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In this work, we investigate the thermodynamic properties of black holes (BHs) that have non-trivial topological features in their phase diagrams. We consider three different models of BHs: (1) a class of BHs in dRGT massive gravity, which…

High Energy Physics - Theory · Physics 2024-09-10 Aqsa Mehmood , M. Umair Shahzad

We investigate the thermodynamic geometries of the most general static, spherically symmetric, topological black holes of the Ho\v{r}ava--Lifshitz gravity. In particular, we show that a Legendre invariant metric derived in the context of…

High Energy Physics - Theory · Physics 2015-05-27 Hernando Quevedo , Alberto Sanchez , Safia Taj , Alejandro Vazquez

The Ricci flow is a heat equation for metrics, which has recently been used to study the topology of closed three manifolds. In this paper we apply Ricci flow techniques to general relativity. We view a three dimensional asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Joseph Samuel , Sutirtha Roy Chowdhury

Even though, classically, a black holes is gravitational object, it can be treated as a thermodynamic object when quantum effect is taken into account. It is found that by using Gibbs-Boltzmann entropy, thermodynamic system associated…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Thanawat Anusonthi , Pitayuth Wongjun , Ratchaphat Nakarachinda

We investigate the thermodynamical properties of black holes in (3+1) and (2+1) dimensional Einstein gravity with a negative cosmological constant. In each case, the thermodynamic internal energy is computed for a finite spatial region that…

General Relativity and Quantum Cosmology · Physics 2009-10-22 J. D. Brown , J. Creighton , R. B. Mann

The black hole singularity problem was proposed by Hawking and Penrose, and regular black holes serve as an important class of models to address this issue. However, the study of regular black hole thermodynamics has long faced a…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Qi-Quan Li , Yu Zhang , Hoernisa Iminniyaz

In this paper, we determine thermodynamical quantities for one kind of higher dimensional black holes. We take two charged and neutral blackfold which are higher dimension. We investigate the thermodynamical properties of such black hole at…

High Energy Physics - Theory · Physics 2017-11-08 Z. Amoozad , J. Sadeghi

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

This talk gives a brief introduction to black hole horizons and their role in black hole thermodynamics. In particular a distinction is made between quasi-locally defined horizons and event horizons. Currently some new techniques have led…

General Relativity and Quantum Cosmology · Physics 2007-11-05 Alex B. Nielsen

In this article, we explore the RN black hole under f(R) gravity and its thermodynamic properties. We begin by examining the small fluctuations around the equilibrium state and summarizing the expression for the modified thermodynamic…

General Physics · Physics 2025-12-01 Wen-Xiang Chen , Yao-Guang Zheng

A model of nonlinear electrodynamics is proposed and investigated in general relativity. We consider the magnetic black hole and find a regular solution which gives corrections into the Reissner-Nordstr\"{o}m solution. At…

General Physics · Physics 2018-03-07 S. I. Kruglov

The Vaidya metric serves as a useful model-building tool that captures many essential features of dynamical and/or evaporating black hole spacetimes. Working in a semiclassical setting, we show that in the limit of slow evaporation, a…

General Relativity and Quantum Cosmology · Physics 2023-04-25 Pravin Kumar Dahal , Fil Simovic

Black holes pose great difficulties for theory since gravity and quantum theory must be combined in some as yet unknown way. An additional difficulty is that detailed black hole observational data to guide theorists is lacking. In this…

General Relativity and Quantum Cosmology · Physics 2018-08-22 George Ruppeiner

It is developed a Riemannian reformulation of classical statistical mechanics for systems in thermodynamic equilibrium, which arises as a natural extension of Ruppeiner geometry of thermodynamics. The present proposal leads to interpret…

Statistical Mechanics · Physics 2010-11-19 L Velazquez

In this work, we investigate the thermodynamic properties and quasinormal modes of a regular Dymnikova-Letelier black hole. Starting from the Einstein field equations sourced by an effective anisotropic fluid, we analyze the resulting…

General Relativity and Quantum Cosmology · Physics 2026-05-27 L. C. N. Santos , L. G. Barbosa

We are entering a new era to test the strong gravity regime around astrophysical black holes. The possibility that they are actually horizonless ultracompact objects and then free from the information loss paradox can be examined more…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Jing Ren

In this paper, we derive a black hole solution within the Einstein Maxwell framework incorporating a nonminimal coupling between the Ricci tensor and the Maxwell field strength tensor, using a perturbative approach. We subsequently explore…

High Energy Physics - Theory · Physics 2026-05-25 Mehdi Sadeghi , Faramarz Rahmani

In this paper, we study the thermodynamics and phase transition of a BTZ black hole in a finite space region, namely a cavity. By imposing a temperature-fixed boundary condition on the wall of the cavity and evaluating the Euclidean action,…

General Relativity and Quantum Cosmology · Physics 2022-08-25 Yuchen Huang , Jun Tao

In this work, we obtain the thermodynamic geometry of the extended black hole solution under f(R) gravity. This is the foundation of our work. We also obtain the exact form of the f(R) model for some solutions. In the thermodynamic…

General Relativity and Quantum Cosmology · Physics 2022-03-28 Wen-Xiang Chen , Yao-Guang Zheng

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