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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Main Authors: M. A. Anacleto, F. A. Brito, B. R. Carvalho, E. Passos
Format: Article
Language:English
Published: Wiley 2021-01-01
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.
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institution Kabale University
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language English
publishDate 2021-01-01
publisher Wiley
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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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