Rényi entropy and the thermodynamic stability of black holes

Detalhes bibliográficos
Autor(a) principal: Czinner, Viktor G.
Data de Publicação: 2016
Outros Autores: Iguchi, Hideo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/39086
Resumo: Thermodynamic stability of black holes, described by the Rényi formula as equilibrium compatible entropy function, is investigated. It is shown that within this approach, asymptotically flat, Schwarzschild black holes can be in stable equilibrium with thermal radiation at a fixed temperature. This implies that the canonical ensemble exists just like in anti-de Sitter space, and nonextensive effects can stabilize the black holes in a very similar way as it is done by the gravitational potential of an anti-de Sitter space. Furthermore, it is also shown that a Hawking–Page-like black hole phase transition occurs at a critical temperature which depends on the q-parameter of the Rényi formula.
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spelling Rényi entropy and the thermodynamic stability of black holesNon-extensive entropyBlack hole thermodynamicsStabilityCiências Naturais::MatemáticasScience & TechnologyThermodynamic stability of black holes, described by the Rényi formula as equilibrium compatible entropy function, is investigated. It is shown that within this approach, asymptotically flat, Schwarzschild black holes can be in stable equilibrium with thermal radiation at a fixed temperature. This implies that the canonical ensemble exists just like in anti-de Sitter space, and nonextensive effects can stabilize the black holes in a very similar way as it is done by the gravitational potential of an anti-de Sitter space. Furthermore, it is also shown that a Hawking–Page-like black hole phase transition occurs at a critical temperature which depends on the q-parameter of the Rényi formula.V.G.Cz. is grateful for discussions with Prof. T.S. Biro. The research leading to this result has received funding from: the European Union Seventh Framework Programme (FP7/2007-2013) under the grant agreement No. PCOFUND-GA-2009-246542; the FCT project SFRH/BCC/105835/2014; the Japanese Ministry of Education, Science, Sports, and Culture Grant-in-Aid for Scientific Research (C) (No. 23540319), and also from the Japan Society for the Promotion of Science L14710 grant.ElsevierUniversidade do MinhoCzinner, Viktor G.Iguchi, Hideo2016-01-102016-01-10T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/39086eng0370-269310.1016/j.physletb.2015.11.061http://www.sciencedirect.com/science/article/pii/S037026931500917Xinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:20:09Zoai:repositorium.sdum.uminho.pt:1822/39086Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:13:14.126059Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Rényi entropy and the thermodynamic stability of black holes
title Rényi entropy and the thermodynamic stability of black holes
spellingShingle Rényi entropy and the thermodynamic stability of black holes
Czinner, Viktor G.
Non-extensive entropy
Black hole thermodynamics
Stability
Ciências Naturais::Matemáticas
Science & Technology
title_short Rényi entropy and the thermodynamic stability of black holes
title_full Rényi entropy and the thermodynamic stability of black holes
title_fullStr Rényi entropy and the thermodynamic stability of black holes
title_full_unstemmed Rényi entropy and the thermodynamic stability of black holes
title_sort Rényi entropy and the thermodynamic stability of black holes
author Czinner, Viktor G.
author_facet Czinner, Viktor G.
Iguchi, Hideo
author_role author
author2 Iguchi, Hideo
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Czinner, Viktor G.
Iguchi, Hideo
dc.subject.por.fl_str_mv Non-extensive entropy
Black hole thermodynamics
Stability
Ciências Naturais::Matemáticas
Science & Technology
topic Non-extensive entropy
Black hole thermodynamics
Stability
Ciências Naturais::Matemáticas
Science & Technology
description Thermodynamic stability of black holes, described by the Rényi formula as equilibrium compatible entropy function, is investigated. It is shown that within this approach, asymptotically flat, Schwarzschild black holes can be in stable equilibrium with thermal radiation at a fixed temperature. This implies that the canonical ensemble exists just like in anti-de Sitter space, and nonextensive effects can stabilize the black holes in a very similar way as it is done by the gravitational potential of an anti-de Sitter space. Furthermore, it is also shown that a Hawking–Page-like black hole phase transition occurs at a critical temperature which depends on the q-parameter of the Rényi formula.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-10
2016-01-10T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/39086
url http://hdl.handle.net/1822/39086
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0370-2693
10.1016/j.physletb.2015.11.061
http://www.sciencedirect.com/science/article/pii/S037026931500917X
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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