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The Euler-Heisenberg black holes with quantum electrodynamics (QED) correction are embraced by a cavity in this paper, which serves as a boundary of the black hole spacetime and contributes to the equilibrium of the system. We explore the…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Qin Yu , Qi Xu , Jun Tao

Thermodynamical topology has emerged as a powerful framework for classifying the thermodynamical behavior of black holes. Three distinct yet complementary topological invariants have been employed to characterize black hole phases, spinodal…

High Energy Physics - Theory · Physics 2025-08-05 Shan-Ping Wu , Si-Jiang Yang , Shao-Wen Wei

Geometrical properties of the extreme Kerr black holes in the topological sectors of nonextreme and extreme configurations are studied. We find that the Euler characteristic plays an essential role to distinguish these two kinds of extreme…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Bin Wang , Ru-Keng Su , P. K. N. Yu

In this work, we present a convenient method to perform the topological analysis of black hole thermodynamics. Utilizing the spinodal curve, thermodynamic critical points of a black hole are endowed with a topological quantity, Brouwer…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Ning-Chen Bai , Lei Li , Jun Tao

In this paper, we examine the thermodynamic geometry of four-dimensional quasi-topological black holes by computing the Ruppeiner scalar curvature R which serves as an empirical tool to describe the nature of interactions among black hole…

General Relativity and Quantum Cosmology · Physics 2025-08-18 Apurba Tiwari , Randeep Kaur , Aruri Devaraju , Jaya Prakash Kode , Apparao Damarasingu , Silamanthula Hari Krishna , Akshay Gharat

Considering a nonlinear charged black hole as a thermodynamics system, we study the geometric description of its phase transitions. Using the formalism of geometrothermodynamics we show that the geometry of the space of thermodynamic…

Mathematical Physics · Physics 2014-04-28 Gustavo Arciniega , Alberto Sánchez

This work mainly focuses on the nonlinear Einstein-Euler-Heisenberg theory and its applications from various aspects. Firstly, thermodynamic variables are analytically determined via Smarr formula for a four dimensional spherically…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Huriye Gürsel , Mert Mangut , Erdem Sucu

In this work we determine that the Hawking temperature of black holes possesses a purely topological nature. We find a very simple but powerful formula, based on a topological invariant known as the Euler characteristic, which is able to…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Charles W. Robson , Leone Di Mauro Villari , Fabio Biancalana

The topology of black hole thermodynamics is a fascinating area of study that explores the connections between thermodynamic properties and topological features of black holes. We successfully derive the field equations for…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Yassine Sekhmani , Saeed Noori Gashti , Mohammad Ali S. Afshar , Mohammad Reza Alipour , Jafar Sadeghi , Behnam Pourhassan , Javlon Rayimbaev

We study thermodynamical structure of Einstein black holes in the presence of power Maxwell invariant nonlinear electrodynamics for two different cases. The behavior of the temperature and conditions regarding the stability of these black…

High Energy Physics - Theory · Physics 2017-06-13 S. H. Hendi , B. Eslam Panah , S. Panahiyan , M. S. Talezadeh

In this paper, we consider three types (static, static charged and rotating charged) of black holes in f(R) gravity. We study the thermodynamical behavior, stability conditions and phase transition of these black holes. It will be shown…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Saheb Soroushfar , Reza Saffari , Negin Kamvar

We investigate the thermodynamics, topology, and geometry of black holes in Lorentz-violating gravity. Modifications in the theory by perturbative parameter lead to coupled changes in horizon structure and thermodynamic behaviour, allowing…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Ankit Anand , Aditya Singh , Anshul Mishra , Saeed Noori Gashti , Takol Tangphati , Phongpichit Channuie

We present a systematic investigation of the thermodynamic topology for a broad class of asymptotically charged Anti-de Sitter (AdS) black holes in Einstein-Maxwell-Dilaton (EMD) theories, examining how scalar coupling parameters and…

High Energy Physics - Theory · Physics 2025-09-09 H. Babaei-Aghbolagh , Habib Esmaili , Song He , Hosein Mohammadzadeh

In this work we study thermodynamics of 2+1-dimensional static black holes with a nonlinear electric field. Besides employing the standard thermodynamic approach, we investigate the black hole thermodynamics by studying its thermodynamic…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Mauricio Cataldo , P. A. González , Joel Saavedra , Yerko Vázquez , Bin Wang

In this paper, we explore two $f(R,T)$ gravity models and derive black hole solutions within these models. We focus on investigating how the $f(R,T)$ model influences the thermodynamic characteristics of black holes by studying their…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Bidyut Hazarika , Prabwal Phukon

We use the Legendre invariant formalism of geometrothermodynamics to investigate the geometric properties of the equilibrium space of a spherically symmetric phantom black hole with electric charge and dilaton. We find that at certain…

General Relativity and Quantum Cosmology · Physics 2016-08-24 H. Quevedo , M. N. Quevedo , A. Sanchez

One of the new methods that can be used to study the thermodynamics critical points of a system based on a topological approach is the study of topological charges using Duan's $\phi$-mapping method. In this article, we will attempt to use…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Mohammad Reza Alipour , Mohammad Ali S. Afshar , Saeed Noori Gashti , Jafar Sadeghi

In this paper, we study the properties of the (2+1)-dimensional black holes from the viewpoint of geometrothermodynamics. We show that the Legendre invariant metric of the (2+1)-dimensional black holes can produce correctly the behavior of…

General Relativity and Quantum Cosmology · Physics 2015-06-05 YiWen Han , Gang Chen

In this paper, we apply the thermodynamic topology framework to ultraspinning Kerr-AdS black holes in arbitrary spacetime dimensions. By constructing the off-shell Helmholtz free energy and the associated vector field, black hole states are…

High Energy Physics - Theory · Physics 2026-02-06 Min Tian , Ying Chen , Di Wu

We assume the validity of the Bekenstein-Hawking entropy, as given in terms of the horizon area of the Bardeen regular black hole, and consider it as the fundamental thermodynamic equation. We derive and investigate the behavior of the main…

General Relativity and Quantum Cosmology · Physics 2025-02-10 H. Quevedo , M. N. Quevedo , A. Sanchez
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