https://doi.org/10.1140/epjp/s13360-020-00517-2
Regular Article
Thermodynamics and phase transition of spherically symmetric black hole in de Sitter space from Rényi statistics
1
Theoretical and Computational Physics Group, Theoretical and Computational Science Center (TaCS), Faculty of Science, King Mongkut’s University of Technology Thonburi, 126 Pracha Uthit Rd., Bang Mod, Thung Khru, 10140, Bangkok, Thailand
2
The Institute for Fundamental Study, Naresuan University, 65000, Phitsanulok, Thailand
3
Thailand Center of Excellence in Physics, Ministry of Higher Education, Science, Research and Innovation, 328 Si Ayutthaya Road, 10400, Bangkok, Thailand
4
Learning Institute, King Mongkut’s University of Technology Thonburi, 126 Pracha Uthit Rd., Bang Mod, Thung Khru, 10140, Bangkok, Thailand
Received:
26
February
2020
Accepted:
7
June
2020
Published online:
17
June
2020
Schwarzschild black holes in a de Sitter background are studied in terms of their thermodynamics based on the Rényi statistics. This leads to thermodynamically stable black hole configurations for some certain range of black hole radii; namely, within this range the corresponding black holes have positive heat capacity. Moreover, for a certain background temperature there can exist at most three configurations of black hole, one among which is thermodynamically stable. These configurations are investigated in terms of their free energies, resulting in the moderate-sized stable black hole configuration being the most preferred configuration. Furthermore, a specific condition on the Rényi non-extensive parameter is required if a given hot spacetime were to evolve thermally into the moderate-sized stable black hole.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
