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We study black hole phase transitions in (deformed) Ho\v{r}ava-Lifshitz (H-L) gravity, including the charged black hole and KS black hole. Stability of black holes in H-L gravity and the phase transition signals are investigated. The Ricci…

High Energy Physics - Theory · Physics 2011-03-21 Qiao-Jun Cao , Yi-Xin Chen , Kai-Nan Shao

We study the thermodynamic properties of the Reissner-Nordstr\"om black hole with cosmological constant, expressed in terms of the curvature radius, by using the approach of shadow thermodynamics and the formalism of geometrothermodynamics.…

General Relativity and Quantum Cosmology · Physics 2024-07-03 Jose M. Ladino , Carlos E. Romero-Figueroa , Hernando Quevedo

The present paper is aimed to study thermodynamical properties of phase transition for regular charged black holes. In this context, we have considered two different forms of black hole metrics supplemented with exponential and logistic…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Wajiha Javed , Z. Yousaf , Zunaira Akhtar

We apply the formalism of geometrothermodynamics to the case of black holes with cosmological constant in four and higher dimensions. We use a thermodynamic metric which is invariant with respect to Legendre transformations and determines…

High Energy Physics - Theory · Physics 2009-12-10 Hernando Quevedo , Alberto Sanchez

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

In addition to curvature singularities, electrovacuum black holes in general relativity exhibit thermodynamic singularities. These so-called Davies' points occur at nonextremal values of charge and spin where the heat capacity diverges and…

General Relativity and Quantum Cosmology · Physics 2025-08-18 Arthur G. Suvorov , Pedro Bargueño

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 present work delves into examining the thermodynamic properties of the four-dimensional Kerr-Newmann-AdS black hole, employing the recently proposed framework of restricted phase space thermodynamics (RPST). This approach introduces a…

High Energy Physics - Theory · Physics 2024-08-13 Pabitra Tripathy

We study the thermodynamics and geometrothermodynamics of different black hole configurations in more than four spacetime dimensions. We find the conditions under which second order phase transitions occur in higher-dimensional static…

General Relativity and Quantum Cosmology · Physics 2013-11-19 Alessandro Bravetti , Davood Momeni , Ratbay Myrzakulov , Hernando Quevedo

The thermodynamics for Kerr-AdS black hole in four dimensions is revisited using the recently proposed restricted phase space formalism, which includes the central charge $C$ of the dual CFT and the chemical potential $\mu$, but excludes…

High Energy Physics - Theory · Physics 2022-02-08 Zeyuan Gao , Xiangqing Kong , Liu Zhao

Thermodynamics of rotating black holes described by the R\'enyi formula as equilibrium and zeroth law compatible entropy function is investigated. We show that similarly to the standard Boltzmann approach, isolated Kerr black holes are…

General Relativity and Quantum Cosmology · Physics 2017-12-29 Viktor G. Czinner , Hideo Iguchi

In the present study, we investigate the topological properties of black holes in terms of R\'{e}nyi statistics as an extension of the Gibbs-Boltzmann (GB) statistics, aiming to characterize the non-Boltzmannian thermodynamic topology of…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Meng-Yao Zhang , Hao Chen , Hassan Hassanabadi , Zheng-Wen Long , Hui Yang

In this paper we show that the vanishing of the scalar curvature of Ruppeiner-like metrics does not characterize the ideal gas. Furthermore, we claim through an example that flatness is not a sufficient condition to establish the absence of…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Miguel Á. García-Ariza , Merced Montesinos , Gerardo F. Torres del Castillo

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

The thermodynamics of black holes provides a profound link between gravity, quantum theory and statistical mechanics. It serves as a useful tool for testing theories beyond Einstein's gravity. In this work of ours, we investigate the newly…

High Energy Physics - Theory · Physics 2026-02-16 Amijit Bhattacharjee , Prabwal Phukon

We explore a formulation of thermodynamic geometry of black holes and prove that the divergent points of the specific heat correspond exactly to the singularities of the thermodynamic curvature. We investigate this correspondence for…

General Relativity and Quantum Cosmology · Physics 2014-02-06 Seyed Ali Hosseini Mansoori , Behrouz Mirza

We present a review of the main aspects of geometrothermodynamics, an approach which allows us to associate a specific Riemannian structure to any classical thermodynamic system. In the space of equilibrium states, we consider a Legendre…

Mathematical Physics · Physics 2011-04-11 Hernando Quevedo , Alejandro Vazquez

In this work we present a simple, approximate method for analysis of the basic dynamical and thermodynamical characteristics of Kerr-Newman black hole. Instead of the complete dynamics of the black hole self-interaction we consider only…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Vladan Pankovic , Sima Ciganovic , Rade Glavatovic

This article investigates 3D charged black holes within the scope of f(R) gravity, focusing on their thermodynamic attributes. The research primarily examines minor fluctuations around these black holes' equilibrium states and delves into…

General Physics · Physics 2024-08-08 Wen-Xiang Chen , Yao-Guang Zheng

In this paper, we study the thermodynamics and geothermodynamics of spherical black hole solutions in dRGT massive gravity in a new extended phase space. Inspired by the work of Kastor et al. [1], by interpreting the graviton mass as a…

High Energy Physics - Theory · Physics 2019-05-01 M. Chabab , H. El Moumni , S. Iraoui , K. Masmar