https://doi.org/10.1140/epjc/s10052-019-7463-3
Regular Article - Theoretical Physics
Thermodynamics of the Schwarzschild and Reissner–Nordström black holes under the Snyder–de Sitter model
1
Faculty of Physics, Shahrood University of Technology, Shahrood, 3619995161-316, Iran
2
Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju, 660-701, Korea
3
Faculté Saint-Jean, University of Alberta, Edmonton, T6C 4G9, Canada
4
Department of Physics, Faculty of Science, Lorestan University, Khoramabad, Iran
5
Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box: 55134-441, Maragha, Iran
* e-mail: mdemonti@ualberta.ca
Received:
21
June
2019
Accepted:
5
November
2019
Published online:
18
November
2019
This paper examines the effects of a new form of the extended generalized uncertainty principle in the Snyder–de Sitter model on the thermodynamics of the Schwarzschild and Reissner–Nordström black holes. Firstly, we present a generalization of the minimal length uncertainty relation with two deformation parameters. Then we obtain the corrected mass–temperature relation, entropy and heat capacity for Schwarzschild black hole. Also we investigate the effect of the corrected uncertainty principle on the thermodynamics of the charged black holes. Our discussion of the corrected entropy involves a heuristic analysis of a particle which is absorbed by the black hole. Finally, we compare the thermodynamics of a charged black hole with the thermodynamics of a Schwarzschild black hole and with the usual forms, that is, without corrections to the uncertainty principle.
© The Author(s), 2019
