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Related papers: Is the Schwarzschild black hole really stable?

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We derive analytically the amplitude of the quadratic quasi-normal mode generated in the ringdown stage of the gravitational waveform produced by the ultra-relativistic head-on collision of two non-spinning Schwarzschild black holes.…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Alex Kehagias , Davide Perrone , Antonio Riotto

We study a quantum-corrected Schwarzschild black hole proposed recently in Loop Quantum Gravity. Prompted by the fact that corrections to the innermost stable circular orbit of Schwarzschild diverge, we investigate timelike and null radial…

General Relativity and Quantum Cosmology · Physics 2020-08-04 Valerio Faraoni , Andrea Giusti

The stability and other physical properties of a class of regular black holes, quasiblack holes, and other electrically charged compact objects are investigated in the present work. The compact objects are obtained by solving the…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Angel D. D. Masa , Enesson S. de Oliveira , Vilson T. Zanchin

We reformulate the theory of Schwarzschild black hole perturbations in terms of the metric perturbation in the Lorenz gauge. In this formulation, each tensor-harmonic mode of the perturbation is constructed algebraically from 10 scalar…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Leor Barack , Carlos O. Lousto

In this paper we calculate charge fluctuations of a Schwarzschild black-hole of mass $M$ confined within a perfectly reflecting cavity of radius R in thermal equilibrium with various species of radiation and fermions . Charge conservation…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Marcelo Schiffer

The quasi-normal mode (QNM) spectrum of black holes is unstable under small perturbation of the potential and has observational consequences in time signals. Such signals might be experimentally difficult to observe and probing this…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Theo Torres

The squashed Kaluza-Klien (KK) black holes differ from the Schwarzschild black holes with asymptotic flatness or the black strings even at energies for which the KK modes are not excited yet, so that squashed KK black holes open a window in…

High Energy Physics - Theory · Physics 2009-11-13 Hideki Ishihara , Masashi Kimura , Roman A. Konoplya , Keiju Murata , Jiro Soda , Alexander Zhidenko

We envisage a black hole perturbed by a force-free magnetic field (FFMF) outside and attempt to determine its structure. We suppose the metric that describes this black hole is of the static spherical type, that is Schwarzschild, and the…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Haidar Sheikhahmadi

The black hole scalarization in a special Einstein-scalar-Gauss-Bonnet (EsGB) gravity has been widely investigated in recent years. Especially, the spontaneous scalarization of scalar-free black hole in de-Sitter (dS) spacetime possesses…

General Relativity and Quantum Cosmology · Physics 2022-10-07 Zhen-Hao Yang , Guoyang Fu , Xiao-Mei Kuang , Jian-Pin Wu

We study the emergence of string instabilities in $D$ - dimensional black hole spacetimes (Schwarzschild and Reissner - Nordstr\o m), and De Sitter space (in static coordinates to allow a better comparison with the black hole case). We…

General Relativity and Quantum Cosmology · Physics 2009-10-22 C. O. Lousto , N. Sánchez

The deep reason why the equations describing axial and polar perturbations of Schwarzschild black holes have the same spectrum is far from trivial. In this article, we revisit the original proof and try to make it clearer. Still focusing on…

General Relativity and Quantum Cosmology · Physics 2020-09-09 Flora Moulin , Aurélien Barrau

We show a stability result for the Schwarzschild singularity (inside the black hole region) for the Einstein vacuum equations. The result is proven in the class of polarized axial symmetry, under perturbations of the Schwarzschild data…

Analysis of PDEs · Mathematics 2020-05-07 Spyros Alexakis , Grigorios Fournodavlos

The aim of this work is to improve understanding of the resonant spectra of black holes under perturbations arising from e.g. compact objects or accretion disks in their vicinity. It is known that adding a weak perturbation to the radial…

General Relativity and Quantum Cosmology · Physics 2026-01-09 T. Torres , S. R. Dolan

Recently, various authors have proposed that the first ultraviolet effect on the gravitational collapse of massive stars to black holes is the transition between a black-hole geometry and a white-hole geometry, though their proposals are…

General Relativity and Quantum Cosmology · Physics 2016-01-28 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

Regular black holes are generically unstable because of the classical phenomenon that goes by the name of "mass inflation" which destabilizes the inner horizon. In a recent article, [Phys.Rev.D~107~(2023)~2,~024005], it is argued that…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Costantino Pacilio , Matt Visser

We consider the effect of the \emph{Varying Speed of Light} theory on non-rotating black holes. We show that in any varying-$c$ theory, the Schwarzschild solution is neither static nor stationary. For a no-charged black hole, the…

Astrophysics · Physics 2008-11-26 H. Shojaie , M. Farhoudi

We investigate the stability of a family of spherically symmetric static solutions in vacuum Brans-Dicke theory (with $\omega=0$) recently described by van Putten. Using linear perturbation theory, we find one exponentially growing mode for…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Matthew W. Choptuik , Eric W. Hirschmann , Steven Liebling

We analyze the tensor mode perturbations of static, spherically symmetric solutions of the Einstein equations with a quadratic Gauss-Bonnet term in dimension $D > 4$. We show that the evolution equations for this type of perturbations can…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gustavo Dotti , Reinaldo J. Gleiser

We consider scattering and capture of circular cosmic strings by a Schwarzschild black hole. Although being a priori a very simple axially symmetric two-body problem, it shows all the features of chaotic scattering. In particular, it…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Andrei V. Frolov , Arne L. Larsen

We study the stability of standing shock waves in advection-dominated accretion flows into a Schwarzschild black hole by 2D general relativistic hydrodynamic simulations as well as linear analysis in the equatorial plane. We demonstrate…

Astrophysics · Physics 2009-11-13 Hiroki Nagakura , Shoichi Yamada