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The black hole as the thermodynamical system in equilibrium possesses the periodicity of motion in imaginary time, that allows us to formulate the quasi-classical rule of quantization. The rule yields the equidistant spectrum for the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. V. Kiselev

This is an introductory, up-to-date review of the essentials of black hole thermodynamics. The main topics surveyed are: (i) the four laws of thermodynamics as applied to a black hole horizon, and the current status of their proofs; (ii)…

General Relativity and Quantum Cosmology · Physics 2018-07-12 Aron C. Wall

A coherent picture of the quantum mechanics of a collapse-formed, evaporating black hole is presented. In a distant frame, semiclassical theory in the zone describes microscopic dynamics of only the "hard modes," the modes that are hard…

High Energy Physics - Theory · Physics 2019-04-17 Yasunori Nomura

Poincare recurrence theorem states that any finite system will come arbitrary close to its initial state after some very long but finite time. At the statistical level, this by itself does not represent a paradox, but apparently violates…

General Relativity and Quantum Cosmology · Physics 2017-01-26 Ruifeng Dong , Dejan Stojkovic

For the first time in literature, we provide an exact analytical scheme for calculating the analogous Hawking temperature and surface gravity for general relativistic accretion onto astrophysical black holes. Our calculation may bridge the…

Astrophysics · Physics 2007-05-23 Tapas Kumar Das

We present an investigation on thermodynamics of two different types of black holes viz. Kiselev black hole (asymptotically flat) and Taub-NUT (non-asymptotically flat) black hole. We compute the thermodynamic variables like black hole's…

General Relativity and Quantum Cosmology · Physics 2019-04-01 Amritendu Halder , Ritabrata Biswas

The black-hole information paradox has fueled a fascinating effort to reconcile the predictions of general relativity and those of quantum mechanics. Gravitational considerations teach us that black holes must trap everything that falls…

Quantum Physics · Physics 2009-07-07 Samuel L. Braunstein , Hans-Jürgen Sommers , Karol Życzkowski

Shape dynamics is classical theory of gravity which agrees with general relativity in many important cases, but possesses different gauge symmetries and constraints. Rather than spacetime diffeomorphism invariance, shape dynamics takes…

General Relativity and Quantum Cosmology · Physics 2016-09-23 Gabriel Herczeg , Vasudev Shyam

Black holes are extreme manifestations of general relativity, so one might hope that exotic quantum effects would be amplified in their vicinities, perhaps providing clues to quantum gravity. The commonly accepted treatment of quantum…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Adam D. Helfer

We discuss the quantum improvement of black hole solutions in the context of asymptotic safety. The Newton coupling in this formulation depends on an energy scale, which must be identified with some length scale in order to study physical…

High Energy Physics - Theory · Physics 2022-06-08 Chiang-Mei Chen , Yi Chen , Akihiro Ishibashi , Nobuyoshi Ohta , Daiki Yamaguchi

In this work we suggest a sufficiently simple for understanding "without knowing the details of the quantum gravity" and quite correct deduction of the Unruh temperature (but not whole Unruh radiation process!). Firstly, we shall directly…

General Relativity and Quantum Cosmology · Physics 2015-03-06 Vladan Pankovic , Darko Kapor

Black holes are famous for their universal behavior. New thermodynamic relations have been found recently for the product of gravitational entropies over all the horizons of a given stationary black hole. This product has been found to be…

High Energy Physics - Theory · Physics 2015-06-15 Alejandra Castro , Nima Dehmami , Gaston Giribet , David Kastor

Black holes are thermodynamic objects, but despite recent progress, the ultimate statistical mechanical origin of black hole temperature and entropy remains mysterious. Here I summarize an approach in which the entropy is viewed as arising…

General Relativity and Quantum Cosmology · Physics 2010-04-28 Steven Carlip

A gravitational potential in the relativistic case is introduced as an alternative to Wald's potential used by Verlinde, which reproduces the familiar entropy/area relation S=A/4 (in the natural units) when Verlinde's idea is applied to the…

High Energy Physics - Theory · Physics 2010-05-19 Yu Tian , Xiaoning Wu

The theory of general relativity is often considered under the framework of modified Einstein gravity to explain different phenomena under strong curvature. The strong curvature effect plays a main role near black holes, where the…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Mriganka Dutta , Banibrata Mukhopadhyay

Treating macro-black hole as quantum states, and using Brown-York quaselocal gravitational energy definition and Heisenberg uncertainty principle, we find out the classical horizon with singularity spreads into a quantum horizon in which…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hua Bai , Mu-Lin Yan

We study a black hole of mass $M$, enclosed within a spherical box, in equilibrium with its Hawking radiation. We show that the spacetime geometry inside the box is described by the Oppenheimer-Volkoff equations for radiation, except for a…

General Relativity and Quantum Cosmology · Physics 2016-01-28 Charis Anastopoulos , Ntina Savvidou

A criterion of thermal stability is derived for electrically charged quantum} black holes having large horizon area (compared to Planck area), as an inequality between the mass of the black hole and its microcanonical entropy. The…

General Relativity and Quantum Cosmology · Physics 2012-06-07 Abhishek Majhi , Parthasarathi Majumdar

The thermodynamic properties of black holes -- temperature, entropy and radiation rates -- are usually associated with the presence of a horizon. We argue that any Extremely Compact Object (ECO) must have the {\it same} thermodynamic…

High Energy Physics - Theory · Physics 2023-11-06 Samir D. Mathur , Madhur Mehta

We assume the validity of the Bekenstein-Hawking entropy, as given in terms of the horizon area of the Bardeen regular black hole, and consider it as the fundamental thermodynamic equation. We derive and investigate the behavior of the main…

General Relativity and Quantum Cosmology · Physics 2025-02-10 H. Quevedo , M. N. Quevedo , A. Sanchez