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Black hole spectroscopy is a powerful tool to probe the Kerr nature of astrophysical compact objects and their environment. The observation of multiple ringdown modes in gravitational waveforms could soon lead to high-precision…

广义相对论与量子宇宙学 · 物理学 2021-10-27 Kyriakos Destounis , Rodrigo Panosso Macedo , Emanuele Berti , Vitor Cardoso , José Luis Jaramillo

We study the nonlinear stability of the Cauchy horizon in the interior of extremal Reissner-Nordstr\"om black holes under spherical symmetry. We consider the Einstein-Maxwell-Klein-Gordon system such that the charge of the scalar field is…

广义相对论与量子宇宙学 · 物理学 2019-05-15 Dejan Gajic , Jonathan Luk

This paper aims to explore a class of static stellar equilibrium configuration of relativistic charged spheres made of a charged perfect fluid. Solving the Einstein-Maxwell field equations, we consider a particularized metric potential,…

广义相对论与量子宇宙学 · 物理学 2021-05-11 J. Kumar , S. K. Maurya , A. K. Prasad , Ayan Banerjee

In this paper we present a 5-parametric family of static asymptotically flat solutions for the superposed gravitational and electromagnetic fields of two Reissner-Nordstr\"om sources with arbitrary parameters -- masses, charges and…

广义相对论与量子宇宙学 · 物理学 2016-11-15 G. A. Alekseev , V. A. Belinski

The purpose of this article is to prove that, under suitable constrains on the electrovacuum spacetime $M$, if $\Sigma\subset M$ is an embedded strictly stable minimal two-sphere which locally maximizes the charged Hawking mass, then there…

微分几何 · 数学 2022-04-01 Halyson Baltazar , Abdênago Barros , Rondinelle Batista

We build extended sources for the Reissner-Nordstr\"{o}m metric. Our models describe a neutral perfect fluid core bounded by a charged thin shell, and feature everywhere positive rest mass density and everywhere non-negative active…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Victor Varela

We prove the linear stability of subextremal Reissner-Nordstr\"om spacetimes as solutions to the Einstein-Maxwell equation. We make use of a novel representation of gauge-invariant quantities which satisfy a symmetric system of coupled wave…

广义相对论与量子宇宙学 · 物理学 2021-11-29 Elena Giorgi

This paper defines the photon surface conditions using Cartan scalars within an invariant spin frame, offering a comprehensive description of the local spacetime geometry. By employing this approach, we gain novel insights into the geometry…

广义相对论与量子宇宙学 · 物理学 2024-01-23 Dipanjan Dey , Alan A. Coley , Nicholas T. Layden

We study the matching of a general spherically symmetric spacetime with a Vaidya-Reissner-Nordstrom solution. To that end, we study the properties of spherically symmetric electromagnetic fields and develop the proper gravitational and…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Francesc Fayos , Jose M. M. Senovilla , Ramon Torres

We show a closed Bach-flat Riemannian manifold with a fixed positive constant scalar curvature has to be locally spherical if its Weyl and traceless Ricci tensors are small in the sense of either $L^\infty$ or $L^{\frac{n}{2}}$-norm.…

微分几何 · 数学 2017-04-24 Yi Fang , Wei Yuan

In this paper, we extend the study of the relationship between the photon sphere and the thermodynamic phase transition, especially the reentrant phase transition, to this black hole background. According to the number of the thermodynamic…

广义相对论与量子宇宙学 · 物理学 2019-12-24 Yu-Meng Xu , Hui-Min Wang , Yu-Xiao Liu , Shao-Wen Wei

A recently developed topological approach offers novel insights into photon spheres, which are fundamental to the formation of black hole shadows. In this study, we extend this topological analysis to higher-dimensional, static, spherically…

广义相对论与量子宇宙学 · 物理学 2025-10-28 Jun-Lei Chen , Shan-Ping Wu , Shao-Wen Wei

Recent studies have shown that quasinormal modes suffer from spectral instabilities, a frailty of black holes that leads to disproportional migration of their spectra in the complex plane when black-hole effective potentials are modified by…

广义相对论与量子宇宙学 · 物理学 2023-11-16 Aubin Courty , Kyriakos Destounis , Paolo Pani

Starting from Israel equations for the spherically symmetric thin shells we introduce the effective potential and show how it can be used in constructing, without further thorough investigation, the corresponding Carter-Penrose diagrams…

广义相对论与量子宇宙学 · 物理学 2015-06-12 V. A. Berezin , V. I. Dokuchaev

There exist Kruskal like coordinates for the Reissner-Nordstrom (RN) black hole spacetime which are regular at coordinate singularities. Non existence of such coordinates for the extreme RN black hole spacetime has already been shown. Also…

广义相对论与量子宇宙学 · 物理学 2011-12-01 Azad A. Siddiqui

The equations for the photon surface in spherical symmetry are worked out, starting from arXiv:gr-qc/0005050, in the most general dynamical setting. We show that the condition for a timelike hypersurface to be a photon surface can be…

广义相对论与量子宇宙学 · 物理学 2026-03-06 Roberto Giambò , Camilla Lucamarini

We obtain a purely local characterisation that singles out the Majumdar-Papapetrou class, the near-horizon Bertotti-Robinson geometry and the Reissner-Nordstr\"om exterior solution, together with its plane and hyperbolic counterparts, among…

广义相对论与量子宇宙学 · 物理学 2011-03-31 Guillermo A. González , Raül Vera

In this note, we prove mass-capacity inequalities for asymptotically flat manifolds whose boundary capacity potential satisfies an overdetermined problem, referred to as critical area-normalized capacitors. As a consequence, we obtain…

微分几何 · 数学 2025-01-24 Simon Raulot

The Reissner-Nordstr\"om black hole solution in a generic cosmological constant background in the the context of Rastall gravity is obtained. It is shown that the cosmological constant arises naturally from the consistency of the non-vacuum…

广义相对论与量子宇宙学 · 物理学 2017-12-05 Y. Heydarzade , H. Moradpour , F. Darabi

We describe the dynamics of a thin spherically symmetric gravitating shell in the Reissner-Nordstrom metric of the electrically charged black hole. The energy-momentum tensor of electrically neutral shell is modelled by the perfect fluid…

广义相对论与量子宇宙学 · 物理学 2010-10-25 V. I. Dokuchaev , S. V. Chernov