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General relativity predicts its own demise at singularities, but also appears to conveniently shield itself from the catastrophic consequences of such singularities, making them safe. For instance, if strong cosmic censorship were…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Julio Arrechea , Carlos Barceló , Valentin Boyanov , Luis J. Garay

Gravitational collapse singularities are undesirable, yet inevitable to a large extent in General Relativity. When matter satisfying null energy condition collapses to the extent a closed trapped surface is formed, a singularity is…

General Relativity and Quantum Cosmology · Physics 2020-03-09 Karthik H. Shankar

The spectrum of known black-hole solutions to the stationary Einstein equations has been steadily increasing, sometimes in unexpected ways. In particular, it has turned out that not all black-hole-equilibrium configurations are…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Piotr T. Chruściel , João Lopes Costa , Markus Heusler

The Einstein's equations with a negative cosmological constant admit solutions which are asymptotically anti-de Sitter space. Matter fields in anti-de Sitter space can be in stable equilibrium even if the potential energy is unbounded from…

General Relativity and Quantum Cosmology · Physics 2009-10-30 L. Vanzo

We derive universal properties of the near-horizon geometry of spherically symmetric black holes that follow from the observability of a regular apparent horizon. Only two types of solutions are admissible. After reviewing their properties…

General Relativity and Quantum Cosmology · Physics 2021-04-01 Sebastian Murk , Daniel R. Terno

We consider unitary and weakly coupled theories of gravity that extend Einstein gravity and reduce to it asymptotically at large distances. Our discussion is restricted to such theories that, similarly to Einstein gravity, contain black…

High Energy Physics - Theory · Physics 2014-11-20 Ram Brustein , A. J. M. Medved

In this work we have studied the singular behaviour of gravitational theories with non symmetric connections. For this purpose we introduce a new criteria for the appearance of singularities based on the existence of black/white hole…

General Relativity and Quantum Cosmology · Physics 2017-04-12 J. A. R. Cembranos , J. Gigante Valcarcel , F. J. Maldonado Torralba

We study the spacelike Kasner singularity of spherically-symmetric, static and asymptotically flat black holes in Einstein gravity minimally coupled to a massless scalar with a suitable self-interacting scalar potential. We focus on how the…

General Relativity and Quantum Cosmology · Physics 2026-02-27 Ze-Xuan Xiong , H. Lu

We present here an overview of our basic understanding and recent developments on spacetime singularities in the Einstein theory of gravity. Several issues related to physical significance and implications of singularities are discussed.…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Pankaj S. Joshi

Basis and limitations of singularity theorems for Gravity are examined. As singularity is a critical situation in course of time, study of time paths, in full generality of Equivalence principle, provides two mechanisms to prevent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. H. Mariwalla

In the framework of Einstein's gravity coupled to nonlinear electromagnetic fields, we study gravito-electromagnetic perturbations of magnetic regular black holes. The master equations of perturbations are obtained through Chandrasekhar's…

General Relativity and Quantum Cosmology · Physics 2022-10-11 Kun Meng , Shao-Jun Zhang

The singularity theorem by Hawking and Penrose qualifies Schwarzschild black-holes as geodesic incomplete space-times. Albeit this is a mathematically rigorous statement, it requires an operational framework that allows to probe the…

High Energy Physics - Theory · Physics 2017-04-04 Stefan Hofmann , Marc Schneider

Palatini (or metric-affine) theories of gravity are characterized by having {\it a priori} independent metric and affine structures. The theories built in this framework have their field equations obtained as independent variations of the…

General Relativity and Quantum Cosmology · Physics 2022-09-13 Gonzalo J. Olmo , Diego Rubiera-Garcia

The construction of black hole spacetimes that are regular (singularity-free) is plagued by the "mass inflation" instability, a classical perturbation instability induced by the surface gravity at the inner horizon and characterized by…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Tyler McMaken

We present the geodesical completion of the Schwarzschild black hole in four dimensions which covers the entire space in (u,v) Kruskal-Szekeres coordinates, including the spacetime behind the black and white hole singularities. The…

High Energy Physics - Theory · Physics 2015-10-13 Ignacio J. Araya , Itzhak Bars , Albin James

The cosmic censorship conjecture posits that singularities forming to the future of a regular Cauchy surface are hidden by an event horizon. Consequently any topological structures will ultimately collapse within the horizon of a set of…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Alexander R. H. Smith , Robert B. Mann

The influential theorems of Hawking and Penrose demonstrate that spacetime singularities are ubiquitous features of general relativity, Einstein's theory of gravity. The utility of classical general relativity in describing gravitational…

General Relativity and Quantum Cosmology · Physics 2009-01-09 Shahar Hod

Black holes are among the most extreme objects that can be found in the Universe and an ideal laboratory for testing fundamental physics. This article will briefly review the basic properties of black holes as expected from general…

General Relativity and Quantum Cosmology · Physics 2018-05-07 Cosimo Bambi

On the basis of two requirements: the avoidance of the curvature singularity and the Maxwell theory as the weak field limit of the nonlinear electrodynamics, we find two restricted conditions on the metric function of $(2+1)$-dimensional…

General Relativity and Quantum Cosmology · Physics 2017-09-28 Yun He , Meng-Sen Ma

We consider self-interacting scalar fields coupled to gravity. Two classes of exact solutions to Einstein's equations are obtained: the first class corresponds to the minimal coupling, the second one to the conformal coupling. One of the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Oleg A. Fonarev