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Black hole thermodynamics is the area of study that seeks to reconcile the laws of thermodynamics with the existence of black hole event horizons. Here we calculate the entropy corresponding to the interior of a Schwarzschild black hole for…

General Physics · Physics 2019-02-28 Sandip Dutta , Ritabrata Biswas

We study the behaviour of an ideal non-relativistic Bose gas in a three-dimensional space where one of the dimensions is compactified to form a circle. In this case there is no phase transition like that for the case of an infinite volume,…

Statistical Mechanics · Physics 2009-11-11 David J. Toms

We propose an effective description of 0-brane black holes, in which the black hole is modeled as a gas of non-interacting quasi-particles in the dual quantum mechanics. This simple model is shown to account for many of the static…

High Energy Physics - Theory · Physics 2008-11-26 Norihiro Iizuka , Daniel Kabat , Gilad Lifschytz , David A. Lowe

We consider a spacetime foam model of the Schwarzschild horizon, where the horizon consists of Planck size black holes. According to our model the entropy of the Schwarzschild black hole is proportional to the area of its event horizon. It…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jarmo Makela , Ari Peltola

This paper investigates the question whether a realistic black hole can be in principal similar to a star, having a large but finite redshift at its horizon. If matter spreads throughout the interior of a supermassive black hole with mass…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Theo M. Nieuwenhuizen , Vaclav Spicka

Following Rosen's quantization rules, two of the Authors (CC and FF) recently described the Schwarzschild black hole (BH) formed after the gravitational collapse of a pressureless "star of dust" in terms of a "gravitational hydrogen atom".…

General Relativity and Quantum Cosmology · Physics 2021-01-01 C. Corda , F. Feleppa , F. Tamburini

We investigate the formation dynamics of sonic horizons in a Bose gas confined in a (quasi) one-dimensional trap. This system is one of the most promising realizations of the analogue gravity paradigm and has already been successfully…

Quantum Gases · Physics 2020-10-12 Manuele Tettamanti , Alberto Parola

In this work we study the statistical and thermodynamic properties of the horizon fluid corresponding to the Boulware-Deser (BD) black hole of Einstein-Gauss-Bonnet (EGB) gravity. Using mean field theory, we show explicitly that the BD…

General Relativity and Quantum Cosmology · Physics 2016-07-20 J. L. López , Swastik Bhattacharya , S. Shankaranarayanan

Consider a particle sitting at a fixed position outside of a stable black hole. If the system is heated up, the black hole horizon grows and there should exist a critical temperature above which the particle enters the black hole interior.…

High Energy Physics - Theory · Physics 2016-02-01 Frank Ferrari

In this paper we consider spacetimes in vacuum general relativity --possibly coupled to a scalar field-- with a positive cosmological constant $\Lambda$. We employ the Isolated Horizons (IH) formalism where the boundary conditions imposed…

High Energy Physics - Theory · Physics 2009-11-10 Alejandro Corichi , Andres Gomberoff

It has been suggested in the literature that, given a black hole spacetime, a relativistic membrane can provide an effective description of the horizon dynamics. In this paper, we explore such a framework in the context of a 2+1-dimensional…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. J. M. Medved

In previous work, we derived the most general solution of the collisionless Boltzmann equation describing the accretion of a kinetic gas into a Schwarzschild black hole background, and we gave explicit expressions for the corresponding…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Paola Rioseco , Olivier Sarbach

The Bose-Einstein condensation for an ideal Bose gas and for a dilute weakly interacting Bose gas in a manifold with nonnegative Ricci curvature is investigated using the heat kernel and eigenvalue estimates of the Laplace operator. The…

Mathematical Physics · Physics 2014-03-31 Levent Akant , Emine Ertugrul , Ferzan Tapramaz , O. Teoman Turgut

Based on the entropy relations, we derive thermodynamic bound for entropy and area of horizons of Schwarzschild-dS black hole, including the event horizon, Cauchy horizon and negative horizon (i.e. the horizon with negative value), which…

General Relativity and Quantum Cosmology · Physics 2015-02-04 Wei Xu , Jia Wang , Xin-he Meng

We investigate stationary spherically symmetric accretion of the relativistic Vlasov gas on Reissner-Nordstr\"{o}m black holes. The model is based on a recent analysis done by Rioseco and Sarbach for the Schwarzschild spacetime. Both models…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Adam Cieślik , Patryk Mach

In this work, generalizing our previous results, we determine in an original and the simplest way three most important thermodynamical characteristics (Bekenstein-Hawking entropy, Bekenstein quantization of the entropy or (outer) horizon…

General Relativity and Quantum Cosmology · Physics 2008-03-06 Vladan Pankovic , Jovan Ivanovic , Milan Predojevic , Aleksandar-Meda Ivanovic

In the thermodynamics of black holes in asymptotically flat space, the third law of thermodynamics is violated, and entropy cannot be consistently modeled through conventional statistical mechanics. Notably, the third law of thermodynamics…

High Energy Physics - Theory · Physics 2024-11-05 Irina Aref'eva , Daniil Stepanenko , Igor Volovich

Black holes behave as thermodynamic systems, and a central task of any quantum theory of gravity is to explain these thermal properties. A statistical mechanical description of black hole entropy once seemed remote, but today we suffer an…

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

Based on the generalized uncertainty principle, we study the entropy of a four-dimensional black hole by counting degrees of freedom near the horizon and obtain the (finite) entropy proportional to the surface area at the horizon without a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Myungseok Yoon , Jihye Ha , Wontae Kim

In this paper, we investigate the geodesic motion of massive and massless test particles in the vicinity of a black hole space-time surrounded by perfect fluid (quintessence, dust, radiation, cosmological constant and phantom) in Rastall…

General Relativity and Quantum Cosmology · Physics 2021-02-15 Saheb Soroushfar , Maryam Afrooz