Thermodynamics of the Schwarzschild and Reissner–Nordström black holes under the Snyder–de Sitter model

Thermodynamics of the Schwarzschild and Reissner–Nordström black holes under the Snyder–de Sitter model

Abstract 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 t...

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Main Authors: H. Hassanabadi, E. Maghsoodi, Won Sang Chung, M. de Montigny
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-7463-3
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spelling doaj-0e1cc40bbf4148c9a7b1cd46fcd034ca2020-11-25T04:12:22ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-11-0179111610.1140/epjc/s10052-019-7463-3Thermodynamics of the Schwarzschild and Reissner–Nordström black holes under the Snyder–de Sitter modelH. Hassanabadi0E. Maghsoodi1Won Sang Chung2M. de Montigny3Faculty of Physics, Shahrood University of TechnologyDepartment of Physics, Faculty of Science, Lorestan UniversityDepartment of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National UniversityFaculté Saint-Jean, University of AlbertaAbstract 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.http://link.springer.com/article/10.1140/epjc/s10052-019-7463-3
collection DOAJ
language English
format Article
sources DOAJ
author H. Hassanabadi
E. Maghsoodi
Won Sang Chung
M. de Montigny
spellingShingle H. Hassanabadi
E. Maghsoodi
Won Sang Chung
M. de Montigny
Thermodynamics of the Schwarzschild and Reissner–Nordström black holes under the Snyder–de Sitter model
European Physical Journal C: Particles and Fields
author_facet H. Hassanabadi
E. Maghsoodi
Won Sang Chung
M. de Montigny
author_sort H. Hassanabadi
title Thermodynamics of the Schwarzschild and Reissner–Nordström black holes under the Snyder–de Sitter model
title_short Thermodynamics of the Schwarzschild and Reissner–Nordström black holes under the Snyder–de Sitter model
title_full Thermodynamics of the Schwarzschild and Reissner–Nordström black holes under the Snyder–de Sitter model
title_fullStr Thermodynamics of the Schwarzschild and Reissner–Nordström black holes under the Snyder–de Sitter model
title_full_unstemmed Thermodynamics of the Schwarzschild and Reissner–Nordström black holes under the Snyder–de Sitter model
title_sort thermodynamics of the schwarzschild and reissner–nordström black holes under the snyder–de sitter model
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2019-11-01
description Abstract 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.
url http://link.springer.com/article/10.1140/epjc/s10052-019-7463-3
work_keys_str_mv AT hhassanabadi thermodynamicsoftheschwarzschildandreissnernordstromblackholesunderthesnyderdesittermodel
AT emaghsoodi thermodynamicsoftheschwarzschildandreissnernordstromblackholesunderthesnyderdesittermodel
AT wonsangchung thermodynamicsoftheschwarzschildandreissnernordstromblackholesunderthesnyderdesittermodel
AT mdemontigny thermodynamicsoftheschwarzschildandreissnernordstromblackholesunderthesnyderdesittermodel
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