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The thermodynamic quantities such as the local temperature, heat capacity, off-shell free energy and the stability of a black hole involving a global monopole within or outside the $f(R)$ gravity are examined. We compare the two classes of…

High Energy Physics - Theory · Physics 2015-06-12 Jingyun Man , Hongbo Cheng

Black holes are famous for their universal behavior. New thermodynamic relations have been found recently for the product of gravitational entropies over all the horizons of a given stationary black hole. This product has been found to be…

High Energy Physics - Theory · Physics 2015-06-15 Alejandra Castro , Nima Dehmami , Gaston Giribet , David Kastor

We investigate the thermodynamic and observational implications for the charged torus-like black holes, a class of solutions distinct from the classical Schwarzschild black holes. We explicitly derive the fundamental thermodynamic…

High Energy Physics - Theory · Physics 2026-02-27 Usman Zafar , Kazuharu Bamba , Abdul Jawad , Tabinda Rasheed , Sanjar Shaymatov

Recently, the non-trivial solutions for 4-dimensional black holes of Einstein-Gauss-Bonnet gravity had been discovered. In this paper, considering a charged particle entering into a 4-dimensional Gauss-Bonnet-Maxwell black hole, we…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Shuxuan Ying

Despite the finiteness of stress tensor for a scalar field on the four-dimensional Schwarzschild black hole in the Israel-Hartle-Hawking vacuum, the Tolman temperature in thermal equilibrium is certainly divergent on the horizon due to the…

General Relativity and Quantum Cosmology · Physics 2017-06-26 Myungseok Eune , Yongwan Gim , Wontae Kim

A major outstanding challenge in cosmology is the persistent discrepancy between the Hubble constant obtained from early and late universe measurements -- the Hubble tension. Examining cosmological evolution through the lens of information…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-26 Juan Luis Cabrera Fernández

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

We study thermodynamic quantities and the stability of a black hole in a cavity using the Euclidean action formalism by Gibbons and Hawking based on the generalized uncertainty relation which is extended in a symmetric way with respect to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Wontae Kim , Edwin J. Son , Myungseok Yoon

For the Schwarzschild black hole the Bekenstein-Hawking entropy is proportional to the area of the event horizon. For the black holes with two horizons the thermodynamics is not very clear, since the role of the inner horizons is not well…

General Relativity and Quantum Cosmology · Physics 2021-07-26 G. E. Volovik

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

This is an introductory, up-to-date review of the essentials of black hole thermodynamics. The main topics surveyed are: (i) the four laws of thermodynamics as applied to a black hole horizon, and the current status of their proofs; (ii)…

General Relativity and Quantum Cosmology · Physics 2018-07-12 Aron C. Wall

In this work we apply the gravity-thermodynamics approach for the case of generalized mass-to-horizon entropy, which is a two-parameter extension of Bekenstein-Hawking entropy that arises from the extended mass-to-horizon relation, that is…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Spyros Basilakos , Andreas Lymperis , Maria Petronikolou , Emmanuel N. Saridakis

This study investigates the thermodynamics of topological black hole solutions in $R^{2}$ gravity, incorporating the effects of small statistical fluctuations up to first-order corrections. We precisely calculate entropy, internal energy,…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Sudhaker Upadhyay , Jyotish Kumar , Dharm Veer Singh , Yerlan Myrzakulov , Kairat Myrzakulov , Abhishek Ashish

Two thermodynamic "paradoxes" of black hole physics are re-examined. The first is that there is a thermal instability involving two coupled blackbody cavities containing two black holes, and second is that a classical black hole can swallow…

General Physics · Physics 2015-03-17 R. Y. Chiao

Black shells have been proposed as black hole mimickers, i.e. horizonless ultra-compact objects that replace black holes. In this paper, we assume the existence of black shells and consider their thermodynamic properties, but remain…

High Energy Physics - Theory · Physics 2025-06-04 Ulf Danielsson , Vyshnav Mohan , Larus Thorlacius

Recently, we have investigated the dynamics of the universe in tachyon cosmology with non-minimal coupling to matter \cite{faraj}-\cite{faraj3}. In particular, for the interacting holographic dark energy (IHDE), the model is studied in…

General Relativity and Quantum Cosmology · Physics 2016-07-26 H. Farajollahi , A. Ravanpak , M. Abolghasemi

The Hawking temperature for the Schwarzschild black hole is divergent when the mass of the black hole vanishes; however the corresponding geometry becomes the Minkowski spacetime whose intrinsic temperature is zero. In connection with this…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Myungseok Eune , Yongwan Gim , Wontae Kim

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 discuss some of the drawbacks of using event horizons to define black holes. The reasons are both practical, physical and theoretical. We argue that locally defined trapping horizons can remedy many of these drawbacks. We examine of the…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Alex B. Nielsen

In pursuing the intriguing resemblance of the Einstein equations to thermodynamic equations, most sharply seen in systems possessing horizons, we suggest that eternal inflation of the stochastic type may be a fruitful phenomenon to explore.…

General Relativity and Quantum Cosmology · Physics 2011-10-03 Jose Tomas Galvez Ghersi , Ghazal Geshnizjani , Federico Piazza , Sarah Shandera