_s^0 rightarrow J/psi pi ^+pi ^-) processes. While the couplings of (B_s^0 rightarrow X(3872) pi ^+pi ^-) are about half of magnitude smaller than the couplings of (B_s^0 rightarrow psi (2S) pi ^+pi ^-), which indicates that the X(3872) is different from a pure charmonium state. Furthermore, we find that the (f_0(1500)) plays an important role in the (B_s^0 rightarrow psi (2S) pi ^+pi ^-) and the (B_s^0 rightarrow X(3872) pi ^+pi ^- (K^+ K^-)) processes, though the phase space of (B_s^0 rightarrow X(3872) f_0(1500)) is small. Also we predict the ratio of branch fractions (mathcal {B}[B_s^0 rightarrow psi (2S)(K^+K^-)_{mathrm{non-}phi }]/ mathcal {B}[B_s^0 rightarrow psi (2S)pi ^+ pi ^-]) and the (K^+ K^-) invariant mass distribution of (B_s^0 rightarrow psi (2S)K^+K^-).
我们对(B_s^0 rightarrow psi (2S) pi ^+pi ^-)的(pi ^+pi ^-)不变质谱、(B_s^0 rightarrow X(3872) pi ^+pi ^- (K^+ K^-))的(pi ^+pi ^-)和(K^+ K^-)不变质谱以及分支分数比(mathcal {B}[B_s^0 rightarrow X(3872)(K^+K^-)_{mathrm{non-}phi }]/ mathcal {B}[B_s^0 rightarrow X(3872)pi ^+ pi ^-])的实验数据进行了统一描述。两个伪标量之间的强最终态相互作用通过参数化实现了一致性和解析性。我们发现(B_s^0 rightarrow psi (2S) pi ^+pi ^-)和(B_s^0 rightarrow J/psi pi ^+pi ^-)过程的耦合常数具有通用性。而(B_s^0 rightarrow X(3872) pi ^+pi ^-)的耦合比(B_s^0 rightarrow psi (2S) pi ^+pi ^-)的耦合大约小一半量级,这表明X(3872)不同于纯粹的调和态。此外,我们发现(f_0(1500))在(B_s^0 rightarrow psi (2S) pi ^+pi ^-)和(B_s^0 rightarrow X(3872) pi ^+pi ^- (K^+ K^-))过程中起重要作用,尽管(B_s^0 rightarrow X(3872) f_0(1500))的相空间较小。我们还预测了分支分数的比例(mathcal {B}[B_s^0 rightarrow psi (2S)(K^+K^-)_{mathrm{non-}phi }]/ mathcal {B}[B_s^0 rightarrow psi (2S)pi ^+ pi ^-])和(B_s^0 rightarrow psi (2S)K^+K^-)的不变质量分布(K^+ K^-)。
{"title":"Unified study of (B_s^0 rightarrow X(3872) pi ^+pi ^- (K^+ K^-)) and (B_s^0 rightarrow psi (2S) pi ^+pi ^- (K^+ K^-)) processes","authors":"Yun-Hua Chen","doi":"10.1140/epjc/s10052-026-15426-4","DOIUrl":"10.1140/epjc/s10052-026-15426-4","url":null,"abstract":"<div><p>We perform a unified description of the experimental data of the <span>(pi ^+pi ^-)</span> invariant mass spectra of <span>(B_s^0 rightarrow psi (2S) pi ^+pi ^-)</span>, the <span>(pi ^+pi ^-)</span> and <span>(K^+ K^-)</span> invariant mass spectra of <span>(B_s^0 rightarrow X(3872) pi ^+pi ^- (K^+ K^-))</span>, and the ratio of branch fractions <span>(mathcal {B}[B_s^0 rightarrow X(3872)(K^+K^-)_{mathrm{non-}phi }]/ mathcal {B}[B_s^0 rightarrow X(3872)pi ^+ pi ^-])</span>. The strong final state interactions between the two pseudoscalars are taken into account using a parametrization fulfilling unitarity and analyticity. We find that there is universality in the coupling constants for <span>(B_s^0 rightarrow psi (2S) pi ^+pi ^-)</span> and <span>(B_s^0 rightarrow J/psi pi ^+pi ^-)</span> processes. While the couplings of <span>(B_s^0 rightarrow X(3872) pi ^+pi ^-)</span> are about half of magnitude smaller than the couplings of <span>(B_s^0 rightarrow psi (2S) pi ^+pi ^-)</span>, which indicates that the <i>X</i>(3872) is different from a pure charmonium state. Furthermore, we find that the <span>(f_0(1500))</span> plays an important role in the <span>(B_s^0 rightarrow psi (2S) pi ^+pi ^-)</span> and the <span>(B_s^0 rightarrow X(3872) pi ^+pi ^- (K^+ K^-))</span> processes, though the phase space of <span>(B_s^0 rightarrow X(3872) f_0(1500))</span> is small. Also we predict the ratio of branch fractions <span>(mathcal {B}[B_s^0 rightarrow psi (2S)(K^+K^-)_{mathrm{non-}phi }]/ mathcal {B}[B_s^0 rightarrow psi (2S)pi ^+ pi ^-])</span> and the <span>(K^+ K^-)</span> invariant mass distribution of <span>(B_s^0 rightarrow psi (2S)K^+K^-)</span>.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 2","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-15426-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147341284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-24DOI: 10.1140/epjc/s10052-025-15084-y
M. A. Alcoforado, R. F. Aranha, H. P. de Oliveira
In this article we present a numerical code, based on the collocation or pseudospectal method, which integrates the equations of the BSSN formalism in cylindrical coordinates. In order to validate the code, we carried out a series of tests, using three groups of initial data: (i) pure gauge evolution; (ii) Teukolsky quadrupole solution for low amplitudes and (iii) Brill and Teukolsky solutions with higher amplitudes, which account for a deviation from the linear regime when compared to the case of low amplitudes. In practically all cases, violations of the Hamiltonian and momentum constraints were analyzed. We also analyze the behavior of the lapse function, which can characterize the collapse of gravitational waves into black holes. Furthermore, all three groups of tests used different computational mesh resolutions and different gauge choices, thus providing a general scan of most of the numerical solutions adopted.
{"title":"Baumgarte–Shapiro–Shibata–Nakamura formalism in cylindrical coordinates: Brill and Teukolsky waves in both linear and nonlinear regimes","authors":"M. A. Alcoforado, R. F. Aranha, H. P. de Oliveira","doi":"10.1140/epjc/s10052-025-15084-y","DOIUrl":"10.1140/epjc/s10052-025-15084-y","url":null,"abstract":"<div><p>In this article we present a numerical code, based on the collocation or pseudospectal method, which integrates the equations of the BSSN formalism in cylindrical coordinates. In order to validate the code, we carried out a series of tests, using three groups of initial data: (i) pure gauge evolution; (ii) Teukolsky quadrupole solution for low amplitudes and (iii) Brill and Teukolsky solutions with higher amplitudes, which account for a deviation from the linear regime when compared to the case of low amplitudes. In practically all cases, violations of the Hamiltonian and momentum constraints were analyzed. We also analyze the behavior of the lapse function, which can characterize the collapse of gravitational waves into black holes. Furthermore, all three groups of tests used different computational mesh resolutions and different gauge choices, thus providing a general scan of most of the numerical solutions adopted.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 2","pages":""},"PeriodicalIF":4.8,"publicationDate":"2026-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15084-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147341926","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}