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Kaon GTMDs in the Dyson–Schwinger equations using contact interaction 使用接触相互作用的Dyson-Schwinger方程中的Kaon gtmd
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-07 DOI: 10.1140/epjc/s10052-025-15224-4
Jin-Li Zhang

An array of the kaon twist-two, three, four generalised transverse momentum dependent parton distributions (GTMDs) has been investigated within the framework of covariant and confining Dyson–Schwinger equations using contact interaction. GTMDs are of great significance as they encompass information regarding both the generalised parton distributions (GPDs) and the transverse momentum dependent parton distributions (TMDs), thus being considered as the parent distribution. From GTMDs, we can derive the twist-two, three, four GPDs and TMDs. GPDs are obtained through the integration of (varvec{k}_{perp }) from GTMDs, with a focus on the twist-two GPDs. The first Mellin moments of GPDs yield the form factors of local currents. The second Mellin moments of vector GPDs are related to gravitational form factors. The Wigner distribution can be obtained from a Fourier transform in the transverse space of the GTMDs at skewedness parameter (xi =0.) The Wigner distributions of an unpolarized, longitudinally polarized, and transversely polarized quark inside the kaon have been calculated. Through the three twist-two Wigner distributions, we study the dynamical spin effects of the quarks inside kaon to reveal its multidimensional structure. The spin-orbit correlations between a hadron and a quark can be explained based on the phase-space average of Wigner distributions. We investigate the correlation between the longitudinal spin and orbital angular momentum of valence quarks within the pion and kaon. Our findings reveal that (C_z^{u,K}=-0.336,) (C_z^{s,K}=0.242,) and (C_z^{u,pi }=-0.374.) The parton distribution function in impact parameter space can be derived from the Wigner distribution. The study focuses on the light-front transverse-spin distributions (rho _u^1left( varvec{b}_{bot },varvec{s}_{perp }right) ) and (rho _u^2left( varvec{b}_{bot },varvec{s}_{perp }right) ,) which exhibit distortions, and we calculate their average shift. This comprehensive analysis will enhance our understanding of the parton distribution picture of kaons. While there have been a few theoretical studies investigating the GTMDs in experiments, no experimental data is currently available. The results of our model calculation offer qualitative insights into these distributions.

利用接触相互作用在协变和约束Dyson-Schwinger方程的框架内研究了一组kaon扭转-二、三、四广义横向动量相关部分子分布(GTMDs)。gtmd包含了广义部子分布(gpd)和横向动量相关部子分布(TMDs)的信息,因此被认为是母分布,具有重要意义。从gtmd中,我们可以推导出扭转-二、三、四gpd和tmd。gpd是通过对gtmd中(varvec{k}_{perp })的整合得到的,重点是扭转-两个gpd。GPDs的第一个梅林矩产生了局部电流的形状因子。矢量gpd的二阶Mellin矩与引力形状因子有关。在偏度参数(xi =0.)处对GTMDs的横向空间进行傅里叶变换,得到了Wigner分布。计算了kaon内未极化、纵向极化和横向极化夸克的Wigner分布。通过三扭二维格纳分布,研究了夸克内部的动态自旋效应,揭示了其多维结构。强子和夸克之间的自旋轨道关系可以用维格纳分布的相空间平均来解释。研究了介子和介子中价夸克的纵向自旋和轨道角动量之间的关系。我们的研究结果表明(C_z^{u,K}=-0.336,)(C_z^{s,K}=0.242,)和(C_z^{u,pi }=-0.374.)在冲击参数空间中的部分分布函数可以由Wigner分布推导出来。研究了光前横向自旋分布(rho _u^1left( varvec{b}_{bot },varvec{s}_{perp }right) )和(rho _u^2left( varvec{b}_{bot },varvec{s}_{perp }right) ,)表现出畸变,并计算了它们的平均位移。这一综合分析将增强我们对介子的部分分布的认识。虽然有一些理论研究在实验中调查了gtmd,但目前没有实验数据。我们的模型计算结果为这些分布提供了定性的见解。
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引用次数: 0
Erratum to: Common femtoscopic hadron-emission source in pp collisions at the LHC 校误:在大型强子对撞机的pp碰撞中常见的飞镜强子发射源
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-07 DOI: 10.1140/epjc/s10052-025-15143-4
ALICE Collaboration
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引用次数: 0
End-to-end reconstruction of ultra-high energy particle observables from radio detection of extensive air showers 从广泛的空气阵雨的无线电探测中观测到的超高能量粒子的端到端重建
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-07 DOI: 10.1140/epjc/s10052-025-15162-1
Kewen Zhang, Kaikai Duan, Ramesh Koirala, Matías Tueros, Chao Zhang, Yi Zhang

The radio detection of very inclined air showers offers a promising avenue for studying ultra-high-energy cosmic rays (UHECRs) and neutrinos. Accurate reconstruction methods are essential for investigating the properties of primary particles. Recently, we developed an analytical (chi ^2) minimization method to reconstruct the electric field using three polarization components. The reconstruction yields no bias, with a 68% confidence interval of [(-)0.02, 0.02], and a standard deviation of 0.04 in the reconstruction of the peak envelope amplitude. In this paper, we perform a realistic reconstruction of the properties of primary particles using this reconstructed electric field. We employ a spherical wave model combined with an angular distribution function for arrival direction reconstruction, achieving an angular resolution of (0.04^circ ). We also present an energy reconstruction after accounting for the change in radio emission mechanisms in inclined air showers. We implement a new air-density correction factor, resulting in a 10% energy resolution. These results match the precision obtained when using simulated electric fields. These findings demonstrate the reliability and effectiveness of the recently developed electric field reconstruction methodology for its application on a typical event reconstruction chain. This ensures that the critical step of computing the electric field from the measure voltage at the antenna does not affect our ability to infer the properties of the primary particles, paving the way for future applications in radio experiments.

非常倾斜的空气阵雨的无线电探测为研究超高能宇宙射线(uhecr)和中微子提供了一条有前途的途径。精确的重构方法对于研究原生粒子的性质至关重要。最近,我们开发了一种解析的(chi ^2)最小化方法来重建三个极化分量的电场。重建无偏差,68分% confidence interval of [(-)0.02, 0.02], and a standard deviation of 0.04 in the reconstruction of the peak envelope amplitude. In this paper, we perform a realistic reconstruction of the properties of primary particles using this reconstructed electric field. We employ a spherical wave model combined with an angular distribution function for arrival direction reconstruction, achieving an angular resolution of (0.04^circ ). We also present an energy reconstruction after accounting for the change in radio emission mechanisms in inclined air showers. We implement a new air-density correction factor, resulting in a 10% energy resolution. These results match the precision obtained when using simulated electric fields. These findings demonstrate the reliability and effectiveness of the recently developed electric field reconstruction methodology for its application on a typical event reconstruction chain. This ensures that the critical step of computing the electric field from the measure voltage at the antenna does not affect our ability to infer the properties of the primary particles, paving the way for future applications in radio experiments.
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引用次数: 0
Optical appearance of Schwarzschild black holes with optically thin and thick accretion disks at various inclination angles 具有不同倾角吸积盘的史瓦西黑洞的光学外观
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-06 DOI: 10.1140/epjc/s10052-025-15183-w
Jiawei Chen, Jinsong Yang

In this paper, we systematically investigate the optical appearance of a Schwarzschild black hole illuminated by three geometrically thin accretion disk models under varying observational inclination angles. Based on the geometric relationship between the black hole and observer, we first divide the accretion disk into co-side and counter-side semi-disks. We then analyze light ray trajectories, and calculate the total number of orbits and transfer functions for both semi-disks. The results reveal distinct inclination-dependence of lensed regions on different semi-disks: as inclination increases, the lensed region contracts for the counter-side semi-disk while expanding for the co-side one. Furthermore, through explicit specification of the emission profiles of the three models, we present optical images for both optically thin and thick disk scenarios at different inclinations. The results demonstrate that: (i) the bright rings in all three models become progressively compressed and deviate from circularity as inclination increases; (ii) for thick disks, partial rings are obscured and the overall intensity is lower than thin disks. These results may advance our understanding of general black hole imaging processes and provide a new approach to test gravitational theories through optical morphology studies.

在本文中,我们系统地研究了三种几何薄吸积盘模型在不同观测倾角下照射史瓦西黑洞的光学外观。根据黑洞与观测者之间的几何关系,我们首先将吸积盘划分为同侧半盘和对侧半盘。然后,我们分析了光线轨迹,并计算了两个半圆盘的轨道总数和传递函数。结果表明,不同半圆盘上透镜区域的倾斜度依赖性明显:随着倾斜度的增加,对侧半圆盘上透镜区域收缩,而对侧半圆盘上透镜区域膨胀。此外,通过明确说明三种模型的发射轮廓,我们给出了不同倾角下光学薄盘和厚盘场景的光学图像。结果表明:(1)随着倾角的增大,三种模式下的亮环逐渐被压缩并偏离圆度;(ii)对于厚盘,部分环被遮挡,整体强度低于薄盘。这些结果可能会促进我们对一般黑洞成像过程的理解,并提供一种通过光学形态学研究来测试引力理论的新方法。
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引用次数: 0
Multi-messenger standard-siren cosmology for third-generation gravitational-wave detectors: forecasts considering observations of gamma-ray bursts and kilonovae 第三代引力波探测器的多信使标准警报器宇宙学:考虑伽玛射线暴和千新星观测的预测
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-05 DOI: 10.1140/epjc/s10052-025-15114-9
Tao Han, Jing-Fei Zhang, Xin Zhang

In the third-generation (3G) gravitational-wave (GW) detector era, GW multi-messenger observations for binary neutron star merger events can exert significant effects on exploring the cosmic expansion history. Extending a previous work, we explore the potential of 3G GW standard siren observations in cosmological parameter estimation by considering their associated electromagnetic (EM) counterparts, including (gamma )-ray burst (GRB) coincidence observations by the Gravitational Wave High-energy Electromagnetic Counterpart All-sky Monitor and GW-triggered target-of-opportunity observations of kilonovae by different optical survey projects. During an assumed 10-year observation, we predict that the number of detectable GW-kilonova events is (sim 4900) with redshifts below (sim 0.4) under the GW detector network and Large Synoptic Survey Telescope in the i band, which is more than three times that of GW-GRB detections. For the cosmological analysis, we find that with the inclusion of GW-kilonova detections, the constraints on cosmological parameters from GW-EM detections are significantly improved compared to those from GW-GRB detections. In particular, GW-EM detections can tightly constrain the Hubble constant with precision ranging from (0.076%) to (0.034%). Moreover, GW multi-messenger observations can effectively break the cosmological parameter degeneracies generated by the typical EM observations, CMB+BAO+SN (CBS). The combination of CBS and GW-EM can tightly constrain the equation-of-state parameters of dark energy w in the wCDM model and (w_0) in the (w_0w_a)CDM model with precision of (0.72%) and (0.99%), respectively, meeting the standard of precision cosmology. In conclusion, GW multi-messenger observations could play a crucial role in helping solve the Hubble tension and probing the fundamental nature of dark energy.

在第三代(3G)引力波(GW)探测器时代,双中子星并合事件的GW多信使观测对探索宇宙膨胀史具有重要意义。在前人工作的基础上,我们探讨了3G GW标准警号观测在宇宙学参数估计中的潜力,并考虑了它们相关的电磁(EM)对象物,包括引力波高能电磁对象物全天监测仪的(gamma )射线暴(GRB)重合观测和不同光学巡天项目的千新星的GW触发机会目标观测。在假设的10年观测中,我们预测在GW探测器网络和大型天气巡天望远镜的i波段可探测到的GW-千新星事件的数量为(sim 4900),红移低于(sim 0.4),这是GW- grb探测到的三倍以上。对于宇宙学分析,我们发现,与gww - grb探测相比,gww - em探测对宇宙学参数的约束得到了显著改善。特别地,GW-EM探测可以严格约束哈勃常数,精度范围从(0.076%)到(0.034%)。此外,GW多信使观测可以有效地打破典型EM观测CMB+BAO+SN (CBS)产生的宇宙学参数简并。CBS与GW-EM的结合可以对wCDM模型中暗能量w和(w_0w_a) CDM模型中(w_0)的状态方程参数进行严密约束,精度分别达到(0.72%)和(0.99%),满足精密宇宙学的标准。总之,GW多信使观测可以在帮助解决哈勃张力和探索暗能量的基本性质方面发挥关键作用。
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引用次数: 0
Impact of nonlinear electrodynamics on particle motion around a charged black hole with matter coupling 非线性电动力学对带电黑洞周围物质耦合粒子运动的影响
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-05 DOI: 10.1140/epjc/s10052-025-15166-x
Amna Saleem, Bushra Majeed, Zulfiqar Ali, Allah Ditta, Asalkhon Alimova, Phongpichit Channuie, Farruh Atamurotov

We study the dynamics of particles near a charged back hole (BH) in the f(RT) theory of gravity coupled with nonlinear electrodynamics and analyze how the parameters of the BH affect the motion of test particles. We discuss the stability of the circular orbits by employing the effective potential technique. We derive the mathematical expressions for the particle energy and its angular momentum as a function of the BH parameters and study them graphically. We also study the innermost stable circular orbits and the effective force acting on the test particles. The epicyclic oscillations of test particles are examined, and the analytical expressions for the radial frequency, the vertical frequency, and the orbital frequency are obtained. We also discuss the frequency of the periastron precession of particles. We show that the BH parameters have a significant impact on the particle dynamics. We observe that the effective potential increases with increasing charge and angular momentum, and the orbits are more unstable compared with the smaller values of these parameters: as the BH charge or the particle’s angular momentum increases, the particle experiences a greater effective force. However, it is not affected by the BH parameters a and b. We investigate the emission energy as a thermodynamic property of the BH and discuss the evaporation aspects of the BH.

在f(R, T)引力耦合非线性电动力学理论中,研究了带电后孔(BH)附近粒子的动力学,并分析了BH参数对测试粒子运动的影响。我们用有效势技术讨论了圆轨道的稳定性。我们导出了粒子能量及其角动量作为黑洞参数函数的数学表达式,并对其进行了图解研究。我们还研究了最内层稳定的圆轨道和作用在测试粒子上的有效作用力。研究了被试粒子的周转振荡,得到了径向频率、垂直频率和轨道频率的解析表达式。我们还讨论了粒子在日冕周围进动的频率。我们发现黑洞参数对粒子动力学有显著的影响。我们观察到有效势随着电荷和角动量的增加而增加,与这些参数较小的值相比,轨道更不稳定:随着黑洞电荷或粒子角动量的增加,粒子受到更大的有效力。然而,它不受黑洞参数a和b的影响。我们研究了发射能量作为黑洞的热力学性质,并讨论了黑洞的蒸发方面。
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引用次数: 0
Threshold resummation for W-boson pair production at NNLO+NNLL NNLO+NNLL的w -玻色子对生产阈值恢复
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-05 DOI: 10.1140/epjc/s10052-025-15206-6
Pulak Banerjee, Chinmoy Dey, M. C. Kumar, Vaibhav Pandey

We present results for threshold resummation of the invariant mass distribution, for on-shell production of a pair of W bosons at next-to-next-to-leading order + next-to-next-to-leading logarithmic(NNLO+NNLL) accuracy in QCD. Owing to its sensitivity to the self-interactions between gauge bosons, this process is important to investigate at the energies of the Large Hadron Collider(LHC). We achieve this resummation by exploiting the factorization properties of the soft and virtual parts of the partonic cross-section. Our analysis has been carried out for the invariant mass distribution up to Q = 2500 GeV. At this highest Q we find that, for 13.6 TeV LHC, the NNLL resummation enhances the NNLO cross-sections by about (6.3%) and reduces the conventional scale uncertainties from (6.8%) at NNLO to (4.1%) at NNLO+NNLL. We also estimate the intrinsic uncertainties due to the non-perturbative parton distribution functions at the highest perturbative order, for both fixed-order and resummed results, to be around (3%) for (Q sim ) 2000 GeV.

我们给出了在QCD中以次-次-次-前阶+次-次-前阶对数(NNLO+NNLL)精度产生一对W玻色子的不变量质量分布的阈值恢复的结果。由于它对规范玻色子之间的自相互作用的敏感性,这一过程对于在大型强子对撞机(LHC)的能量下进行研究是重要的。我们利用部分子截面的软部和虚部的因数分解特性来实现这种恢复。我们对Q = 2500 GeV以下的不变质量分布进行了分析。在这个最高Q处,我们发现,对于13.6 TeV的大型强子对撞机,NNLL恢复将NNLO截面增大了约(6.3%),并将常规尺度不确定性从NNLO的(6.8%)减小到NNLO+NNLL的(4.1%)。我们还估计,对于固定阶和恢复结果,由于最高扰动阶的非摄动部分分布函数的固有不确定性在(Q sim ) 2000 GeV中约为(3%)。
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引用次数: 0
High-quality Peccei-Quinn symmetry from the interplay of vertical and horizontal gauge symmetries 高质量的Peccei-Quinn对称来自垂直和水平规范对称的相互作用
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-05 DOI: 10.1140/epjc/s10052-025-15175-w
Luca Di Luzio, Giacomo Landini, Federico Mescia, Vasja Susič

We explore a class of axion models where an accidental (textrm{U}(1)) Peccei-Quinn (PQ) symmetry automatically emerges from the interplay of vertical (grand-unified) and horizontal (flavor) gauge symmetries. We study a specific Pati-Salam realization in detail, and aim to generalize the conclusions. We show that our specific model offers protection from PQ-violating operators to high dimension, and demonstrate that the model can reproduce the Standard Model flavor structure. A distinctive feature of the vertical-horizontal setup is the presence of parametrically light fermions, known as anomalons, which are introduced to cancel the gauge anomalies of the flavor symmetry. We also identify a major challenge to building a fully realistic model, most notably that of Landau poles in gauge couplings before the Planck scale. For the specific model investigated, the pre-inflationary PQ-breaking scenario predicts the axion mass window to be (m_a in [2 times 10^{-8}, 10^{-3}],textrm{eV}). Conversely, a high-quality axion may be obtained instead in the post-inflationary scenario, with axion mass (m_a > rsim 0.01,textrm{eV}), and anomalon masses predicted below the (textrm{eV}) scale. We elaborate on anomalons’ cosmological production in the early universe, highlighting how measurements of (Delta N_textrm{eff}) could serve as a low-energy probe of the ultraviolet dynamics addressing the PQ quality problem.

我们探索了一类轴子模型,其中偶然的(textrm{U}(1)) pecceei - quinn (PQ)对称性自动从垂直(大统一)和水平(flavor)规范对称的相互作用中产生。我们详细研究了一个具体的patii - salam实现,旨在总结结论。我们证明了我们的特定模型对违反pq的操作者提供了高维的保护,并证明了该模型可以再现标准模型的风味结构。垂直-水平设置的一个显著特征是参数化光费米子的存在,被称为异常子,它被引入来抵消风味对称的规范异常。我们还确定了建立一个完全真实的模型的主要挑战,最值得注意的是在普朗克尺度之前测量耦合中的朗道极。对于所研究的特定模型,暴胀前pq破断情景预测轴子质量窗口为(m_a in [2 times 10^{-8}, 10^{-3}],textrm{eV})。相反,在暴胀后的情况下,可以获得高质量的轴子,轴子质量(m_a > rsim 0.01,textrm{eV}),异常质量预测低于(textrm{eV})尺度。我们详细阐述了异常在早期宇宙中的宇宙学产生,强调了(Delta N_textrm{eff})的测量如何作为解决PQ质量问题的紫外动力学的低能探针。
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引用次数: 0
Epicyclic frequencies around charged regular black hole: constraints using different quasars data 带电规则黑洞周围的周转频率:使用不同类星体数据的约束
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-05 DOI: 10.1140/epjc/s10052-025-15223-5
G. Mustafa, Faisal Javed, Sushant G. Ghosh, S. K. Maurya, Farruh Atamurotov

We examine the dynamics of test particles and epicyclic frequencies around a charged regular black hole, investigating how its mass M and charge q influence orbital motion, stability, and high-energy phenomena. Using an effective potential approach, we derive analytical expressions for the specific energy and angular momentum of particles in stable circular orbits, demonstrating that increasing q shifts the innermost stable circular orbits (ISCOs) inward compared to the Schwarzschild black hole. We compute the radial, vertical, and orbital oscillation frequencies, revealing significant deviations from standard black hole predictions, particularly in the 3:2 frequency ratio associated with high-frequency. Through Markov Chain Monte Carlo (MCMC) analysis of observational data from X-ray binaries (including H 1743-322 and GRS 1915+105), we constrain the charge parameter to (q/M sim 0.3)–0.4 at high confidence levels. Further, we study particle collisions near the horizon, finding that centre-of-mass energies can be enhanced by up to 40% for (q approx 0.6M), indicating observable signatures in high-energy astrophysical processes. Our results provide testable predictions for distinguishing charged regular black holes from classical singular black holes. This work establishes a framework for probing black hole structures in the strong-gravity regime, with implications for fundamental physics and quantum gravity.

我们研究了带电规则黑洞周围测试粒子的动力学和周转频率,研究了其质量M和电荷q如何影响轨道运动、稳定性和高能现象。利用有效势能方法,我们推导出稳定圆轨道上粒子的比能量和角动量的解析表达式,证明了与史瓦西黑洞相比,增加q会使最内层的稳定圆轨道(ISCOs)向内移动。我们计算了径向、垂直和轨道振荡频率,揭示了与标准黑洞预测的显著偏差,特别是与高频相关的3:2频率比。通过对x射线双星(包括h1743 -322和GRS 1915+105)观测数据的马尔可夫链蒙特卡罗(MCMC)分析,我们在高置信度下将电荷参数约束为(q/M sim 0.3) -0.4。此外,我们研究了视界附近的粒子碰撞,发现质心能量可以提高到40倍% for (q approx 0.6M), indicating observable signatures in high-energy astrophysical processes. Our results provide testable predictions for distinguishing charged regular black holes from classical singular black holes. This work establishes a framework for probing black hole structures in the strong-gravity regime, with implications for fundamental physics and quantum gravity.
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引用次数: 0
Static spherical vacuum solution to bumblebee gravity with time-like VEVs 静态球形真空解决方案,大黄蜂重力与时间一样的vev
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-04 DOI: 10.1140/epjc/s10052-025-15229-z
Hao Li, Jie Zhu

The static spherical vacuum solution in a bumblebee gravity model where the bumblebee field (B_mu ) has a one-component time-like vacuum expectation value (b_mu ) is studied. We show that in general curved space-time solutions are not allowed and only the Minkowski space-time exists. However, it is surprising that two non-trivial solutions can be obtained so long as a unique condition for the vacuum expectation (b^2equiv -b^mu b_mu =2/kappa ), where (kappa =8pi G), is satisfied. One of the solutions contains a naked singularity, while the other exhibits features analogous to a confining potential. We argue that naturally these solutions are not stable since quantum corrections would invalidate the likely numerical coincidence, unless there are some unknown fine-tuning mechanisms preventing any deviation from this condition. Nevertheless, the naked singularities and the photon sphere of these novel but peculiar solutions are discussed, and we show that the extremal Reissner-Nordström solution is a limit of one of our solutions.

研究了大黄蜂场(B_mu )具有单分量类时真空期望值(b_mu )的大黄蜂重力模型中的静态球形真空解。我们证明了在一般情况下弯曲时空解是不允许的,并且只有闵可夫斯基时空存在。然而,令人惊讶的是,只要满足真空期望(b^2equiv -b^mu b_mu =2/kappa ) ((kappa =8pi G))的唯一条件,就可以得到两个非平凡解。其中一个解决方案包含裸奇点,而另一个则表现出类似于限制势的特征。我们认为,这些解自然是不稳定的,因为量子修正会使可能的数值巧合失效,除非有一些未知的微调机制防止任何偏离这一条件。然而,我们讨论了这些新奇但奇特的解的裸奇点和光子球,并证明了Reissner-Nordström的极值解是其中一个解的极限。
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引用次数: 0
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The European Physical Journal C
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