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The shadow of a black hole serves as a pristine window into the strong-gravity regime, with cuspy feature emerging as a smoking-gun signature of physics beyond the Kerr paradigm. In this paper, we extend the work of [arXiv:2601.15612…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Shao-Wen Wei , Yu-Xiao Liu

The on-shell gravitational action and the boundary stress tensor are essential ingredients in the study of black hole thermodynamics. We employ the Hamilton-Jacobi method to calculate the boundary counterterms necessary to remove the…

High Energy Physics - Theory · Physics 2014-11-18 James T. Liu , Wafic A. Sabra

Regular black holes have become a popular alternative to the singular mathematical black holes predicted by general relativity as they circumvent mathematical pathologies associated with the singularity while preserving crucial black hole…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Ioannis Soranidis

This paper investigates whether the framework of fractional quantum mechanics can broaden our perspective of black hole thermodynamics. Concretely, we employ a {\it space-fractional} derivative \cite{Rie} as our main tool. Moreover, we…

General Relativity and Quantum Cosmology · Physics 2021-07-27 S. Jalalzadeh , F. Rodrigues da Silva , P. V. Moniz

We investigate thermodynamics of a non-interacting quantum field in a static black hole background. The horizon divergences are regulated by the brick wall method, which consists of subjecting the quantum field to Dirichlet boundary…

High Energy Physics - Theory · Physics 2025-09-22 Emine Ertugrul , Levent Akant , Birses Debir

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

Electrically charged solutions for gravity with a conformally coupled scalar field are found in four dimensions in the presence of a cosmological constant. If a quartic self-interaction term for the scalar field is considered, there is a…

High Energy Physics - Theory · Physics 2008-11-26 Cristian Martinez , Juan Pablo Staforelli , Ricardo Troncoso

Although we know that black holes are characterized by a temperature and an entropy, we do not yet have a satisfactory microscopic ``statistical mechanical'' explanation for black hole thermodynamics. I describe a new approach that…

General Relativity and Quantum Cosmology · Physics 2016-01-27 S. Carlip

Black holes monopolize nowadays the center stage of fundamental physics. Yet, they are poorly understood objects. Notwithstanding, from their generic properties, one can infer important clues to what a fundamental theory, a theory that…

General Relativity and Quantum Cosmology · Physics 2008-04-05 José P. S. Lemos

We investigate, in the case of a Reissner-Nordstr\"om black hole, the definitions of gravitational energy and gravitational pressure that naturally arise in the framework of the Teleparallel Equivalent of General Relativity. In particular,…

General Relativity and Quantum Cosmology · Physics 2013-12-31 K. H. C. Castello-Branco , J. F. da Rocha-Neto

Thermodynamics of scalar fields is investigated in three dimensional black hole backgrounds in two approaches. One is mode expansion and direct computation of the partition sum, and the other is the Euclidean path integral approach. We…

High Energy Physics - Theory · Physics 2008-11-26 Ikuo Ichinose , Yuji Satoh

An important phase transition in black hole thermodynamics is associated with the divergence of the specific heat with fixed charge and angular momenta, yet one can demonstrate that neither Ruppeiner's entropy metric nor Weinhold's energy…

High Energy Physics - Theory · Physics 2010-12-17 Haishan Liu , H. Lu , Mingxing Luo , Kai-Nan Shao

In classical thermodynamics, irreversible processes are accomplished with an increase of entropy and a release of heat into the environment. In the case of black hole thermodynamics, instead, the increase of entropy is related with the…

General Relativity and Quantum Cosmology · Physics 2017-12-08 Arturo J. Gomez , Carlos Paiva

We develop a non-extensive thermodynamic framework for Reissner--Nordstr\"om black holes based on a near-horizon photon-gas model within Tsallis statistics. We derive the generalized Bekenstein--Hawking entropy based on such an approach,…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Phuwadon Chunaksorn , Ratchaphat Nakarachinda , Pitayuth Wongjun

For Rindler observers accelerating close to the horizon in local patches around a spacetime point, the matter-energy passing through the horizon increases the entropy and heat energy. Jacobson has showed that the Einstein equation can be…

General Relativity and Quantum Cosmology · Physics 2014-01-29 Swastik Bhattacharya

We present a unified framework for the discussion of black hole thermodynamics of $d$-dimensional static black holes with spherical, toroidal or compact hyperbolic horizon topology satisfying $g_{tt}g_{rr}=-1$ in Schwarzschild gauge. To…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Johanna Borissova

Many fundamental issues remain for black hole thermodynamics after almost half a century of its conception. For example, what are the underlying degrees of freedom of a black hole horizon that give rise to said thermodynamical properties?…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Yen Chin Ong

We consider the most general higher order corrections to the pure gravity action in $D$ dimensions constructed from the basis of the curvature monomial invariants of order 4 and 6, and degree 2 and 3, respectively. Perturbatively solving…

High Energy Physics - Theory · Physics 2008-11-26 Jerzy Matyjasek , Malgorzata Telecka , Dariusz Tryniecki

The thermodynamics of ``horizon brightened acceleration radiation'' (HBAR), due to a random atomic cloud freely falling into a black hole in a Boulware-like vacuum, is shown to mimic the thermodynamics of the black hole itself. The…

General Relativity and Quantum Cosmology · Physics 2025-01-03 A. Azizi , H. E. Camblong , A. Chakraborty , C. R. Ordonez , M. O. Scully

Working in a semi-classical setting, we consider solutions of the Einstein equations that exhibit light trapping in finite time according to distant observers. In spherical symmetry, we construct near-horizon quantities from the assumption…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Pravin K. Dahal , Fil Simovic , Ioannis Soranidis , Daniel R. Terno
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