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A brief reference to the two Schwarzschild solutions and what Petrov had to say about them is given. Comments on how the Schwarzschild vacuum solution describes a black hole are also provided. Then we compare the properties, differences and…

General Relativity and Quantum Cosmology · Physics 2012-11-09 José P. S. Lemos

In this paper, we first show that the definition of the universal horizons studied recently in the khrononmetric theory of gravity can be straightforwardly generalized to other theories that violate the Lorentz symmetry, by simply…

General Relativity and Quantum Cosmology · Physics 2015-01-05 Kai Lin , Elcio Abdalla , Rong-Gen Cai , Anzhong Wang

There are two mathematical relativity frameworks generalizing the black hole theory: the theory of isolated horizons (IH) and the theory of near horizon geometries (NHG). We outline here and discuss the derivation of the NHG from the theory…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Jerzy Lewandowski , Adam Szereszewski , Piotr Waluk

We study the properties of black holes and naked singularities by considering stationary observers and light surfaces in Kerr spacetimes. We reconsider the notion of Killing horizons from a special perspective by exploring the entire family…

General Relativity and Quantum Cosmology · Physics 2019-03-27 D. Pugliese , H. Quevedo

In general relativity, nonsingular black holes contain (at least) a Cauchy horizon, a null hypersurface beyond which determinism breaks down. Even though the strong cosmic censorship conjecture establishes the impossibility of extending…

General Relativity and Quantum Cosmology · Physics 2023-05-05 Jorge Ovalle

We discuss and compare definitions of a black hole based on the existence of event and apparent horizons. In this connection we present a non-singular model of a black hole with a closed apparent horizon and discuss its properties. We…

High Energy Physics - Theory · Physics 2014-11-26 Valeri P. Frolov

In Class. Quantum Grav. 35 (2018) 155015 we have introduced the notion of "Multiple Killing Horizon" and analyzed some of its general properties. Multiple Killing Horizons are Killing horizons for two or more linearly independent Killing…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Marc Mars , Tim-Torben Paetz , José M. M. Senovilla

The event horizon of a black hole is arguably the most dramatic manifestation of the fact that in General Relativity, causal structure is dynamical and spacetimes can be separated into distinct regions by causal boundaries. Causal set…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Astrid Eichhorn , Pedro Gamito , Nawder Stokes

We consider universal properties that arise from a local geometric structure of a Killing horizon. We first introduce a non-perturbative definition of such a local geometric structure, which we call an asymptotic Killing horizon. It is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jun-ichirou Koga

There are many logically and computationally distinct characterizations of the surface gravity of a horizon, just as there are many logically rather distinct notions of horizon. Fortunately, in standard general relativity, for stationary…

General Relativity and Quantum Cosmology · Physics 2013-06-18 Bethan Cropp , Stefano Liberati , Matt Visser

The concept of transparent and opaque horizons is defined. One example of opaqueness is the presence of a firewall. Two apparently contradictory statements are reconciled: The overwhelming number of black hole states have opaque horizons;…

High Energy Physics - Theory · Physics 2016-12-21 Leonard Susskind

In the de Sitter-invariant approach to gravitation, all solutions to the gravitational field equations are spacetimes that reduce locally to de Sitter. Consequently, besides including an event horizon, the de Sitter-invariant black hole…

General Relativity and Quantum Cosmology · Physics 2025-09-10 D. F. López , S. Abarghouei Nejad , José G. Pereira

This is a review of current black-hole theory, concentrating on local, dynamical aspects.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean A. Hayward

Classically, black holes are compact objects with perfect semi-permeable horizons: Anything may enter, nothing may leave. We consider an axiomatic approach that applies to any black hole type, including arbitrarily near-extremal black…

Quantum Physics · Physics 2013-11-07 Samuel L. Braunstein , Stefano Pirandola

For arbitrary static space-times, it is shown that an equilibrium between a Killing horizon and matter is only possible for some discrete values of the parameter $w = p_1/\rho$, where $\rho$ is the density and $p_1$ is pressure in the…

General Relativity and Quantum Cosmology · Physics 2010-04-14 K. A. Bronnikov , O. B. Zaslavskii

This is a review of current theory of black-hole dynamics, concentrating on the framework in terms of trapping horizons. Summaries are given of the history, the classical theory of black holes, the defining ideas of dynamical black holes,…

General Relativity and Quantum Cosmology · Physics 2009-02-28 Sean A. Hayward

Objects that are on the verge of being extremal black holes but actually are distinct in many ways are called quasi-black holes. Quasi-black holes are defined here and treated in a unified way through the displaying of their properties. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 José P. S. Lemos , Oleg B. Zaslavskii

Black holes are defined as a region in spacetime where gravity is so strong that particles and electromagnetic radiation cannot escape. According to their mass, they are classified into three types: stellar-mass black holes,…

Astrophysics of Galaxies · Physics 2023-03-07 M. Mezcua

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

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