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We present exact spherical black hole solutions in de Rham, Gabadadze and Tolley (dRGT) massive gravity for a generic choice of the parameters in the theory, and also discuss the thermodynamical and phase structure of the black hole in both…

General Relativity and Quantum Cosmology · Physics 2016-03-16 Sushant G. Ghosh , Lunchakorn Tannukij , Pitayuth Wongjun

We find an exact spherically symmetric regular Bardeen-like solutions by considering the coupling between Einstein-Gauss-Bonnet theory and nonlinear electrodynamics (NED) in five-dimensional spacetime. These solutions, with an additional…

General Relativity and Quantum Cosmology · Physics 2019-11-26 Dharm Veer Singh , Sushant G. Ghosh , Sunil D. Maharaj

We derive an exact solution of the spherically symmetric Bardeen black hole surrounded by perfect fluid dark matter (PFDM). By treating the magnetic charge $g$ and dark matter parameter $\alpha$ as thermodynamic variables, we find that the…

General Relativity and Quantum Cosmology · Physics 2021-05-26 He-Xu Zhang , Yuan Chen , Tian-Chi Ma , Peng-Zhang He , Jian-Bo Deng

Neves and Saa introduced a two parameter spacetime that includes the Hayward, Bardeen, and Simpson-Visser geometries as particular cases. In this work, we employ the generalized off-shell Helmholtz free energy method to investigate the…

General Relativity and Quantum Cosmology · Physics 2026-05-22 A. A. M. Silva , M. H. Macedo , R. R. Landim

In this work we research on the thermodynamical properties of the Bardeen black holes. We compute the series of new thermodynamic quantities such as local temperature, heat capacity, off-shell free energy of this kind of black hole in…

High Energy Physics - Theory · Physics 2015-06-15 Jingyun Man , Hongbo Cheng

Bardeen regular black hole is commonly considered as a solution of general relativity coupled to a nonlinear electrodynamics. In this paper, it is shown that the Bardeen solution may be interpreted as a quantum-corrected Schwarzschild black…

General Relativity and Quantum Cosmology · Physics 2018-12-06 R. V. Maluf , Juliano C. S. Neves

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 have obtained a new exact regular black hole solution for the EGB gravity coupled with nonlinear electrodynamics in AdS space. The numerical analysis of horizon structure suggests two horizons exist: Cauchy and event. We also study the…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Amit Kumar , Dharm Veer Singh , Yerlan Myrzakulov , Gulmira Yergaliyeva , Sudhaker Upadhyay

We obtain exact Bardeen black holes to the regularized $4D$ Einstein--Gauss--Bonnet (EGB) gravity minimally coupled with the nonlinear electrodynamics (NED). In turn, we analyze the horizon structure to determine the effect of GB parameter…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Arun Kumar , Rahul Kumar Walia , Sushant G. Ghosh

We obtain an exact spherically symmetric and magnetically charged black hole solution in 4D Einstein-Gauss-Bonnet gravity coupled with nonlinear electrodynamics with the Lagrangian ${\cal L}_{NED} = -{\cal F}/(1+\sqrt{2\mid\beta{\cal…

General Relativity and Quantum Cosmology · Physics 2021-04-19 S. I. Kruglov

We obtain an exact spherically symmetric and magnetically charged black hole solution in 4D Einstein-Gauss-Bonnet gravity coupled with rational nonlinear electrodynamics. The thermodynamics of our model is studied. We calculate the Hawking…

General Physics · Physics 2021-06-02 S. I. Kruglov

In this paper, we discuss remnants of the Bardeen regular black hole motivated by using the concept of thermal fluctuations. First, we derive the equilibrium values of various thermodynamic quantities like entropy, Hawking temperature,…

General Relativity and Quantum Cosmology · Physics 2021-09-14 Yawar H. Khan , Sudhaker Upadhyay , Prince A. Ganai

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

We study the thermodynamic properties of Schwarzschild-de Sitter (SdS) black hole and Reissner-Nordstr\"{o}m-de Sitter (RNdS) black hole in the view of global and effective thermodynamic quantities. Making use of the effective first law of…

High Energy Physics - Theory · Physics 2017-01-25 Huai-Fan Li , Meng-Sen Ma , Ya-Qin Ma

In this work we obtain a static spherically symmetric charged black hole solution in the framework of minimal Horndeski gravity with additional Maxwell and Yang-Mills fields. The obtained solution is examined, in particular its asymptotics…

High Energy Physics - Theory · Physics 2023-09-27 M. M. Stetsko

Black holes are the fascinating objects in the universe. They represent extreme deformations in spacetime geometry. Here, we construct f(P) gravity and the first example of static-spherically symmetric black hole solution in f(P) gravity…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Aniruddha Ghosh , Ujjal Debnath

In this article, we present a study on thermodynamics of a class of regular black holes. Such a class includes Bardeen and Hayward regular black holes. We obtained thermodynamic quantities like the Hawking temperature, entropy, and heat…

General Relativity and Quantum Cosmology · Physics 2018-05-15 R. V. Maluf , Juliano C. S. Neves

In this work we analyze a solution that mimics the Bardeen solution with a cosmological constant surrounded by quintessence. We show that this solution can be obtained by Einstein equations coupled with nonlinear electrodynamics. We also…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Manuel E. Rodrigues , Marcos V. de S. Silva , Henrique A. Vieira

This paper presents an exact solution of Bardeen black hole in presence of massive gravity, which is characterized by the additional parameter $m$. Here, we focus on $4D$ Bardeen AdS massive black hole solutions as example to discuss the…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Benoy Kumar Singh , Raj Pal Singh , Dharm Veer Singh

In this paper, we study the quantum corrections to the thermodynamical quantities (temperature and entropy) for a Bardeen charged regular black hole by using a quantum tunneling approach over semiclassical approximations. Taking into…

General Relativity and Quantum Cosmology · Physics 2015-05-19 M. Sharif , Wajiha Javed
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