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Constraints on the geometries of static spherically symmetric black holes are obtained by requiring that the spacetime curvature be analytic at the event horizon. Further constraints are obtained by requiring that the semiclassical trace…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Paul R. Anderson , Courtney D. Mull

The thermodynamic inconsistency observed in regular black holes is resolved through the framework of reduced thermodynamic phase spaces. We demonstrate that regular black holes are essentially induced from singular black holes by adding an…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Meng-Sen Ma , Huai-Fan Li , Jian-Hua Shi

A series of tantalizing results led to the black hole uniqueness conjecture: isolated, realistic black holes should settle down to states characterized by their spin, mass and charge. I argue that generically real black holes will also…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Adam D. Helfer

The notion of the black hole singularity and the proof of the singularity theorem were considered great successes in classical general relativity. Singularities had presented deep puzzles to physicists. Conceptual challenges were set up by…

General Relativity and Quantum Cosmology · Physics 2017-03-13 Yanbin Deng , Gerald Cleaver

We study the quantization of spherically symmetric vacuum spacetimes within loop quantum gravity. In particular, we give additional details about our previous work in which we showed that one could complete the quantization the model and…

General Relativity and Quantum Cosmology · Physics 2016-12-20 Rodolfo Gambini , Javier Olmedo , Jorge Pullin

We reexamine the focusing effect crucial to the theorems that predict the emergence of spacetime singularities and various results in the general theory of black holes in general relativity. Our investigation incorporates the fully…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Spiros Cotsakis

Null and timelike geodesics around a 2+1 black hole are determined. Complete geodesics of both types exist in the rotating black-hole background, but not in the spinless case. Upper and lower bounds for the radial size of the orbits are…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Norman Cruz , Cristián Martínez , Leda Peña

Two spatial regions $B$ and $R$ are hyperentangled if the generalized entropy satisfies $S_{\text{gen}}^{B\cup R}<S_{\text{gen}}^R$. If in addition all future (or all past) directed inward null shape deformations of $B$ decrease…

High Energy Physics - Theory · Physics 2023-03-30 Raphael Bousso , Arvin Shahbazi-Moghaddam

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

We construct regular black holes with anti-de Sitter asymptotics in theories incorporating infinite towers of higher-order curvature corrections in any dimension $D \ge 5$. We find that regular black branes are generically inner-extremal,…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Robie A. Hennigar , David Kubizňák , Sebastian Murk , Ioannis Soranidis

We consider the fundamental issues which dominate the question about the existence or non-existence of black hole horizons and singularities from both of the theoretical and observational points of view, and discuss some of the ways that…

General Relativity and Quantum Cosmology · Physics 2011-12-01 C. Corda , D. Leiter , H. J. Mosquera Cuesta , S. Robertson , R. E. Schild

In addition to curvature singularities, electrovacuum black holes in general relativity exhibit thermodynamic singularities. These so-called Davies' points occur at nonextremal values of charge and spin where the heat capacity diverges and…

General Relativity and Quantum Cosmology · Physics 2025-08-18 Arthur G. Suvorov , Pedro Bargueño

I review elements of the foundations of black-hole theory with attention to problematic issues, and describe some techniques which either seem to help with the difficulties or at least investigate their scope. The definition of black holes…

General Relativity and Quantum Cosmology · Physics 2011-05-11 Adam D. Helfer

We report on some advances made in the problem of singularities in general relativity. First is introduced the singular semi-Riemannian geometry for metrics which can change their signature (in particular be degenerate). The standard…

Differential Geometry · Mathematics 2013-09-20 Ovidiu Cristinel Stoica

We explore the quantum nature of black holes by introducing an effective framework that takes into account deviations from the classical results. The approach is based on introducing quantum corrections to the classical Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Emanuele Binetti , Manuel Del Piano , Stefan Hohenegger , Franco Pezzella , Francesco Sannino

Black hole solutions in general relativity are simple. The frequency spectrum of linear perturbations around these solutions (i.e., the quasinormal modes) is also simple, and therefore it is a prime target for fundamental tests of black…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Vitor Cardoso , Masashi Kimura , Andrea Maselli , Emanuele Berti , Caio F. B. Macedo , Ryan McManus

The main aim of this thesis is to study the properties of trapped surfaces in spacetimes with symmetries and their possible relation with the theory of black holes. We will concetrate specially on one aspect of this possible equivalence,…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Alberto Carrasco Ferreira

In this article, we examine the possibility that there exist special scalar-tensor theories of gravity with completely nonsingular FRW solutions. Our investigation in fact shows that while most probes living in such a Universe never see the…

High Energy Physics - Theory · Physics 2009-09-15 Nemanja Kaloper , Keith A. Olive

The study of higher-dimensional black holes is a subject which has recently attracted a vast interest. Perhaps one of the most surprising discoveries is a realization that the properties of higher-dimensional black holes with the spherical…

General Relativity and Quantum Cosmology · Physics 2018-05-24 Valeri P. Frolov , Pavel Krtous , David Kubiznak

We study the classical and quantum theory of spherically symmetric spacetimes with scalar field coupling in general relativity. We utilise the canonical formalism of geometrodynamics adapted to the Painleve-Gullstrand coordinates, and…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Viqar Husain , Oliver Winkler