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The effects of the generalized uncertainty principle (GUP) on the low-energy stationary states of a particle moving in a cavity with no sharp boundaries are determined by means of the perturbation expansion in the framework of…

High Energy Physics - Theory · Physics 2015-06-23 K. Sailer , Z. Peli , S. Nagy

A novel thermodynamic phenomenon has been observed in the quantum Ba\~{n}ados-Teitelboim-Zanelli (qBTZ) black hole, utilizing generalized free energy and Kramer escape rate. This phenomenon also reveals the unique property of the quantum…

General Relativity and Quantum Cosmology · Physics 2025-01-03 Zhen-Ming Xu , Pan-Pan Zhang , Bin Wu , Xing Zhang

We investigate thermodynamic aspects of black holes in the recently formulated four dimensional Gauss-Bonnet theory of gravity, focusing on its asymptotically de Sitter ($\Lambda>0$) solutions. We take a Euclidean path integral approach,…

General Relativity and Quantum Cosmology · Physics 2021-12-01 Gareth Arturo Marks , Fil Simovic , Robert B. Mann

Parikh-Wilczek tunnelling framework is investigated again. We argue that Parikh-Wilczek's treatment, which satisfies the first law of black hole thermodynamics and consists with an underlying unitary theory, is only suitable for a…

High Energy Physics - Theory · Physics 2009-11-11 Jingyi Zhang , Yapeng Hu , Zheng Zhao

We consider the thermodynamics and Geometrothermodynamics of the Myers-Perry black holes in five dimensions for three different cases, depending on the values of the angular momenta. We follow Davies approach to study the thermodynamics of…

High Energy Physics - Theory · Physics 2013-10-25 Alessandro Bravetti , Davood Momeni , Ratbay Myrzakulov , Aziza Altaibayeva

Using Euclidean methods we investigate the thermodynamics of stealth black hole solutions, which are solutions that geometrically are indistinguishable from those of general relativity, however they are accompanied by a non-trivial…

High Energy Physics - Theory · Physics 2025-02-04 Athanasios Bakopoulos , Thanasis Karakasis , Eleftherios Papantonopoulos

We study the thermodynamics of the KS black hole which is an asymptotically flat solution of the HL gravity. In particular, we introduce a cavity to describe the thermodynamics at a finite isothermal surface on general ground and to get a…

General Relativity and Quantum Cosmology · Physics 2013-01-18 Myungseok Eune , Bogeun Gwak , Wontae Kim

In this paper we study thermodynamics of black body radiation in the presence of quantum gravitational effects through a Generalized Uncertainty Principle that admits both a minimal measurable length and a maximal momentum. We focus on…

General Physics · Physics 2013-10-17 Homa Shababi

This paper deals with the thermodynamical properties of black hole formulated in Einstein theory of relativity and associated with a nonlinear electromagnetic field. The transition of the black hole is analyzed using the parameters mass,…

General Relativity and Quantum Cosmology · Physics 2023-05-31 G. Abbas , R. H. Ali

In the extended phase space, we investigate the rainbow gravity-corrected thermodynamic phenomena and phase structure of the Schwarzschild black hole surrounded by a spherical cavity. The results show that rainbow gravity has a very…

General Relativity and Quantum Cosmology · Physics 2022-08-30 Zhong-Wen Feng , Xia Zhou , Shi-Qi Zhou , Shu-Zheng Yang

We study the thermodynamic phase transition in the rainbow Schwarzschild black hole where the metric depends on the energy of the test particle. Identifying the black hole temperature with the energy from the modified dispersion relation,…

General Relativity and Quantum Cosmology · Physics 2014-10-03 Yongwan Gim , Wontae Kim

To derive black hole thermodynamics in any quantum theory of gravity, one must introduce constraints that ensure that a black hole is actually present. For a large class of black holes, the imposition of such ``horizon constraints'' allows…

General Relativity and Quantum Cosmology · Physics 2015-05-13 S. Carlip

The origin of black hole entropy and the black hole information problem provide important clues for trying to piece together a quantum theory of gravity. Thus far, discussions on this topic have mostly assumed that in a consistent theory of…

High Energy Physics - Theory · Physics 2012-10-02 Markus P. Mueller , Jonathan Oppenheim , Oscar C. O. Dahlsten

In contrast to Hawking radiation of black hole with a given spacetime structure, we consider a competitive transition due to a heat transfer from a hotter inner horizon to a colder outer horizon of Kerr black hole, that results in a stable…

General Relativity and Quantum Cosmology · Physics 2012-08-08 V. V. Kiselev

The thermodynamics of black holes is reformulated within the context of the recently developed formalism of geometrothermodynamics. This reformulation is shown to be invariant with respect to Legendre transformations, and to allow several…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hernando Quevedo

We present a novel generalization of the Heisenberg uncertainty principle which introduces the existence of a maximal observable momentum and at the same time does not entail a minimal indeterminacy in position. The above result is an exact…

High Energy Physics - Theory · Physics 2021-07-07 Luciano Petruzziello

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

An introduction to generalized thermodynamics of quantum black holes, in the one-loop approximation, is given. The material is aimed at graduate students. The topics include: quantum evaporation of black holes, Euclidean formulation of…

General Relativity and Quantum Cosmology · Physics 2022-10-13 Dmitri V. Fursaev

We propose a generalized thermodynamics in which quasi-homogeneity of the thermodynamic potentials plays a fundamental role. This thermodynamic formalism arises from a generalization of the approach presented in paper [1], and it is based…

General Relativity and Quantum Cosmology · Physics 2015-06-25 F. Belgiorno

In this paper, we study the thermodynamics and phase transition of a BTZ black hole in a finite space region, namely a cavity. By imposing a temperature-fixed boundary condition on the wall of the cavity and evaluating the Euclidean action,…

General Relativity and Quantum Cosmology · Physics 2022-08-25 Yuchen Huang , Jun Tao