Noncommutative Correction to the Entropy of BTZ Black Hole with GUP
We investigate the effect of noncommutativity and quantum corrections to the temperature and entropy of a BTZ black hole based on a Lorentzian distribution with the generalized uncertainty principle (GUP). To determine the Hawking radiation in the tunneling formalism, we apply the Hamilton-Jacobi me...
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Wiley
2021-01-01
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Series: | Advances in High Energy Physics |
Online Access: | http://dx.doi.org/10.1155/2021/6633684 |
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author | M. A. Anacleto F. A. Brito B. R. Carvalho E. Passos |
author_facet | M. A. Anacleto F. A. Brito B. R. Carvalho E. Passos |
author_sort | M. A. Anacleto |
collection | DOAJ |
description | We investigate the effect of noncommutativity and quantum corrections to the temperature and entropy of a BTZ black hole based on a Lorentzian distribution with the generalized uncertainty principle (GUP). To determine the Hawking radiation in the tunneling formalism, we apply the Hamilton-Jacobi method by using the Wentzel-Kramers-Brillouin (WKB) approach. In the present study, we have obtained logarithmic corrections to entropy due to the effect of noncommutativity and GUP. We also address the issue concerning stability of the noncommutative BTZ black hole by investigating its modified specific heat capacity. |
format | Article |
id | doaj-art-be65d13383be41b086a73007e61867a9 |
institution | Kabale University |
issn | 1687-7357 1687-7365 |
language | English |
publishDate | 2021-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in High Energy Physics |
spelling | doaj-art-be65d13383be41b086a73007e61867a92025-02-03T01:28:31ZengWileyAdvances in High Energy Physics1687-73571687-73652021-01-01202110.1155/2021/66336846633684Noncommutative Correction to the Entropy of BTZ Black Hole with GUPM. A. Anacleto0F. A. Brito1B. R. Carvalho2E. Passos3Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58429-900 Campina Grande, Paraíba, BrazilDepartamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58429-900 Campina Grande, Paraíba, BrazilDepartamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58429-900 Campina Grande, Paraíba, BrazilDepartamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58429-900 Campina Grande, Paraíba, BrazilWe investigate the effect of noncommutativity and quantum corrections to the temperature and entropy of a BTZ black hole based on a Lorentzian distribution with the generalized uncertainty principle (GUP). To determine the Hawking radiation in the tunneling formalism, we apply the Hamilton-Jacobi method by using the Wentzel-Kramers-Brillouin (WKB) approach. In the present study, we have obtained logarithmic corrections to entropy due to the effect of noncommutativity and GUP. We also address the issue concerning stability of the noncommutative BTZ black hole by investigating its modified specific heat capacity.http://dx.doi.org/10.1155/2021/6633684 |
spellingShingle | M. A. Anacleto F. A. Brito B. R. Carvalho E. Passos Noncommutative Correction to the Entropy of BTZ Black Hole with GUP Advances in High Energy Physics |
title | Noncommutative Correction to the Entropy of BTZ Black Hole with GUP |
title_full | Noncommutative Correction to the Entropy of BTZ Black Hole with GUP |
title_fullStr | Noncommutative Correction to the Entropy of BTZ Black Hole with GUP |
title_full_unstemmed | Noncommutative Correction to the Entropy of BTZ Black Hole with GUP |
title_short | Noncommutative Correction to the Entropy of BTZ Black Hole with GUP |
title_sort | noncommutative correction to the entropy of btz black hole with gup |
url | http://dx.doi.org/10.1155/2021/6633684 |
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