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In 4-dimensional General Relativity, there are several theorems restricting the topology of the event horizon of a black hole. In the stationary case, black holes must have a spherical horizon, while a toroidal spatial topology is allowed…

General Relativity and Quantum Cosmology · Physics 2012-04-09 Cosimo Bambi , Leonardo Modesto

The generalized second law states the total entropy of any closed system as the universe cannot decrease if we include black hole entropy. From the point of view of an asymptotic observer, a black hole can be described at late time as an…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Antoine Rignon-Bret

Black hole evaporation is investigated in a (1+1)-dimensional model of quantum gravity. Quantum corrections to the black hole entropy are computed, and the fine-grained entropy of the Hawking radiation is studied. A generalized second law…

High Energy Physics - Theory · Physics 2009-09-25 Thomas M. Fiola , John Preskill , Andrew Strominger , Sandip P. Trivedi

Black holes have their own thermodynamics including notions of entropy and temperature and versions of the three laws. After a light introduction to black hole physics, I recollect how black hole thermodynamics evolved in the 1970's, while…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

I argue that black hole entropy counts only those states of a black hole that can influence the outside, and attempt (with only partial success) to defend this claim against various objections, all but one coming from string theory.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ted Jacobson

Regarding the volume as independent thermodynamic variable we point out that black hole horizons can hide positive heat capacity and specific heat. Such horizons are mechanically marginal, but thermally stable. In the absence of a canonical…

General Relativity and Quantum Cosmology · Physics 2020-02-06 Tamás S. Biró , Viktor G. Czinner , Hideo Iguchi , Péter Ván

The present equilibrium formulation of thermodynamics for black holes has several drawbacks, such as assuming the same temperature for black hole and heat bath. Recently the author formulated non-equilibrium thermodynamics for glassy…

Statistical Mechanics · Physics 2009-10-31 Th. M. Nieuwenhuizen

In Lorentz violating theories of gravitation with a preferred foliation a notion of black hole is still possible, despite the presence of infinitely fast propagating modes. Such event horizons are known as universal horizons. Their…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Stefano Liberati , Costantino Pacilio

Quite recently, some new mathematical approaches to black holes have appeared in the literature. They do not rely on the classical concept of event horizon -- which is very global, but on the local concept of hypersurfaces foliated by…

Astrophysics · Physics 2009-06-23 Eric Gourgoulhon , Jose Luis Jaramillo

If simple entropy in the Bekenstein-Hawking area law for a Schwarzschild black hole is replaced with 'negative' quantum conditional entropy, which quantifies quantum entanglement, of positive-energy particles of the black hole relative to…

High Energy Physics - Theory · Physics 2025-04-04 Koji Azuma , Go Kato

Basic properties of black holes are explained in terms of trapping horizons. It is shown that matter and information will escape from an evaporating black hole. A general scenario is outlined whereby a black hole evaporates completely…

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

Regular black holes, which avoid the essential center singularities, can be constructed through various methods, including nonlinear electrodynamics and quantum corrections. Recently, it was shown that via an infinite tower of…

General Relativity and Quantum Cosmology · Physics 2024-12-10 Sheng-Wei Wang , Shan-Ping Wu , Shao-Wen Wei

Hamiltonian description of gravitational field contained in a spacetime region with boundary $S$ being a null-like hypersurface (a wave front) is discussed. Complete generating formula for the Hamiltonian dynamics (with no surface integrals…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. Czuchry , J. Jezierski , J. Kijowski

We review the classical thermodynamics and the greybody factors of general (rotating) non-extreme black holes and discuss universal features of their near-horizon geometry. We motivate a microscopic interpretation of general black holes…

High Energy Physics - Theory · Physics 2009-09-25 Mirjam Cvetic , Finn Larsen

We re-examine Hawking radiation for a nonrotating (2+1)-dimensional BTZ black hole and evaluate the transmission probability of tunneling through the barrier of the event horizon employing the standard method of WKB approximation. Our…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Bijan Bagchi , Sauvik Sen

The horizon structure and thermodynamics of hairy spherically symmetric black holes generated by the gravitational decoupling method are carefully investigated. The temperature and heat capacity of the black hole is determined, as well as…

General Relativity and Quantum Cosmology · Physics 2022-07-11 Rogerio T. Cavalcanti , Kelvin dos S. Alves , Julio M. Hoff da Silva

We study the thermodynamics of G\"{o}del-type rotating charged black holes in five-dimensional minimal supergravity. These black holes exhibit some peculiar features such as the presence of closed time-like curves and the absence of…

High Energy Physics - Theory · Physics 2011-02-22 Shuang-Qing Wu , Jun-Jin Peng

We define different notions of black holes, event horizons and Killing horizons for a general time-oriented manifold $(M,g)$ extending previous notions but without the assumption of asymptotical flatness. The notions of 'horizon' are always…

Mathematical Physics · Physics 2015-08-14 Olaf Müller

In this paper, we try to construct black hole thermodynamics based on the fact that, the formation and evaporation of a black hole can be described by quantum unitary evolutions. First, we show that the Bekenstein-Hawking entropy $S_{BH}$…

High Energy Physics - Theory · Physics 2015-10-23 Yu-Lei Feng , Yi-Xin Chen

The usual discussions about black hole dynamics involve analogies with laws of thermodynamics especially in connection with black hole entropy and the associated holographic principle. We explore complementary aspects involving…

General Physics · Physics 2011-05-23 C. Sivaram