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In this paper, we use the generalized off-shell Helmholtz free energy method to explore the thermodynamic properties of Bardeen black holes (BD BHs) from a topological perspective based on Duan's topological current $\phi$-mapping. We…

High Energy Physics - Theory · Physics 2023-06-26 Jafar Sadeghi , Saeed Noori Gashti , Mohammad Reza Alipour , Mohammad Ali S. Afshar

The Bardeen black hole solution is the first spherically symmetric regular black hole based on the Sakharov and Gliner proposal which is a modification of the Schwarzschild black hole. We present the Bardeen black hole solution in the…

High Energy Physics - Theory · Physics 2022-01-17 R P Singh , B K Singh , R K Gupta , Shobhit Sachan

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

In this work, we scrutinize the thermodynamic properties of the Simpson-Visser (SV) spacetime. Working within Einstein gravity coupled to nonlinear electrodynamics (NLED) and a scalar field with negative kinetic energy, we rederive the…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Thanasis Karakasis , Emmanuel N. Saridakis , Zi-Yu Tang

We carry quantum (thermal) corrections to the thermodynamics of regular black holes in detail. Firstly, we discuss the non-extended phase space thermodynamics of regular black holes. We obtain expressions for various thermodynamic…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Yawar H. Khan , P. A. Ganai

In a generalized parameter space, regular black holes can be regarded as non-singular solutions under specific parameters in Einstein gravity theory coupled with non-linear electromagnetic fields. Following this concept, we investigate the…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Shan-Ping Wu , Shao-Wen Wei

In this paper, thermodynamics and phase transition are investigated for the regular Bardeen black hole. Considering the metric of the Bardeen spacetime, we derived the Unruh-Verlinde temperature. Using the first law of thermodynamics, we…

General Relativity and Quantum Cosmology · Physics 2018-06-13 Mahamat Saleh , Bouetou Bouetou Thomas , Kofané Timoléon Crépin

Violation of Lorentz invariancy in the high energy quantum gravity motivates one to consider an energy dependent spacetime with massive deformation of standard general relativity. In this paper, we take into account an energy dependent…

General Relativity and Quantum Cosmology · Physics 2017-04-07 S. H. Hendi , B. Eslam Panah , S. Panahiyan

We investigate the thermodynamic properties of the Hayward regular black hole using both Euclidean path integral and Hamiltonian methods, in asymptotically anti-de Sitter, Minkowski, and de Sitter spacetimes. With the inclusion of matter…

General Relativity and Quantum Cosmology · Physics 2024-03-04 Fil Simovic , Ioannis Soranidis

We represent a new approach to exploring the thermodynamic topology of black holes, without introducing the nonphysical variable $\Theta\in[0,\pi]$ considered in previous studies, where black holes can exchange both energy and matter with…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Cao H. Nam

We study the thermodynamics of a class of four-dimensional black hole solutions arising from the compactification of a higher-curvature gravity theory featuring an infinite tower of Lovelock-type invariants. For planar horizons, we identify…

General Relativity and Quantum Cosmology · Physics 2025-05-30 Adolfo Cisterna , Mokhtar Hassaine , Ulises Hernandez-Vera

In this paper we study the thermodynamics and state space geometry of regular black hole solutions such as Bardeen black hole, Ay\'{o}n-Beato and Garc\'{i}a black hole, Hayward black hole and Berej-Matyjasek-Trynieki-Wornowicz black hole.…

General Relativity and Quantum Cosmology · Physics 2015-06-22 R. Tharanath , Jishnu Suresh , V. C. Kuriakose

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

Thermodynamics of Bardeen AdS black holes has attracted a great deal of attentions due to its intrinsic complications and rich phase structures. However, the entropy and thermodynamic volume are incorrect in some literatures. In this paper…

General Relativity and Quantum Cosmology · Physics 2022-05-24 Yang Guo , Yan-Gang Miao

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 topology of regular black holes with zero-point length using an extended first law that includes the zero-point length stored in the geometry. By treating the regularization scale $l_0$ as a thermodynamic…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Ankit Anand , Kimet Jusufi , Cosimo Bambi

In this work, employing the generalized off-shell free energy, we treat black hole solutions as defects in the thermodynamic parameter space. The results show that the positive and negative winding numbers corresponding to the defects…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Shao-Wen Wei , Yu-Xiao Liu , Robert B. Mann

Among the study of black hole thermodynamics, topology offers a novel approach and perspective for classifying black hole systems. In this work, we explore the thermodynamical topology of the quantum BTZ black hole by employing the concept…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Shan-Ping Wu , Shao-Wen Wei

In this paper, we examine the effects of space noncommutativity on the thermodynamics of a Bardeen charged regular black hole. For a suitable choice of sets of parameters, the behavior of the singularity, horizon, mass function, black hole…

General Relativity and Quantum Cosmology · Physics 2015-05-30 M. Sharif , Wajiha Javed

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
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