Thermodynamics in a quantum corrected Reissner—Nordström—AdS black hole and its GUP-corrections

doi:10.1088/1674-1056/ad1a8a

中国物理B ›› 2024, Vol. 33 ›› Issue (4): 40402-040402.doi: 10.1088/1674-1056/ad1a8a

Thermodynamics in a quantum corrected Reissner—Nordström—AdS black hole and its GUP-corrections

Jian-Jun Song(宋建君) and Cheng-Zhou Liu(刘成周)^†

Department of Physics, Shaoxing University, Shaoxing 312000, China

收稿日期:2023-10-10 修回日期:2023-12-08 接受日期:2024-01-04 出版日期:2024-03-19 发布日期:2024-03-22
通讯作者: Cheng-Zhou Liu E-mail:czlbj20@163.com
基金资助:
Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant No. LY14A030001).

Thermodynamics in a quantum corrected Reissner—Nordström—AdS black hole and its GUP-corrections

Jian-Jun Song(宋建君) and Cheng-Zhou Liu(刘成周)^†

Department of Physics, Shaoxing University, Shaoxing 312000, China

Received:2023-10-10 Revised:2023-12-08 Accepted:2024-01-04 Online:2024-03-19 Published:2024-03-22
Contact: Cheng-Zhou Liu E-mail:czlbj20@163.com
Supported by:
Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant No. LY14A030001).

摘要/Abstract

摘要： We calculate the thermodynamic quantities in the quantum corrected Reissner—Nordström—AdS (RN-AdS) black hole, and examine their quantum corrections. By analyzing the mass and heat capacity, we give the critical state and the remnant state, respectively, and discuss their consistency. Then, we investigate the quantum tunneling from the event horizon of massless scalar particle by using the null geodesic method, and charged massive boson W^± and fermions by using the Hamilton—Jacob method. It is shown that the same Hawking temperature can be obtained from these tunneling processes of different particles and methods. Next, by using the generalized uncertainty principle (GUP), we study the quantum corrections to the tunneling and the temperature. Then the logarithmic correction to the black hole entropy is obtained.

关键词: black hole thermodynamics, quantum corrections, quantum tunneling, generalized uncertainty principle

Abstract: We calculate the thermodynamic quantities in the quantum corrected Reissner—Nordström—AdS (RN-AdS) black hole, and examine their quantum corrections. By analyzing the mass and heat capacity, we give the critical state and the remnant state, respectively, and discuss their consistency. Then, we investigate the quantum tunneling from the event horizon of massless scalar particle by using the null geodesic method, and charged massive boson W^± and fermions by using the Hamilton—Jacob method. It is shown that the same Hawking temperature can be obtained from these tunneling processes of different particles and methods. Next, by using the generalized uncertainty principle (GUP), we study the quantum corrections to the tunneling and the temperature. Then the logarithmic correction to the black hole entropy is obtained.

Key words: black hole thermodynamics, quantum corrections, quantum tunneling, generalized uncertainty principle

中图分类号: (Phenomenology of quantum gravity)

04.60.Bc

04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics)

Jian-Jun Song(宋建君) and Cheng-Zhou Liu(刘成周). Thermodynamics in a quantum corrected Reissner—Nordström—AdS black hole and its GUP-corrections[J]. 中国物理B, 2024, 33(4): 40402-040402.

Jian-Jun Song(宋建君) and Cheng-Zhou Liu(刘成周). Thermodynamics in a quantum corrected Reissner—Nordström—AdS black hole and its GUP-corrections[J]. Chin. Phys. B, 2024, 33(4): 40402-040402.

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Thermodynamics in a quantum corrected Reissner—Nordström—AdS black hole and its GUP-corrections

Thermodynamics in a quantum corrected Reissner—Nordström—AdS black hole and its GUP-corrections

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