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Phase transition and entropy correction of a quantum correction black hole close to Planck scale

  • Hui-Ling LiEmail author
  • De-Wen Song
  • Wei Li
Letter
  • 36 Downloads

Abstract

By using quantum tunneling radiation method and generalized uncertainty principle (GUP), we discuss phase transition and modified entropy of a quantum corrected Schwarzschild black hole. Notably, the phase transition occurs when the size of black hole is of the order of the Planck scale, which indicates that GUP has a great effect on the thermodynamics. It can prevent the black hole from evaporating completely, resulting in a stable remnant. Besides, the modified entropy is also discussed by imposing GUP. After analyzing the relation between temperature and entropy, we can find that GUP also results in the existence of the minimum of entropy.

Keywords

Generalized uncertainty principle Phase transition Modified entropy 

Notes

Acknowledgements

This work is supported in part by the National Natural Science Foundation of China (Grant No. 11703018) and Natural Science Foundation of Liaoning Province, China (Grant No. 20180550275).

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.College of Physics Science and TechnologyShenyang Normal UniversityShenyangChina

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