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Black holes in general relativity are characterized by their trapping horizon, a one-way membrane that can be crossed only inwards. The existence of trapping horizons in astrophysical black holes can be tested observationally using a…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Raúl Carballo-Rubio , Pawan Kumar , Wenbin Lu

We prove that if in a spacetime endowed with a merely continuous metric, a complete partial Cauchy hypersurface has nonempty Cauchy horizon, then the horizon is caused by the presence of almost closed causal curves behind it or by the…

General Relativity and Quantum Cosmology · Physics 2022-06-14 Martin Lesourd , Ettore Minguzzi

We review recent results regarding entanglement in quantum fields in cosmological spacetimes and related phenomena in flat spacetime such as the Unruh effect. We being with a summary of important results about field entanglement and the…

Quantum Physics · Physics 2014-10-29 Eduardo Martin-Martinez , Nicolas C. Menicucci

We introduce a new family of horizon-penetrating coordinate systems for the Schwarzschild black hole geometry featuring time coordinates that are Cauchy temporal functions for which the level sets are smooth, asymptotically flat, spacelike…

General Relativity and Quantum Cosmology · Physics 2025-12-18 Christian Röken

If cosmological constant is positive, a black hole is naturally described by the Schwarzschild-de Sitter solution with two horizons. We use the global method to extract the topological information and the selection rule for the…

High Energy Physics - Theory · Physics 2007-05-23 Feng-Li Lin

We investigate here the particle acceleration by naked singularities to arbitrarily high center of mass energies. Recently it has been suggested that black holes could be used as particle accelerators to probe the Planck scale physics. We…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Mandar Patil , Pankaj S. Joshi

Strong cosmic censorship conjecture is central to the deterministic nature of general relativity, since it asserts that given any generic initial data on a spacelike hypersurface, the future can be uniquely predicted. However, recently it…

General Relativity and Quantum Cosmology · Physics 2020-09-22 Mostafizur Rahman , Soumodeep Mitra , Sumanta Chakraborty

In our previous work [Van de Moortel, The breakdown of weak null singularities, Duke Mathematical Journal 172 (15), 2957-3012, 2023], we showed that dynamical black holes formed in charged spherical collapse generically feature both a null…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Maxime Van de Moortel

A class of exact solutions of the field equations with higher derivative terms is presented when the matter field is a pressureless null fluid plus a Maxwellian static electric component. It is found that the stable solutions are black…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alfio Bonanno

A simple, geometrical construction is given for three-dimensional spacetimes with negative cosmological constant that contain two particles colliding head-on. Depending on parameters like particle masses and distance, the combined geometry…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Dieter Brill , Puneet Khetarpal , Vijay Kaul

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…

General Relativity and Quantum Cosmology · Physics 2019-05-15 Dejan Gajic , Jonathan Luk

We prove that a large class of smooth solutions $\psi$ to the linear wave equation $\Box_g\psi=0$ on subextremal rotating Kerr spacetimes which are regular and decaying along the event horizon become singular at the Cauchy horizon. More…

General Relativity and Quantum Cosmology · Physics 2016-07-01 Jonathan Luk , Jan Sbierski

Canonical quantization of spherically symmetric initial data which is appropriate to classical interior black hole solutions in four dimensions is carried out and solved exactly without gauge fixing the remaining kinematic Gauss Law…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Chung-Hsien Chou , Chopin Soo , Hoi-Lai Yu

We analyze scenarios of particle collisions in the metric of a nonextremal black hole that can potentially lead to ultrahigh energy $E_{c.m.}$ in their centre of mass frame. Particle 1 comes from infinity to the black hole horizon while…

General Relativity and Quantum Cosmology · Physics 2018-04-04 O. B. Zaslavskii

In this paper, we investigate the motion of spinning particles around a covariant quantum-corrected black hole without a Cauchy horizon within the framework of effective quantum gravity, and examine the influence of quantum gravitational…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Jiawei Chen , Jinsong Yang

It has often been suggested (especially by Carlip) that spacetime symmetries in the neighborhood of a black hole horizon may be relevant to a statistical understanding of the Bekenstein-Hawking entropy. A prime candidate for this type of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. J. M. Medved

The quantum Oppenheimer-Snyder model for higher-dimensional spacetimes is studied. The higher-dimensional quantum-corrected Schwarzschild black hole is obtained by the junction condition. It turns out that quantum bounces always occur in…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Zijian Shi , Xiangdong Zhang , Yongge Ma

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 examine whether the Schwarzschild black hole can emerge as the continuous end state of gravitational collapse from a non-singular configuration. Employing a time dependent extension of the regular Schwarzschild metric, we track the…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Jorge Ovalle , Roberto Casadio , Alexander Kamenshchik

As it is well known, the Minkowski vacuum appears thermally populated to a quantum mechanical detector on a uniformly accelerating course. We investigate how this thermal radiation may contribute to the classical nature of the detector's…

General Relativity and Quantum Cosmology · Physics 2008-02-03 J. - G. Demers