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In this work, we study the thermodynamic properties on a non--commutative background via gravitational gauge field potentials. This procedure is accomplished after contracting de Sitter (dS) group, $\mathrm{SO}(4,1)$, with the Poincar\`e…

High Energy Physics - Theory · Physics 2023-02-07 A. A. Araújo Filho , S. Zare , P. J. Porfírio , J. Kříž , H. Hassanabadi

In this work, we investigate black hole (BH) physics in the context of quantum corrections. These quantum corrections were introduced recently by replacing classical geodesics with quantal (Bohmian) trajectories and hence form a quantum…

General Relativity and Quantum Cosmology · Physics 2016-11-04 Ahmed Farag Ali , Mohammed M. Khalil

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

In this contribution we present a noncanonical phase-space noncommutative (NC) extension of a Kantowski Sachs (KS) cosmological model to describe the interior of a Schwarzschild black hole (BH). We evaluate the thermodynamical quantities…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Catarina Bastos , Orfeu Bertolami , Nuno Dias , João Prata

We study the interior of a Schwarzschild Black-Hole (B-H) using Relativistic Quantum Geometry described in \cite{rb} and \cite{rb1}. We found discrete energy levels for a scalar field from a polynomial condition for Heun Confluent functions…

General Relativity and Quantum Cosmology · Physics 2021-08-16 Juan Ignacio Musmarra , Mauricio Bellini , Mariano Anabitarte

In both canonical ensemble and grand canonical ensemble, the thermodynamic stability and phase structure of Einstein-Euler-Heisenberg-AdS black hole are studied. We derive the Hawking temperature, Helmholtz free energy, Gibbs potential,…

High Energy Physics - Theory · Physics 2025-01-24 Yinan Zhao , Hongbo Cheng

The Black Hole Uncertainty Principle correspondence suggests that there could exist black holes with mass beneath the Planck scale but radius of order the Compton scale rather than Schwarzschild scale. We present a modified, self-dual…

General Relativity and Quantum Cosmology · Physics 2015-07-20 Bernard J. Carr , Jonas Mureika , Piero Nicolini

Even though, classically, a black holes is gravitational object, it can be treated as a thermodynamic object when quantum effect is taken into account. It is found that by using Gibbs-Boltzmann entropy, thermodynamic system associated…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Thanawat Anusonthi , Pitayuth Wongjun , Ratchaphat Nakarachinda

The entropy of extremal black holes (BHs) is obtained using a continuity argument from extremal quasiblack holes (QBHs). It is shown that there exists a smooth limiting transition in which (i) the system boundary approaches the extremal…

General Relativity and Quantum Cosmology · Physics 2011-05-25 José P. S. Lemos , Oleg B. Zaslavskii

A new version of the geometry inside a black hole is proposed, on the grounds of an idea given by Doran et al. The spacetime is still time dependent and is a solution of Einstein's equations with a stress tensor corresponding to an…

High Energy Physics - Theory · Physics 2009-04-24 Hristu Culetu

A black hole considered as a part of a thermodynamical system possesses the Bekenstein-Hawking entropy $S_H =A_H /(4l_{\mbox{\scriptsize{P}}}^2)$, where $A_H$ is the area of a black hole surface and $l_{\,\mbox{\scriptsize{P}}}$ is the…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Valeri P. Frolov

Following Barrow's idea of fractal black hole horizon, we re-derive black hole entropy of static spherically symmetric black holes. When a black hole absorbs matter its horizon area will increase. Given the spherically fractal structure, we…

General Relativity and Quantum Cosmology · Physics 2022-05-27 Li-Hua Wang , Meng-Sen Ma

We propose dual thermodynamics corresponding to black hole mechanics with the identifications E' -> A/4, S' -> M, and T' -> 1/T in Planck units. Here A, M and T are the horizon area, mass and Hawking temperature of a black hole and E', S'…

High Energy Physics - Theory · Physics 2014-11-18 Csaba Balazs , Istvan Szapudi

In this paper, we investigate the thermodynamic properties of black holes under the influence of rainbow gravity. In the metric of Schwarzschild, Reissner-Nordstrom and Reissner-Nordstrom-de-Sitter black hole surrounded by quintessence, we…

General Relativity and Quantum Cosmology · Physics 2016-10-27 Ritwick Banerjee , Ritabrata Biswas

We revisit the dynamics of a black hole accreting energy from a surrounding homogeneous and infinite space. We argue for a simple heuristic modification of the Schwarzschild approximation when the density of the medium is not negligible…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Aurélien Barrau , Killian Martineau , Hanane Zelgoum

We study the thermodynamic phase transition of a quantum-corrected Schwarzschild black hole. The modified metric affects the critical temperature which is slightly less than the conventional one. The space without black holes is not the hot…

General Relativity and Quantum Cosmology · Physics 2013-02-15 Wontae Kim , Yongwan Kim

In this work, we present a thermodynamical study of a Rindler modified Schwarzschild black hole under the consideration of small thermal fluctuations. In particular, we compute various stable macroscopic thermodynamic variables such as…

General Relativity and Quantum Cosmology · Physics 2024-03-11 Surajit Mandal , Surajit Das , Dhruba Jyoti Gogoi , Ananda Pramanik

The role of horizon area quantization on black hole thermodynamics is investigated in this article. The coefficient appearing in the quantization of area is fixed by an appeal to the saturated form of the Landauer's principle. Then by…

General Relativity and Quantum Cosmology · Physics 2025-04-24 Arpita Jana , Manjari Dutta , Sunandan Gangopadhyay

In this paper we study noncommutative black holes. We use a diffeomorphism between the Schwarzschild black hole and the Kantowski-Sachs cosmological model, which is generalized to noncommutative minisuperspace. Through the use of the…

High Energy Physics - Theory · Physics 2009-11-11 J. C. Lopez-Dominguez , O. Obregon , C. Ramirez , M. Sabido

Parikh-Wilczek tunnelling framework, which treats Hawking radiation as a tunnelling process, is investigated again. As the first order correction, the log-corrected entropy-area relation naturally emerges in the tunnelling picture if we…

High Energy Physics - Theory · Physics 2008-11-26 Jingyi Zhang