Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statistics
It is argued that, using the black hole area entropy law together with the Boltzmann-Gibbs statistical mechanics and the quasinormal modes of the black holes, it is possible to determine univocally the lowest possible value for the spin j in the context of the Loop Quantum Gravity theory which is jm...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-11-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269319307336 |
| _version_ | 1811287961723994112 |
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| author | Everton M.C. Abreu Jorge Ananias Neto Edésio M. Barboza, Jr. Bráulio B. Soares |
| author_facet | Everton M.C. Abreu Jorge Ananias Neto Edésio M. Barboza, Jr. Bráulio B. Soares |
| author_sort | Everton M.C. Abreu |
| collection | DOAJ |
| description | It is argued that, using the black hole area entropy law together with the Boltzmann-Gibbs statistical mechanics and the quasinormal modes of the black holes, it is possible to determine univocally the lowest possible value for the spin j in the context of the Loop Quantum Gravity theory which is jmin=1. Consequently, the value of Immirzi parameter is given by γ=ln3/(2π2). In this paper, we have shown that if we use Tsallis microcanonical entropy rather than Boltzmann-Gibbs framework then the minimum value of the label j depends on the nonextensive q-parameter and may have values other than jmin=1. Keywords: Loop Quantum Gravity, Immirzi parameter, Tsallis statistics |
| first_indexed | 2024-04-13T03:27:36Z |
| format | Article |
| id | doaj.art-c2855e68b06a456990041803cd249c38 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-13T03:27:36Z |
| publishDate | 2019-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-c2855e68b06a456990041803cd249c382022-12-22T03:04:36ZengElsevierPhysics Letters B0370-26932019-11-01798Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statisticsEverton M.C. Abreu0Jorge Ananias Neto1Edésio M. Barboza, Jr.2Bráulio B. Soares3Departamento de Física, Universidade Federal Rural do Rio de Janeiro, 23890-971, Seropédica, RJ, Brazil; Departamento de Física, Universidade Federal de Juiz de Fora, 36036-330, Juiz de Fora, MG, Brazil; Programa de Pós-Graduação Interdisciplinar em Física Aplicada, Instituto de Física, Universidade Federal do Rio de Janeiro, 21941-972, Rio de Janeiro, RJ, BrazilDepartamento de Física, Universidade Federal de Juiz de Fora, 36036-330, Juiz de Fora, MG, BrazilDepartamento de Física, Universidade do Estado do Rio Grande do Norte, 59610-210, Mossoró-RN, BrazilDepartamento de Ciência e Tecnologia, Universidade do Estado do Rio Grande do Norte, Natal, RN, BrazilIt is argued that, using the black hole area entropy law together with the Boltzmann-Gibbs statistical mechanics and the quasinormal modes of the black holes, it is possible to determine univocally the lowest possible value for the spin j in the context of the Loop Quantum Gravity theory which is jmin=1. Consequently, the value of Immirzi parameter is given by γ=ln3/(2π2). In this paper, we have shown that if we use Tsallis microcanonical entropy rather than Boltzmann-Gibbs framework then the minimum value of the label j depends on the nonextensive q-parameter and may have values other than jmin=1. Keywords: Loop Quantum Gravity, Immirzi parameter, Tsallis statisticshttp://www.sciencedirect.com/science/article/pii/S0370269319307336 |
| spellingShingle | Everton M.C. Abreu Jorge Ananias Neto Edésio M. Barboza, Jr. Bráulio B. Soares Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statistics Physics Letters B |
| title | Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statistics |
| title_full | Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statistics |
| title_fullStr | Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statistics |
| title_full_unstemmed | Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statistics |
| title_short | Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statistics |
| title_sort | black holes quasinormal modes loop quantum gravity immirzi parameter and nonextensive statistics |
| url | http://www.sciencedirect.com/science/article/pii/S0370269319307336 |
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