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Imprints of holographic dark energy and minimally deformed wormholes in general relativity 广义相对论中全息暗能量和最小变形虫洞的印记
IF 6.4 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-12 DOI: 10.1016/j.dark.2026.102219
Mohammad Alshammari , M. Rizwan , Othman Abdullah Almatroud , M.Z. Bhatti , Saleh Alshammari , Z. Yousaf
In this paper, we construct and examine a new type of static, spherically symmetric wormhole geometries within the context of the minimal geometric deformation (MGD) formalism of gravitational decoupling. The seed solution is warped through an auxiliary source, Tθκμ with its temporal component described by holographic dark energy, thus including a phenomenologically driven dark sector. We study the resulting spacetime using several diagnostic tools: the embedding diagram is used to plot the wormhole throat and flare–out structure; the mass function is calculated to examine gravitational energy distribution; the volume integral quantifier is evaluated to determine the total amount of exotic matter needed; and the exoticity parameter is examined to describe the violation of energy conditions. Additionally, the singularity structure is analyzed to validate the regularity of spacetime, while the anisotropy factor is investigated to analyze pressure distributions between tangential and radial directions. Total effective energy–momentum tensor conservation equation is considered with emphasis on the interaction between the seed geometry and the θ-sector. Last, we analyze complexity factors to determine matter–energy content structural organization. We find that the addition of holographic dark energy in the time component of the θ-sector permits traversable, asymptotically flat wormhole solutions with regulated exotic matter and smooth geometric structures.
在本文中,我们在引力解耦的最小几何变形(MGD)形式下构造并检验了一种新的静态球对称虫洞几何形状。种子溶液通过辅助源Tθκμ扭曲,其时间分量由全息暗能量描述,因此包括一个现象学驱动的暗扇区。我们使用了几种诊断工具来研究由此产生的时空:嵌入图用于绘制虫洞的喉部和耀斑结构;计算质量函数来检验引力能的分布;计算体积积分量词以确定所需外来物质的总量;并检验了奇异性参数来描述能量条件的违背。此外,还分析了奇异结构以验证时空的规律性,并研究了各向异性因子以分析切向和径向之间的压力分布。考虑了总有效能量-动量张量守恒方程,重点讨论了种子几何与θ扇形的相互作用。最后,分析复杂性因素,确定物能含量结构组织。我们发现,在θ-扇形的时间分量中添加全息暗能量允许具有调节的奇异物质和光滑几何结构的可穿越的渐近平坦虫洞解。
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引用次数: 0
Wormhole spacetimes in an expanding universe: Energy conditions and future singularities 膨胀宇宙中的虫洞时空:能量条件和未来奇点
IF 6.4 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-08 DOI: 10.1016/j.dark.2026.102213
Taishi Katsuragawa , Shin’ichi Nojiri , Sergei D. Odintsov
We study wormhole geometries embedded in an expanding universe within a four-scalar non-linear σ model, where the target-space metric is identified with the spacetime Ricci tensor. In this framework, wormholes can remain stable even when conventional energy conditions are violated. However, once cosmological expansion is included, the effective energy density and pressure are modified by the cosmological fluid, enabling the energy conditions to be satisfied. We further present intriguing geometries in which a finite future singularity appears in our universe but not in another universe connected by the wormhole. Near the throat, the hypersurface becomes timelike, allowing trajectories to traverse to the other universe before the singularity and return afterwards. We also construct wormhole solutions motivated by galactic dark-matter halo profiles, where the required non-vanishing pressure arises naturally from the four-scalar non-linear σ model.
我们在一个四标量非线性σ模型中研究了嵌入在膨胀宇宙中的虫洞几何形状,其中目标空间度量由时空里奇张量标识。在这个框架中,即使在常规能量条件被破坏的情况下,虫洞也能保持稳定。然而,一旦考虑到宇宙膨胀,有效能量密度和压力就会被宇宙流体修正,从而使能量条件得到满足。我们进一步提出了有趣的几何图形,其中一个有限的未来奇点出现在我们的宇宙中,而不是在由虫洞连接的另一个宇宙中。在喉部附近,超表面变得像时间,允许轨迹在奇点之前穿越到另一个宇宙,并在奇点之后返回。我们还构建了由星系暗物质晕轮廓驱动的虫洞解,其中所需的不消失压力自然来自四标量非线性σ模型。
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引用次数: 0
Gravitational waves from type-I strings in a neutrino mass model 中微子质量模型中i型弦的引力波
IF 6.4 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-07 DOI: 10.1016/j.dark.2025.102204
Adeela Afzal
In this work, we propose a novel realization of type-I cosmic strings arising from the spontaneous breaking of an extended gauge symmetry SU(2)R×U(1)BL in the context of a low-scale split seesaw mechanism for neutrino mass generation. We demonstrate that the split seesaw framework, which explains the smallness of neutrino masses, naturally motivates a small scalar self-coupling λ. This intrinsically links the neutrino mass generation mechanism to the formation of type-I cosmic strings, where the gauge coupling dominates over the scalar self-coupling (β ≡ λ/(2g2) < 1). We explore the cosmological implications of these strings, including their gravitational wave signatures that are testable in current and future experiments. Our findings establish a compelling and testable connection between neutrino mass generation and cosmic string phenomenology in an underexplored region of parameter space.
在这项工作中,我们提出了一种新的实现,即在中微子质量产生的低尺度分裂跷跷板机制的背景下,由扩展规范对称SU(2)R×U(1)B−L的自发断裂产生的i型宇宙弦。我们证明了分裂跷跷板框架,这解释了中微子质量的小,自然地激发了一个小的标量自耦合λ。这内在地将中微子质量产生机制与i型宇宙弦的形成联系起来,其中规范耦合支配着标量自耦合(β ≡ λ/(2g2) <; 1)。我们探索这些弦的宇宙学含义,包括它们的引力波特征,这些特征可以在当前和未来的实验中测试。我们的发现建立了一个令人信服的和可测试的中微子质量产生和宇宙弦现象之间的联系,在一个未被探索的参数空间区域。
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引用次数: 0
Cosmic distance duality after DESI 2024 data release and dark energy evolution DESI 2024数据发布后的宇宙距离对偶和暗能量演化
IF 6.4 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-05 DOI: 10.1016/j.dark.2025.102205
Anna Chiara Alfano , Orlando Luongo
The cosmic distance duality relates angular-diameter and luminosity distances ensuring the cosmological principle, null geodesic motion of photons, and photon number conservation. Hence, any violations would challenge any metric theory of gravity. On the other hand, although independent from the specific cosmological model, it is particularly relevant to revisit the cosmic distance duality in view of recent DESI results, favoring dynamical dark energy over a cosmological constant standard paradigm. To do so, we take into account possible violations by considering four different parameterizations, namely: a Taylor expansion around z ≃ 0, a slightly-departing logarithmic correction, a (1;2) Padé rational series to heal the convergence problem and a Chebyshev polynomial expansion, reducing de facto the systematic errors associated with the analysis. We test each of them in a model-independent (-dependent) way, by working out Monte-Carlo Markov chain analyses, employing the Bézier interpolation of the Hubble rate H(z) for the model-independent approach while assuming the flat (non-flat) ΛCDM and ω0ω1CDM models, motivating the latter paradigm in view of the DESI findings. Subsequently, we explore two analyses, employing observational Hubble data, galaxy clusters from the Sunyaev-Zeldovich effect and type Ia supernovae, investigating the impact of the DESI data catalog, first including then excluding the entire data set. Afterwards, we adopt statistical model selection criteria to assess the statistically favored cosmological model. Our results suggest no violation of the cosmic distance duality as the contour plots suggest, where the parameter used to address a possible violation is independent of the background cosmological models adopted. Moreover, from our analyses we conclude that the Taylor parametrization is the worst performing and that the largest deviations from 0 at z ≈ 2 are found when the DESI sample is removed. In particular, for the flat case the cosmic distance duality is less than 2.1% (Bézier), 1.7% (ΛCDM) and 2.1% (ω0ω1CDM) with DESI versus 5.1% (Bézier), 3.3% (ΛCDM) and 7.0% (ω0ω1CDM) without DESI. This is even more accentuated when the curvature is accounted for, when we consider DESI the cosmic distance duality is less 4.0%, 1.2% and 2.1% while without the BAO it is less than 22.0%, 2.2% and 11.0% for Bézier, the concordance and ω0ω1CDM scenario, respectively. Finally, while a slight spatial curvature cannot be entirely excluded, the preferred cosmological model remains the flat ΛCDM background, even when incorporating DESI data.
宇宙距离二象性涉及角直径距离和光度距离,保证了宇宙学原理、光子的零测地线运动和光子数守恒。因此,任何违反都将挑战任何度量引力理论。另一方面,尽管独立于特定的宇宙学模型,但鉴于最近的DESI结果,更倾向于动态暗能量而不是宇宙学常数标准范式,重新审视宇宙距离对偶性是特别相关的。为此,我们考虑了四种不同的参数化,即:围绕z ≃ 0的泰勒展开式、轻微偏离的对数修正、(1;2)pad有理级数来解决收敛问题和Chebyshev多项式展开式,从而减少了与分析相关的系统误差。我们以模型独立(-依赖)的方式对它们进行了测试,通过计算蒙特卡洛马尔可夫链分析,采用哈勃率H(z)的bziier插值方法进行模型独立方法,同时假设平坦(非平坦)ΛCDM和ω0ω1CDM模型,根据DESI的发现激发后者的范式。随后,我们利用哈勃观测数据、来自Sunyaev-Zeldovich效应的星系团和Ia型超新星进行了两项分析,研究了DESI数据目录的影响,首先包括了整个数据集,然后又排除了整个数据集。然后,我们采用统计模型选择标准来评估统计上有利的宇宙学模型。我们的结果表明,宇宙距离对偶性没有像等高线图所显示的那样被破坏,其中用于解决可能的破坏的参数与所采用的背景宇宙学模型无关。此外,从我们的分析中我们得出结论,Taylor参数化是表现最差的,当DESI样本被移除时,在z ≈ 2处发现与0的最大偏差。特别地,对于平坦的情况,有DESI的宇宙距离对偶性小于2.1% (bzazier)、1.7% (ΛCDM)和2.1% (ω0ω1CDM),而没有DESI的宇宙距离对偶性小于5.1% (bzazier)、3.3% (ΛCDM)和7.0% (ω0ω1CDM)。当考虑到曲率时,这一点更加突出,当我们考虑DESI时,宇宙距离对偶性分别小于4.0%,1.2%和2.1%,而在没有BAO的情况下,bzazier,一致性和ω0ω1CDM情景分别小于22.0%,2.2%和11.0%。最后,虽然不能完全排除轻微的空间曲率,但首选的宇宙学模型仍然是平坦的ΛCDM背景,即使合并了DESI数据。
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引用次数: 0
Phase structure, thermal fluctuations and emission spectrum of nonlinear electrodynamics AdS black holes surrounded by cloud of strings 弦云包围下非线性电动力学AdS黑洞的相结构、热波动和发射光谱
IF 6.4 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-03 DOI: 10.1016/j.dark.2025.102207
Faisal Javed , A. Eid , Abdelmalek Bouzenada , Arfa Waseem , N. Mustapha , Munisbek Akhmedov , Yunus Turaev , Ertan Güdekli
This paper presents a comprehensive analysis of the Joule–Thomson (J-T) expansion and thermodynamic properties of charged AdS black holes (BHs) coupled to nonlinear electrodynamics and embedded within a string cloud with particular emphasis on elucidating the profound role of thermal fluctuations. By formulating the equation of state and analyzing the J-T coefficient, we distinguish the heating and cooling phases of the BH and demonstrate how the mass, string cloud parameter and deviation parameter κ influence the transition between them. The isenthalpic curves in the TP plane reveal that larger BH masses enhance cooling efficiency while nonlinear electrodynamics suppresses it. Incorporating logarithmic corrections due to thermal fluctuations, we study the corrected entropy and various thermodynamic potentials, including the Helmholtz free energy, internal energy, enthalpy, Gibbs free energy and heat capacity. Evidence from the analysis suggests that quantum thermal corrections significantly alter the stability profile of AdS BHs. Configurations of small horizon radius exhibit negative heat capacity, thereby entering an unstable regime, whereas sufficiently large BHs undergo a transition to positive capacity, restoring stability and equilibrium. The radiative spectrum, moreover, is characterized by a pronounced peak at intermediate frequencies, echoing the profile of Hawking emission yet distinctly modified through nonlinear electrodynamic contributions. Collectively, these insights establish that nonlinear electrodynamics, the presence of a string cloud, and quantum fluctuations are fundamental determinants in shaping the phase structure, equilibrium properties, and radiative dynamics of AdS BHs.
本文综合分析了非线性电动力学耦合的带电AdS黑洞(BHs)的焦耳-汤姆逊(J-T)膨胀和热力学性质,特别强调了热波动的深刻作用。通过建立状态方程和分析J-T系数,我们区分了黑洞的加热阶段和冷却阶段,并论证了质量、弦云参数和偏差参数κ如何影响它们之间的转变。T - P平面的等焓曲线表明,较大的黑洞质量提高了冷却效率,而非线性电动力学则抑制了冷却效率。结合热波动的对数修正,我们研究了修正后的熵和各种热力学势,包括亥姆霍兹自由能、内能、焓、吉布斯自由能和热容。来自分析的证据表明,量子热修正显著地改变了AdS黑洞的稳定性。视界半径小的构型表现为负热容量,从而进入不稳定状态,而足够大的黑洞经历向正热容量的过渡,恢复稳定和平衡。此外,辐射谱的特点是在中频处有一个明显的峰值,这与霍金发射的轮廓相呼应,但由于非线性电动力贡献而明显改变。总的来说,这些见解确立了非线性电动力学、弦云的存在和量子涨落是形成AdS黑洞的相结构、平衡特性和辐射动力学的基本决定因素。
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引用次数: 0
Gravitational lensing effects on neutrino oscillations around static black hole in effective quantum gravity 有效量子引力中静态黑洞周围中微子振荡的引力透镜效应
IF 6.4 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-02 DOI: 10.1016/j.dark.2025.102194
Sojida Mannobova , Bakhtiyor Narzilloev , Farruh Atamurotov , Ahmadjon Abdujabbarov , Ibrar Hussain , Bobomurat Ahmedov
In this paper, we focus on the influence of effective quantum gravity corrections on neutrino oscillations around static black holes. Following a covariant Hamiltonian, which maintains diffeomorphism invariance, we consider a black hole metric from semiclassical quantum gravity and look at how the parameter ξ/M, which describes the deviation from the Schwarzschild solution affects the neutrino flavor transitions. The analysis includes both radial and non-radial propagation of neutrinos with emphasis on their gravitational lensing. The analysis is performed with two- and three-flavor oscillation models with normal and inverted mass hierarchy configurations and varying effective neutrino mass values. The calculation of the energy deposition rate due to neutrino annihilation is also presented.
本文主要研究了有效量子引力修正对静态黑洞周围中微子振荡的影响。继协变哈密顿量之后,我们考虑了一个来自半经典量子引力的黑洞度规,并研究了描述偏离史瓦西解的参数ξ/M如何影响中微子风味跃迁。分析包括中微子的径向和非径向传播,重点是它们的引力透镜效应。采用正常质量层次结构和反向质量层次结构以及不同有效中微子质量值的二味和三味振荡模型进行了分析。并给出了中微子湮灭后能量沉积速率的计算方法。
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引用次数: 0
Observational constraints on the rotating Fang-Wang black hole from EHT shadow imaging of M87* and Sgr A* M87*和Sgr A* EHT阴影成像对Fang-Wang黑洞旋转的观测约束
IF 6.4 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-31 DOI: 10.1016/j.dark.2025.102203
Himanshi Gulia , J.K. Singh , Farruh Atamurotov , Sushant G. Ghosh
We examine the shadow properties of the rotating Fang-Wang black hole (RFWBH)-a regular black hole solution constructed via the Newman-Janis algorithm from a spherically symmetric solution in general relativity with nonlinear electrodynamics–described by the parameters mass, spin, and a deviation parameter M, a, and l respectively. In turn, we analyse the horizon structure and the ergoregion, demonstrating how l modifies these features compared to the Kerr solution. The shadow of a black hole is studied using celestial coordinates, revealing that increasing l reduces the shadow size and distorts its shape. By employing shadow observables - oblateness D and area A—we estimate the parameters a and l. We further constrain the RFWBH parameter space using recent Event Horizon Telescope (EHT) observations of Sgr A* and M87*, particularly through measurements of the angular shadow diameter. For M87*, at inclination θ=17, (a/M, l/M) ≤ [0.59, 0.07953], with l/M upper bounded for 0.59 ≤ a ≤ 0.8428 lowering with spin; at θ=90, (a/M, l/M) ≤ [0.39, 0.09869] with similar upper bounds on l/M for 0.39 ≤ a ≤ 0.8164. In the case of Sgr A*, the parameter space is constrained as follows: at inclination θ=50, the allowed range for a/M and l/M are [0,0.6692] and [0,0.0305], respectively; and for 90, the allowed ranges for a/M and l/M are [0,0.759] and [0,0.03075], respectively. We also analyse the energy emission rate, finding that the deviation parameter l subdues high-energy emission. Our results indicate that RFWBHs are consistent with current EHT observations and represent viable alternatives to astrophysical black hole models.
我们研究了旋转Fang-Wang黑洞(RFWBH)的阴影特性,这是一个由广义相对论中具有非线性电动力学的球对称解通过Newman-Janis算法构造的规则黑洞解,分别由参数质量、自旋和偏差参数M、a和l描述。反过来,我们分析了视界结构和遍历区域,演示了与Kerr解决方案相比,l如何修改这些特征。利用天体坐标研究了黑洞的阴影,发现增加l会减小阴影的大小并扭曲其形状。通过使用阴影观测值——扁率D和面积a,我们估计了参数a和l。我们利用事件视界望远镜(EHT)最近对Sgr a *和M87*的观测,特别是通过测量角阴影直径,进一步限制了RFWBH参数空间。对于M87*,在倾角θ=17°时,(a/M, l/M) ≤ [0.59,0.07953],l/M上限为0.59 ≤ a ≤ 0.8428随自旋降低;θ=90°,(a/M, l/M) ≤ [0.39,0.09869],l/M的上界为0.39 ≤ a ≤ 0.8164。在Sgr A*的情况下,参数空间受如下限制:在倾角θ=50°时,A /M和l/M的允许范围分别为[0,0.6692]和[0,0.0305];对于90°,a/M和l/M的允许范围分别为[0,0.759]和[0,0.03075]。我们还分析了能量发射速率,发现偏差参数l抑制了高能发射。我们的研究结果表明,RFWBHs与目前的EHT观测结果一致,并代表了天体物理学黑洞模型的可行替代方案。
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引用次数: 0
Images and photon regions of continuous photon sphere spacetime 连续光子球时空的图像和光子区域
IF 6.4 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-30 DOI: 10.1016/j.dark.2025.102209
Long-Yue Li , Xia-Yuan Liu , Rong-Gen Cai , Yungui Gong , Wenting Zhou
We study images of spacetimes containing continuous photon spheres (CPS). For a self-gravitating, isotropic, spherically symmetric spacetime with CPS, we find that a thin accretion disk produces images that closely resemble those of a Schwarzschild black hole, despite significant differences in photon dynamics. More generally, for any static, spherically symmetric spacetime with a luminous CPS core, the image profile is universal: members of this class produce identical image shapes, differing only by an overall normalization factor. This universality is, however, sensitive to the nature of the accretion flow and breaks down for spherically symmetric infalling accretion, where Doppler shifts and non-static emission introduce image features that depend on the flow dynamics and the metric. Finally, we investigate photon regions in a rotating CPS spacetime and find that unlike in Kerr spacetime, the photon region appears as one or two angular sectors in a constant-ϕ cross section. These distinctive photon region properties could produce observable signatures that distinguish rotating CPS spacetimes from the Kerr one.
我们研究包含连续光子球(CPS)的时空图像。对于具有CPS的自引力、各向同性、球对称时空,我们发现薄吸积盘产生的图像与史瓦西黑洞非常相似,尽管光子动力学存在显著差异。更一般地说,对于任何具有发光CPS核心的静态球对称时空,图像轮廓是通用的:这类成员产生相同的图像形状,只是整体归一化因子不同。然而,这种普遍性对吸积流的性质很敏感,对于球对称的吸积来说就不适用了,在球对称吸积中,多普勒频移和非静态发射引入了依赖于流动力学和度量的图像特征。最后,我们研究了旋转CPS时空中的光子区域,发现与Kerr时空不同,光子区域在恒定的- φ截面中表现为一个或两个角扇区。这些独特的光子区域特性可以产生可观察到的特征,将旋转CPS时空与克尔时空区分开来。
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引用次数: 0
Generalized free energy landscapes from Iyer-Wald formalism 从yer- wald形式论出发的广义自由能景观
IF 6.4 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-30 DOI: 10.1016/j.dark.2025.102210
Shan-Ping Wu , Yu-Xiao Liu , Shao-Wen Wei
The generalized free energy landscape plays a pivotal role in understanding black hole thermodynamics and phase transitions. In general relativity, one can directly derive the generalized free energy from the contributions of black holes exhibiting conical singularities. In this work, we extend this idea to general covariant theories. By employing Noether’s second theorem, we present an alternative formulation of the Lagrangian, which can elucidate the role of conical singularities. We demonstrate that, in general, the contribution from conical singularities depends on the specific implementation of the regularization scheme and is not uniquely determined; this feature is explicitly exhibited and confirmed in three-dimensional new massive gravity. Nevertheless, these ambiguities can be absorbed into the second-order (and higher) corrections induced by conical singularities when the gravitational theory is described by the Lagrangian L(gab, Rabcd). Moreover, for certain theories such as general relativity and Bumblebee gravity, this contribution simplifies to a well-defined result. However, the interpretation of the generalized free energy in Bumblebee gravity is somewhat different, with its extrema corresponding to the geometry of conical singularities. Our results uncover the particular properties of the generalized free energy beyond general relativity.
广义自由能景观在理解黑洞热力学和相变方面起着关键作用。在广义相对论中,人们可以直接从具有锥形奇点的黑洞的贡献中推导出广义自由能。在这项工作中,我们将这一思想推广到一般协变理论。利用诺特第二定理,我们给出了拉格朗日的另一种表述,它可以阐明圆锥奇点的作用。我们证明,在一般情况下,锥奇点的贡献取决于正则化方案的具体实现,并不是唯一确定的;这一特征在三维新质量引力中得到了明确的展示和证实。然而,当拉格朗日L(gab, Rabcd)描述引力理论时,这些模糊性可以被吸收到由锥形奇点引起的二阶(或更高阶)修正中。此外,对于某些理论,如广义相对论和大黄蜂引力,这一贡献简化为一个定义良好的结果。然而,对大黄蜂引力中广义自由能的解释有些不同,其极值对应于圆锥奇点的几何形状。我们的结果揭示了广义自由能超越广义相对论的特殊性质。
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引用次数: 0
Analytic and numerical constraints on QPOs in EHT and XRB sources using quantum-corrected black holes 基于量子修正黑洞的EHT和XRB源QPOs的解析和数值约束
IF 6.4 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-29 DOI: 10.1016/j.dark.2025.102206
Ahmad Al-Badawi , Faizuddin Ahmed , Orhan Dönmez , Fatih Doğan , Behnam Pourhassan , i̇zzet Sakallı , Yassine Sekhmani
This investigation examines quasi-periodic oscillations (QPOs) in two quantum-corrected black hole (BH) spacetimes that preserve general covariance while incorporating quantum gravitational effects through a dimensionless parameter ζ. We combine analytical derivations of epicyclic frequencies with comprehensive numerical simulations of Bondi-Hoyle-Lyttleton (BHL) accretion to explore how quantum corrections manifest in observable astrophysical phenomena. Using a fiducial BH mass of M=10M representative of stellar-mass X-ray binaries, we demonstrate that the two models exhibit fundamentally different behaviors: Model-I modifies both temporal and radial metric components, leading to innermost stable circular orbit migration proportional to ζ4 and dramatic stagnation point evolution from 27M to 5M as quantum corrections strengthen. Model-II preserves the classical temporal component while altering only spatial geometry, maintaining constant stagnation points and stable cavity structures throughout the parameter range. Our numerical simulations reveal distinct QPO generation mechanisms, with Model-I showing systematic frequency evolution and cavity shrinkage that suppresses oscillations for ζ ≥ 3M, while Model-II maintains stable low-frequency modes up to ζ ≥ 5M. Power spectral density analyzes demonstrate characteristic frequency ratios (3: 2, 2: 1, 5: 3) consistent with observations from X-ray binaries, providing specific targets for discriminating between quantum correction scenarios. The hydrodynamically derived constraints (ζ ≲ 4M) show remarkable agreement with independent Event Horizon Telescope limits for M87* and Sgr A*, validating our theoretical framework through multiple observational channels. These results establish QPO frequency analysis as a probe for detecting quantum gravitational effects in astrophysical BHs and demonstrate the complementary nature of timing and imaging observations in constraining fundamental physics.
本研究考察了两个量子校正黑洞(BH)时空中的准周期振荡(QPOs),这些时空保持了一般协方差,同时通过无量纲参数ζ结合了量子引力效应。我们将行星周期频率的解析推导与Bondi-Hoyle-Lyttleton (BHL)吸积的综合数值模拟结合起来,探索量子修正如何在可观测的天体物理现象中表现出来。利用代表恒星质量x射线双星的基准黑洞质量M=10M⊙,我们证明了这两个模型表现出根本不同的行为:模型1修改了时间和径向度量分量,导致最内层稳定的圆轨道偏移与ζ4成比例,并且随着量子修正的加强,从27M到5M的急剧停滞点演化。模型ii保留了经典的时间分量,同时只改变了空间几何形状,在整个参数范围内保持恒定的驻点和稳定的空腔结构。我们的数值模拟揭示了不同的QPO产生机制,模型- 1显示系统的频率演化和空腔收缩,抑制ζ ≥ 3M的振荡,而模型- ii保持稳定的低频模式,直至ζ ≥ 5M。功率谱密度分析表明,特征频率比(3:2、2:1、5:3)与x射线双星观测结果一致,为区分量子校正场景提供了具体目标。流体动力学推导的约束(ζ ≤ 4M)与M87*和Sgr A*的独立事件视界望远镜极限具有显著的一致性,通过多个观测渠道验证了我们的理论框架。这些结果建立了QPO频率分析作为探测天体物理黑洞量子引力效应的探针,并证明了时序和成像观测在约束基础物理中的互补性。
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Physics of the Dark Universe
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