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During the past 30 years, research in general relativity has brought to light strong hints of a very deep and fundamental relationship between gravitation, thermodynamics, and quantum theory. The most striking indication of such a…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Robert M. Wald

In this paper, using Hamilton-Jacobi method, we discuss the tunnelling of fermions when the dual influence of quantum gravity and the deformation of a parameterized black hole is taken into account. With the influence of the generalized…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Zhonghua Li

Newtonian gravitation with some slight modifications, along with some highly simplified ideas from quantum field theory allow us to reproduce, at least at the level of back-of-the-envelope calculations, many results of black hole physics.…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Aldo Martínez-Merino , Octavio Obregón , Michael P. Ryan

This work explores the role of thermodynamic fluctuations in the two parameter Hawking radiating black hole configurations. The system is characterized by an ensemble of arbitrary mass and radiation frequency of the black holes. In the due…

High Energy Physics - Theory · Physics 2010-11-11 S. Bellucci , B. N. Tiwari

We investigate the thermodynamics of Schwarzschild-Tangherlini black hole in the context of the generalized uncertainty principle. The corrections to the Hawking temperature, entropy and the heat capacity are obtained via the modified…

High Energy Physics - Theory · Physics 2016-09-29 Z. W. Feng , H. L. Li , X. T. Zu , S. Z. Yang

In this paper, we discuss remnants of the Bardeen regular black hole motivated by using the concept of thermal fluctuations. First, we derive the equilibrium values of various thermodynamic quantities like entropy, Hawking temperature,…

General Relativity and Quantum Cosmology · Physics 2021-09-14 Yawar H. Khan , Sudhaker Upadhyay , Prince A. Ganai

Classical thermodynamics is unrivalled in its range of applications and relevance to everyday life. It enables a description of complex systems, made up of microscopic particles, in terms of a small number of macroscopic quantities, such as…

Quantum Physics · Physics 2016-01-13 James Millen , André Xuereb

In this work, energy distribution and thermodynamics are investigated in the Schwarzschild black hole spacetime when considering corrections due to quantum vacuum fluctuations. The Einstein and M{\o}ller prescriptions were used to derive…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Mahamat Saleh , Bouetou Bouetou Thomas , Kofane Timoleon Crepin

We consider a quantum system with $N$ degrees of freedom which is classically chaotic. When $N$ is large, and both $\hbar$ and the quantum energy uncertainty $\Delta E$ are small, quantum chaos theory can be used to demonstrate the…

chao-dyn · Physics 2009-10-28 Mark Srednicki

We obtain a new general solution for the gravitational field equations in quantum fluctuation modified gravity, which reduces to different classes of black holes surrounded by fluids, by taking some specific values of the parameter of the…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Yaobin Hua , Rong-Jia Yang

The quantum fluctuations of horizons in Robertson-Walker universes and in the Schwarzschild spacetime are discussed. The source of the metric fluctuations is taken to be quantum linear perturbations of the gravitational field. Lightcone…

General Relativity and Quantum Cosmology · Physics 2016-08-24 L. H. Ford , N. F. Svaiter

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

We will discuss selected physical effects of spacetime geometry fluctuations, especially the operational signatures of geometry fluctuations and their effects on black hole horizons. The operational signatures which we discuss involve the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. T. Thompson , L. H. Ford

For a thermodynamic system, apart from thermal fluctuations, there are also fluctuations in thermodynamic volume when the system is in contact with a volume reservoir. For the case of black holes in anti-de Sitter spacetimes, the effect of…

High Energy Physics - Theory · Physics 2022-10-13 Aritra Ghosh , Sudipta Mukherji , Chandrasekhar Bhamidipati

We consider Hawking radiation as due to a tunneling process in a black hole were quantum corrections, derived from Quantum Einstein Gravity, are taken into account. The consequent derivation, satisfying conservation laws, leads to a…

General Relativity and Quantum Cosmology · Physics 2015-06-16 R. Torres , F. Fayos , O. Lorente-Espin

Black holes exist all over our Universe, possessing a very wide range of masses. At the moment, they serve as a probe to test general relativity at astrophysical scales, but in the future they may also give us information about gravity at…

High Energy Physics - Theory · Physics 2025-10-24 Tiago V. Fernandes

We calculate the black hole mass distribution function that follows from the random emission of quanta by Hawking radiation and with this function we calculate the black hole mass fluctuation. From a complete different perspective we regard…

General Relativity and Quantum Cosmology · Physics 2020-03-10 Marcelo Schiffer

We study how fluctuations of the black hole geometry affect the properties of Hawking radiation. Even though we treat the fluctuations classically, we believe that the results so obtained indicate what might be the effects induced by…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Barrabès , V. Frolov , R. Parentani

This paper presents a comprehensive review of geometrical thermodynamics, which employs geometric concepts to study the thermodynamic properties of physical systems. The review covers key topics such as thermodynamic fluctuation theory,…

General Relativity and Quantum Cosmology · Physics 2023-10-31 S. Mahmoudi , Kh. Jafarzade , S. H. Hendi

The thermodynamic properties of the (2+1)-dimensional non-rotating black hole of Ba\~nados, Teitelboim and Zanelli are discussed. The first quantum correction to the Bekenstein-Hawking entropy is evaluated within the on-shell Euclidean…

General Relativity and Quantum Cosmology · Physics 2009-10-30 A. A. Bytsenko , L. Vanzo , S. Zerbini
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