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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

We investigate the universality of some features for the extremal phase transition of black holes and unify all the approaches which have been applied in different spacetimes. Unlike the other existing approaches where the information of…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Krishnakanta Bhattacharya , Sumit Dey , Bibhas Ranjan Majhi , Saurav Samanta

We study the thermodynamics of modified black holes proposed in the context of gravity's rainbow. A notion of intrinsic temperature and entropy for these black holes is introduced. In particular for a specific class of modified…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yi Ling , Xiang Li , Hongbao Zhang

The unusual asymptotic structure of the accelerating black holes led to ambiguity in their geometric characteristics and thermodynamic behavior. Motivated by the interesting properties of such black holes and the significant role of…

High Energy Physics - Theory · Physics 2021-08-20 Kh. Jafarzade , J. Sadeghi , B. Eslam Panah , S. H. Hendi

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 thermodynamic aspects of ordinary and lower dimensional noncommutative black holes within an extended anti-de Sitter phase space by treating the negative cosmological constant and the minimal cut-off length as thermodynamic…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Athanasios G. Tzikas

Under the framework of thermodynamics, the phase transition of the black hole is a general issue in general relativity. In this work, the phase transition of charged black holes is discussed carefully. The metric tensor of thermodynamics is…

General Physics · Physics 2024-05-09 Bobin Li

The Planck length and Planck energy should be taken as invariant scales are in agreement with various theories of quantum gravity. In this scenario, the original general relativity can be changed to the so-called gravity's rainbow which…

General Physics · Physics 2016-10-26 Zhong-Wen Feng , Shu-Zheng Yang , Hui-Ling Li , Xiao-Tao Zu

Recently, a morphological transition in the velocity distribution of a relativistic gas has been pointed out which shows hallmarks of a critical phenomenon. Here, we provide a general framework which allows for a thermodynamic approach to…

Statistical Mechanics · Physics 2015-10-21 Afshin Montakhab , Leila Shahsavar , Malihe Ghodrat

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

In this review we summarize, expand, and set in context recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a…

High Energy Physics - Theory · Physics 2014-01-28 Natacha Altamirano , David Kubiznak , Robert B. Mann , Zeinab Sherkatghanad

We investigate dyonic black holes in a weak field expansion of non-linear electrodynamics. The breadth of parameter space permits a rich thermodynamic structure, additional turning points and intricate phase phenomena. Energy conditions are…

High Energy Physics - Theory · Physics 2025-10-07 Lewis Croney , Ruth Gregory , Carlos J. Ramírez-Valdez

This research paper presents a black hole solution with a rational non-linear electrodynamics source in the Rastall gravity framework. The paper analyzes the thermodynamic properties of the solution in normal phase space and explores its…

General Relativity and Quantum Cosmology · Physics 2024-03-11 Yassine Sekhmani , Dhruba Jyoti Gogoi , Ratbay Myrzakulov , Javlon Rayimbaev

We discuss the thermodynamics of a general nonlinear electrodynamics (NLED) asymptotically flat black hole enclosed in a finite spherical cavity. A canonical ensemble is considered, which means that the temperature and the charge on the…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Peng Wang , Houwen Wu , Haitang Yang

This study investigates quantum-corrected black hole solutions derived from f(R) gravity and explores their thermodynamic properties using the canonical ensemble framework. By incorporating higher-order f(R) corrections into classical black…

General Physics · Physics 2024-10-10 Wen-Xiang Chen

A quantum system can undergo a continuous phase transition at the absolute zero of temperature as some parameter entering its Hamiltonian is varied. These transitions are particularly interesting for, in contrast to their classical finite…

Condensed Matter · Physics 2009-10-28 S. L. Sondhi , S. M. Girvin , J. P. Carini , D. Shahar

Using geomterothermodynamics (GTD), we investigate the phase transition of black hole in a metric independent way. We show that for any black hole, curvature scalar (of equilibrium state space geometry) is singular at the point where…

General Relativity and Quantum Cosmology · Physics 2017-02-03 Rabin Banerjee , Bibhas Ranjan Majhi , Saurav Samanta

We investigate the thermodynamics of Gauss-Bonnet black holes in asymptotically de Sitter spacetimes embedded in an isothermal cavity, via a Euclidean action approach. We consider both charged and uncharged black holes, working in the…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Sumarna Haroon , Robie A. Hennigar , Robert B. Mann , Fil Simovic

The phase structure and critical phenomena of the 3+1 dimensional charged black holes in asymptotically flat spacetime are investigated in terms of thermodynamic properties within the R\'enyi statistics. With this approach as the…

High Energy Physics - Theory · Physics 2020-09-16 Chatchai Promsiri , Ekapong Hirunsirisawat , Watchara Liewrian

In this paper, we study thermodynamics, quasi-normal modes and thermal fluctuations of a charged black hole with Weyl corrections. We first obtain thermodynamic quantities such as Hawking temperature, entropy, and heat capacity for…

General Relativity and Quantum Cosmology · Physics 2020-05-22 M. Sharif , Zunaira Akhtar