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Thermodynamics of the Magnetic Black Hole in Four-Dimensional ESTGB Theory and Quantum Correction

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Abstract

In this paper, we ascertain the temperature and entropy of the magnetic black hole in four-dimensional ESTGB theory, and investigate the effects of generalized uncertainty principle (GUP) on standard thermodynamics of this black hole. For this purpose, we derive Hawking radiation for scalar particles and fermions in tunneling formalism by applying the Hamilton-Jacobi method and the semiclassical WKB approximation. We evalute the corrected thermodynamics quantities of the magnetic black hole to explore how the effect of quantum gravity changes the thermodynamic properties and evaporation of the black hole. We find logarithmic correction of the black hole entropy, remnants and phase transition phenomena of the black hole are also observed at the end of evaporation. The results show that GUP plays a important role in the end stage of the black hole evaporation. In addition, we compare the thermodynamic properties of the magnetic black hole and Reissner–Nordström (RN) black hole under the influence of GUP.

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Acknowledgments

This work was supported partly by the National Natural Science Foundation of China (Grant No. 12065013), the Fund for Reserve Talents of Young and Middle-aged Academic and Technical Leaders of Yunnan Province (Grant No. 2018HB006) and Yunnan High-level Talent Training Support Plan Young & Elite Talents Project (Grant No. YNWR-QNBJ-2018-360).

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Authors and Affiliations

  1. Faculty of Science, Kunming University of Science and Technology, Kunming, Yunnan, 650500, People’s Republic of China

    Zhi-Wen Lin, Yu Zhang, Qian Li & Chen Ma

  2. City College, Kunming University of Science and Technology, Kunming, Yunnan, 650051, People’s Republic of China

    Peng-Fei Duan

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  1. Zhi-Wen Lin
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  2. Yu Zhang
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  3. Qian Li
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Correspondence to Yu Zhang.

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Lin, ZW., Zhang, Y., Li, Q. et al. Thermodynamics of the Magnetic Black Hole in Four-Dimensional ESTGB Theory and Quantum Correction. Int J Theor Phys 61, 199 (2022). https://doi.org/10.1007/s10773-022-05169-9

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  • DOI: https://doi.org/10.1007/s10773-022-05169-9

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