Rényi entropy and the thermodynamic stability of black holes

Bibliographic Details
Main Author: Czinner, Viktor G.
Publication Date: 2016
Other Authors: Iguchi, Hideo
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/1822/39086
Summary: 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.
id RCAP_6e0e9458f93ee6bb4b335790a9cb1a28
oai_identifier_str oai:repositorium.sdum.uminho.pt:1822/39086
network_acronym_str RCAP
network_name_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository_id_str https://opendoar.ac.uk/repository/7160
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/pdfhttps://hdl.handle.net/1822/39086eng0370-269310.1016/j.physletb.2015.11.061http://www.sciencedirect.com/science/article/pii/S037026931500917Xinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-04-12T04:35:00Zoai:repositorium.sdum.uminho.pt:1822/39086Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:26:22.837560Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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 https://hdl.handle.net/1822/39086
url https://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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833595315505070080

Similar Items