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It is shown that the Einstein-Hilbert action can be constructed by minimizing free energy. The entropy used to determine the free energy is determined on the horizon of a black hole. Some further considerations with regard to…

General Relativity and Quantum Cosmology · Physics 2014-06-12 Paul Bracken

We investigate whether black holes can be defined without using event horizons. In particular we focus on the thermodynamic properties of event horizons and the alternative, locally defined horizons. We discuss the assumptions and…

High Energy Physics - Theory · Physics 2009-07-22 Alex B. Nielsen

In classical general relativity described by Einstein-Hilbert gravity, black holes behave as thermodynamic objects. In particular, the laws of black hole mechanics can be interpreted as laws of thermodynamics. The first law of black hole…

High Energy Physics - Theory · Physics 2017-04-05 Sayantani Bhattacharyya , Felix M. Haehl , Nilay Kundu , R. Loganayagam , Mukund Rangamani

Adopting the thin-layer improved brick-wall method, we investigate the thermodynamics of a black hole embedded in a spatially flat Friedmann-Robertson-Walker universe. We calculate the temperature and the entropy at every apparent horizon…

General Relativity and Quantum Cosmology · Physics 2011-03-07 Khireddine Nouicer

We address a long-standing problem of describing the thermodynamics of a charged accelerating black hole. We derive a standard first law of black hole thermodynamics, with the usual identification of entropy proportional to the area of the…

High Energy Physics - Theory · Physics 2017-02-03 Michael Appels , Ruth Gregory , David Kubiznak

A general formulation of the basic conflict of the information problem is given, encapsulated in a "black hole theorem." This is framed in a more general context than the usual one of quantum field theory on a background, and is based on…

High Energy Physics - Theory · Physics 2023-02-27 Steven B. Giddings

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

Interactions between outgoing Hawking particles and ingoing matter are determined by gravitational forces and Standard Model interactions. In particular the gravitational interactions are responsible for the unitarity of the scattering…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Gerard 't Hooft

The thermodynamics of ``horizon brightened acceleration radiation'' (HBAR), due to a random atomic cloud freely falling into a black hole in a Boulware-like vacuum, is shown to mimic the thermodynamics of the black hole itself. The…

General Relativity and Quantum Cosmology · Physics 2025-01-03 A. Azizi , H. E. Camblong , A. Chakraborty , C. R. Ordonez , M. O. Scully

We study topological black hole solutions of the simplest quadratic gravity action and we find that two classes are allowed. The first is asymptotically flat and mimics the Reissner-Nordstr\"om solution, while the second is asymptotically…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Guido Cognola , Massimiliano Rinaldi , Luciano Vanzo , Sergio Zerbini

We demonstrate that the black hole evaporation can be modelled as a process where one symmetry of the system is spontaneously broken continuously. We then identify three free-parameters of the system. The sign of one of the free-parameters,…

General Relativity and Quantum Cosmology · Physics 2024-04-30 Ivan Arraut

We study a self-consistent solution of the semi-classical Einstein equation including the back reaction from the Hawking radiation. Our geometry is constructed by connecting flat space and the outgoing Vaidya metric at the locus of the…

High Energy Physics - Theory · Physics 2015-06-04 Hikaru Kawai , Yoshinori Matsuo , Yuki Yokokura

A black hole and a black hyperboloid solutions in the space with the Schroedinger isometries are presented and their thermodynamics is examined. The on-shell action is obtained by the difference between the extremal and non-extremal ones…

High Energy Physics - Theory · Physics 2009-03-27 Daiske Yamada

Black holes exist all over our Universe, possessing a very wide range of masses. At the moment, they serve as a probe to test general relativity at astrophysical scales, but in the future they may also give us information about gravity at…

High Energy Physics - Theory · Physics 2025-10-24 Tiago V. Fernandes

It is argued that the qualitative features of black holes, regarded as quantum mechanical objects, depend both on the parameters of the hole and on the microscopic theory in which it is embedded. A thermal description is inadequate for…

High Energy Physics - Theory · Physics 2009-10-22 C. F. E. Holzhey , F. Wilczek

We propose a new formula for the entropy of a dynamical black hole$-$valid to leading order for perturbations off of a stationary black hole background$-$in an arbitrary classical diffeomorphism covariant Lagrangian theory of gravity in $n$…

High Energy Physics - Theory · Physics 2024-04-02 Stefan Hollands , Robert M. Wald , Victor G. Zhang

We argue the existence of solutions of the Euclidean Einstein equations that correspond to a vortex sitting at the horizon of a black hole. We find the asymptotic behaviours, at the horizon and at infinity, of vortex solutions for the gauge…

High Energy Physics - Theory · Physics 2011-04-20 Fay Dowker , Ruth Gregory , Jennie Traschen

We develop an analytical formalism for studying optical analogues of spherically symmetric black-hole spacetimes. We demonstrate the exact similarity between the electromagnetic wave equations in an inhomogeneous medium in flat spacetime…

General Relativity and Quantum Cosmology · Physics 2012-09-26 Suraj S. Hegde , C. V. Vishveshwara

The relationship between thermodynamics and the Lloyd bound on the holographic complexity for a black hole has been of interest. We consider $D$ dimensional anti-de Sitter black holes with hyperbolic geometry as well as black holes with…

High Energy Physics - Theory · Physics 2022-08-03 H. Babaei-Aghbolagh , Hosein Mohammadzadeh , Davood Mahdavian Yekta , Komeil Babaei Velni

Black holes are presumed to have an ideal ability to absorb and keep matter. Whatever comes close to the event horizon, a boundary separating the inside region of a black hole from the outside world, inevitably goes in and remains inside…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Yu. Kuchiev
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