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In this work we construct several black hole metrics which are consistent with the generalized uncertainty principle logarithmic correction to the Bekenstein-Hawking entropy formula. After preserving the event horizon at the usual position,…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Ernesto Contreras , Fabián D. Villalba , Pedro Bargueño

Recently, there has been a lot of attention devoted to resolving the quantum corrections to the Bekenstein-Hawking entropy of the black hole. In particular, the coefficient of the logarithmic term in the black hole entropy correction has…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zhao Ren , Zhao Hai-Xia , Hu Shuang-Qi

In this work, starting by simple, approximate (quasi-classical) methods presented in our previous works, we suggest a simple determination of the (logarithmic) corrections of (Schwarzschild) black hole entropy "without knowing the details…

General Relativity and Quantum Cosmology · Physics 2008-10-07 Vladan Pankovic , Simo Ciganovic , Jovan Ivanovic

We present a class of exact analytic and static, spherically symmetric black hole solutions in the semi-classical Einstein equations with Weyl anomaly. The solutions have two branches, one is asymptotically flat and the other asymptotically…

High Energy Physics - Theory · Physics 2010-04-30 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta

As one of candidate theories in the construction of regular black holes, Einstein's gravity coupled with nonlinear electrodynamics has been a topic of great concerns. Owing to the coupling between Einstein's gravity and nonlinear…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Yang Guo , Hao Xie , Yan-Gang Miao

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

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking entropy of the black hole. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic…

General Relativity and Quantum Cosmology · Physics 2009-03-19 Zhao Hai-Xia , Li Huai-Fan , Hu Shuang-Qi , Zhao Ren

Using quantum tunneling approach, we are able to derive the entropy with logarithmic term of the static spherically symmetric black hole in semi-classical Einstein equations with conformal anomaly. The results indicate that the logarithmic…

General Relativity and Quantum Cosmology · Physics 2011-12-19 Ran Li

We consider the thermodynamic properties of the constant curvature black hole solution recently found by Banados. We show that it is possible to compute the entropy and the quasilocal thermodynamics of the spacetime using the…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Jolien D. E. Creighton , Robert B. Mann

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

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking (black hole) entropy, which relates the entropy to the cross-sectional area of the black hole horizon. Using generalized…

General Relativity and Quantum Cosmology · Physics 2015-03-30 Abdel Nasser Tawfik , Eiman Abou El Dahab

The Bekenstein-Hawking entropy satisfies the generalized second law of black hole thermodynamics for arbitrary thermodynamic evolution within Einstein-Maxwell theory. In contrast, the black hole entropy that satisfies the second law in…

General Relativity and Quantum Cosmology · Physics 2025-04-16 Xin-Yang Wang , Jie Jiang

We show that essentially pure classical thermodynamics is sufficient to determine Bekenstein's formula for the black hole's entropy, $S=\eta A$. We base our reasoning on the minimal assumption that since black body radiation is describable…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Gilad Gour , Avraham E. Mayo

We show that the Bekenstein-Hawking entropy associated with any black hole undergoes logarithmic corrections when small thermodynamic fluctuations around equilibrium are taken into account. Thus, the corrected expression for black hole…

High Energy Physics - Theory · Physics 2007-05-23 Saurya Das

A regular static, spherically symmetric electrically charged black hole solution of general relativity coupled to a new theory for nonlinear electrodynamics is presented. This theory has the interesting feature that, at far distances from…

High Energy Physics - Theory · Physics 2021-08-27 Mohammad Bagher Jahani Poshteh , Nematollah Riazi

We study a self-consistent solution of the semi-classical Einstein equation including the back reaction from the Hawking radiation. Our geometry is constructed by connecting flat space and the outgoing Vaidya metric at the locus of the…

High Energy Physics - Theory · Physics 2015-06-04 Hikaru Kawai , Yoshinori Matsuo , Yuki Yokokura

Einstein's equation could be interpreted as the first law of thermodynamic near the spherically symmetric horizon. Through recalling the Einstein gravity with a more general static spherical symmetric metric, we find that the entropy would…

General Relativity and Quantum Cosmology · Physics 2018-03-13 Miao He , Zi-Liang Wang , Chao Fang , Dao-Quan Sun , Jian-Bo Deng

We investigate the effects of the Einstein cubic gravity (ECG) on regular black hole solutions driven by nonlinear electrodynamics (NLE) sources. The ECG tends to form a naked singularity at the origin for a high ECG coupling constant.…

General Relativity and Quantum Cosmology · Physics 2023-05-30 L. A. Lessa , J. E. G. Silva

We obtain a magnetically charged regular black hole in general relativity. The source to the Einstein field equations is nonlinear electrodynamic field in a physically reasonable model of nonlinear electrodynamics (NED). "Physically" here…

General Relativity and Quantum Cosmology · Physics 2015-09-21 Meng-Sen Ma

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
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