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In general, a finite metric function at the center of a black hole describes a non-singular spacetime but an infinite metric at the center gives a singular spacetime, where the former is associated with convergent Ricci and Kretschmann…

General Relativity and Quantum Cosmology · Physics 2022-09-19 Yan-Gang Miao , Hao Yang

A basic problem in gravitational physics is the resolution of spacetime singularities where general relativity breaks down. The simplest such singularities are conical singularities arising from orbifold identifications of flat space, and…

High Energy Physics - Theory · Physics 2007-05-23 Eva Silverstein

We report the existence of unstable, s-wave modes, for black strings in Gauss-Bonnet theory (which is quadratic in the curvature) in seven dimensions. This theory admits analytic uniform black strings that in the transverse section are…

High Energy Physics - Theory · Physics 2015-05-08 Alex Giacomini , Julio Oliva , Aldo Vera

The first-order semiclassical Einstein field equations are solved in the interior of the Schwarzschild-Tangherlini black holes. The source term is taken to be the stress-energy tensor of the quantized massive scalar field with arbitrary…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Jerzy Matyjasek , Pawel Sadurski

We address the question of the uniqueness of the Schwarzschild black hole by considering the following question: How many meaningful solutions of the Einstein equations exist that agree with the Schwarzschild solution (with a fixed mass m)…

High Energy Physics - Theory · Physics 2016-11-15 Matthias Blau , Martin O'Loughlin

We consider nonuniform black strings inside their event horizon. We present numerical evidence, that the singularity touches the horizon as the horizon topology changing transition is reached.

High Energy Physics - Theory · Physics 2008-11-26 Burkhard Kleihaus , Jutta Kunz

The field equations of a special class of tetrad theory of gravitation have been applied to tetrad space having three unknown functions of radial coordinate. The spherically symmetric vacuum stress-energy momentum tensor with one assumption…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Gamal G. L. Nashed

We study photon geodesics in topological solitons that have the same asymptotic properties as Schwarzschild black holes. These are coherent states in string theory corresponding to pure deformations of spacetime through the dynamics of…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Pierre Heidmann , Ibrahima Bah , Emanuele Berti

We examine the conjecture for the complete monotonicity of certain curvature invariants for quantum black holes. In this note, we study a class of quantum regular black holes that are static, spherically symmetric, and characterized only by…

High Energy Physics - Theory · Physics 2025-09-30 A. Almasi , A. Moradpouri , M. Shahbazi

The motion of superluminal particles in the gravitational field of a non-rotating black hole is analyzed. The relativistic Hamilton-Jacobi equation is solved for particles with imaginary rest mass. It is shown that there are no stable…

General Relativity and Quantum Cosmology · Physics 2013-01-24 V. M. Lipunov

We study the nature of the inner Cauchy horizon of a Reissner-Nordstr\"om black hole in a quantum context by means of the horizon wave-function obtained from modelling the electrically charged source as a Gaussian wave-function. Our main…

General Relativity and Quantum Cosmology · Physics 2015-04-29 Roberto Casadio , Octavian Micu , Dejan Stojkovic

The goal of this short note is to provide a simpler derivation of the effective potential surrounding a Schwarzschild black hole for spherically symmetric perturbations in the framework of torsion bigravity than the one presented in [V.…

General Relativity and Quantum Cosmology · Physics 2021-11-03 Philippe Spindel

The holographic conjecture for black holes localized on a 3-brane in Randall-Sundrum braneworld models RS2 predicts the existence of a classical 5D time dependent solution dual to a 4D evaporating black hole. After briefly reviewing recent…

High Energy Physics - Theory · Physics 2008-11-26 Alessandro Fabbri , Giovanni Paolo Procopio

This paper reviews the role of black holes in the context of fundamental physics. After recalling some basic results stemming from Planckian string calculations, I present three examples of how stringy effects can improve the curvature…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Piero Nicolini

An analysis of a spherically symmetric braneworld configuration is performed when the intrinsic curvature scalar is included in the bulk action. In the case when the electric part of the Weyl tensor is zero, all the exterior solutions are…

High Energy Physics - Theory · Physics 2010-11-19 G. Kofinas , E. Papantonopoulos , V. Zamarias

We investigate the properties of a class of near-extreme static black hole solutions called naked black holes. These black holes, which occur in string theory, have small curvature invariants but large tidal forces outside their event…

High Energy Physics - Theory · Physics 2009-10-30 Gary T. Horowitz , Simon F. Ross

Asymptotic symmetries are known to constrain the infrared behaviour of scattering processes in asymptotically flat spacetimes. By the same token, one expects symmetries of the black hole horizon to constrain near-horizon gravitational…

High Energy Physics - Theory · Physics 2025-01-06 Ankit Aggarwal , Nava Gaddam

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

We study black hole solutions in general relativity coupled to a unit timelike vector field dubbed the "aether". To be causally isolated a black hole interior must trap matter fields as well as all aether and metric modes. The theory…

General Relativity and Quantum Cosmology · Physics 2010-03-30 Christopher Eling , Ted Jacobson

Higher dimensional Einstein gravity in vacuum admits static black hole solutions with an Einstein manifold of non constant curvature as a horizon. This gives a much richer family of static black holes than in four dimensional GR. However,…

High Energy Physics - Theory · Physics 2009-11-11 Gustavo Dotti , Reinaldo J. Gleiser
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