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Chin. Phys. B, 2024, Vol. 33(4): 040402    DOI: 10.1088/1674-1056/ad1a8a
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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
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.
Keywords:  black hole thermodynamics      quantum corrections      quantum tunneling      generalized uncertainty principle  
Received:  10 October 2023      Revised:  08 December 2023      Accepted manuscript online:  04 January 2024
PACS:  04.60.Bc (Phenomenology of quantum gravity)  
  04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics)  
Fund: Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant No. LY14A030001).
Corresponding Authors:  Cheng-Zhou Liu     E-mail:  czlbj20@163.com

Cite this article: 

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 2024 Chin. Phys. B 33 040402

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