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We investigate a microscopic black hole in case of modified generalized uncertainty principle with a minimal uncertainty in position as well as in momentum. We calculate thermodynamical functions of a Schwarzschild black hole such as…

General Relativity and Quantum Cosmology · Physics 2015-06-05 M. M. Stetsko

Schwarzschild black holes in a de Sitter background were studied in terms of their thermodynamics based on the R\'enyi statistics. This led to thermodynamically stable black hole configurations for some certain range of black hole radii;…

General Relativity and Quantum Cosmology · Physics 2020-07-10 Lunchakorn Tannukij , Pitayuth Wongjun , Ekapong Hirunsirisawat , Tanapat Deesuwan , Chatchai Promsiri

By using the canonical Hamiltonian method, we obtain the mass and entropy of the black holes with general dynamical coupling constant $\lambda$ in Ho\v{r} ava-Lifshitz Gravity. Regardless of whether the horizon is sphere, plane or…

High Energy Physics - Theory · Physics 2009-09-28 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta

We study the stationary states of a quantum mechanical system describing an atom coupled to black-body radiation at positive temperature. The stationary states of the non-interacting system are given by product states, where the particle is…

Mathematical Physics · Physics 2009-11-10 Jürg Fröhlich , Marco Merkli , Israel Michael Sigal

The hypothesis of a tiny fraction of the cosmic inventory evolving cosmologically as a degenerate Fermi gas test fluid at some dominant cosmological background is investigated. Our analytical results allow for performing preliminary…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-06 Alex E. Bernardini , E. L. D. Perico

Temperature in a simple thermodynamical system is not limited from above. It is also widely believed that it does not make sense talking about temperatures higher than the Planck temperature in the absence of the full theory of quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-05 De-Chang Dai , Dejan Stojkovic

This work presents a non-equilibrium framework for thermodynamicized black holes, inspired by the entropy-functional interpretation of emergent gravity and by residue-based methods in black hole thermodynamics. The main idea is to unify…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Wen-Xiang Chen

A possible resolution of the information loss paradox for black holes is proposed in which a phase transition occurs when the temperature of an evaporating black hole equals a critical value, $T_c$, and Lorentz invariance and diffeomorphism…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Moffat

This study examines a recently hypothesized black hole solution in de Rham--Gabadadze--Tolley massive gravity. Firstly, we consider the negative cosmological constant as a thermodynamic pressure. We extract the thermodynamical properties…

General Relativity and Quantum Cosmology · Physics 2024-05-09 Muhammad Yasir , Tiecheng Xia , Sudhaker Upadhyay

We study an isothermal system of semi-degenerate self-gravitating fermions in general relativity. Such systems present mass density solutions with a central degenerate core, a plateau and a tail which follows a power law behaviour $r^{-2}$.…

Astrophysics of Galaxies · Physics 2014-11-12 Carlos R. Argüelles , Remo Ruffini , Bernardo M. O. Fraga

In this article, we consider a conventional black hole under f(R) gravity. Due to the small fluctuations around the equilibrium state, we have summarized the expression of the modified thermodynamic entropy of this black hole. At the same…

General Relativity and Quantum Cosmology · Physics 2022-01-27 Wen-Xiang Chen , Yao-Guang Zheng , Jing-Yi Zhang

We propose a method to test the effects of quantum fluctuations on black holes by analyzing the effects of thermal fluctuations on dumb holes, the analogues for black holes. The proposal is based on the Jacobson formalism, where the…

General Relativity and Quantum Cosmology · Physics 2017-02-15 Behnam Pourhassan , Mir Faizal , Salvatore Capozziello

A quantum gravitational instability is identified at Planck scales between non-spinning extreme Schwarzschild black holes and spinning extreme Kerr black holes, which produces a turbulent Planck particle gas. Planck inertial vortex forces…

Astrophysics · Physics 2007-05-23 Carl H. Gibson

In this paper, we investigate the thermodynamic properties of spherically symmetric, static black hole solutions within the framework of Conformal Killing Gravity (CKG). This is a modified theory of gravity that retains all solutions of…

General Relativity and Quantum Cosmology · Physics 2025-08-19 S. Ghaffari , G. G. Luciano

The microstructure of black holes is a mystery. There is yet no resolution of basic questions such as what the constituent particles are. We work here with black hole thermodynamics (BHT), and the metric geometry of thermodynamics, which…

General Relativity and Quantum Cosmology · Physics 2023-12-12 George Ruppeiner , Alexandru-Mihail Sturzu

It has been suggested by Timmermans [Phys. Rev. Lett. {\bf 87}, 240403 (2001)] that loss of fermions in a degenerate system causes strong heating. We address the fundamental limit imposed by this loss on the temperature that may be obtained…

Soft Condensed Matter · Physics 2009-11-10 L. D. Carr , T. Bourdel , Y. Castin

We have investigated the black hole thermodynamics and the phase transition for renormalized group improved asymptotically safe Schwarzschild black hole. This geometry takes into account the quantum gravitational correction in the running…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Rituparna Mandal , Sunandan Gangopadhyay

Thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, equations of state and thermodynamic response functions are explicitly…

General Relativity and Quantum Cosmology · Physics 2016-11-28 L. F. Escamilla-Herrera , E. Mena-Barboza , J. Torres-Arenas

The frozen star model provides a classical description of a regularized black hole and is based upon the idea that regularizing the singularity requires deviations from the Schwarzschild geometry which extend over horizon-sized scales, as…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Ram Brustein , A. J. M. Medved , Tom Shindelman

We analyze the thermodynamical properties of black holes in a modified theory of gravity, which was initially proposed to obtain correct dynamics of galaxies and galaxy clusters without dark matter. The thermodynamics of non-rotating and…

General Relativity and Quantum Cosmology · Physics 2016-05-20 Jonas R. Mureika , John W. Moffat , Mir Faizal
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