A matrix method for quasinormal modes: Schwarzschild black holes in asymptotically flat and (anti-) de Sitter spacetimes
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1088/1361-6382/aa6643 http://hdl.handle.net/11449/159472 |
Resumo: | In this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in the form of a homogeneous system of linear algebraic equations. The resulting homogeneous matrix equation furnishes a non- standard eigenvalue problem, which can then be solved numerically to obtain the quasinormal frequencies. A key feature of the present approach is that the discretization of the wave function and its derivatives is made to be independent of any specific metric through coordinate transformation. In many cases, it can be carried out beforehand, which in turn improves the efficiency and facilitates the numerical implementation. We also analyze the precision and efficiency of the present method as well as compare the results to those obtained by different approaches. |
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Repositório Institucional da UNESP |
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A matrix method for quasinormal modes: Schwarzschild black holes in asymptotically flat and (anti-) de Sitter spacetimesquasinormal modesblack holeSchwarzschild spacetimede Sitter spacetimeIn this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in the form of a homogeneous system of linear algebraic equations. The resulting homogeneous matrix equation furnishes a non- standard eigenvalue problem, which can then be solved numerically to obtain the quasinormal frequencies. A key feature of the present approach is that the discretization of the wave function and its derivatives is made to be independent of any specific metric through coordinate transformation. In many cases, it can be carried out beforehand, which in turn improves the efficiency and facilitates the numerical implementation. We also analyze the precision and efficiency of the present method as well as compare the results to those obtained by different approaches.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)National Natural Science Foundation of China (NNSFC)Univ Fed Itajuba, Inst Fis & Quim, Itajuba, MG, BrazilUniv Sao Paulo, Escola Engn Lorena, Lorena, SP, BrazilUniv Estadual Paulista, Fac Engn Guaratingueta, Guaratingueta, SP, BrazilUniv Estadual Paulista, Fac Engn Guaratingueta, Guaratingueta, SP, BrazilNational Natural Science Foundation of China (NNSFC): 11573022National Natural Science Foundation of China (NNSFC): 11375279Iop Publishing LtdUniv Fed ItajubaUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Lin, KaiQian, Wei-Liang [UNESP]2018-11-26T15:43:56Z2018-11-26T15:43:56Z2017-05-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article13application/pdfhttp://dx.doi.org/10.1088/1361-6382/aa6643Classical And Quantum Gravity. Bristol: Iop Publishing Ltd, v. 34, n. 9, 13 p., 2017.0264-9381http://hdl.handle.net/11449/15947210.1088/1361-6382/aa6643WOS:000398277900001WOS000398277900001.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengClassical And Quantum Gravity1,809info:eu-repo/semantics/openAccess2023-11-26T06:11:15Zoai:repositorio.unesp.br:11449/159472Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:45:46.082195Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
A matrix method for quasinormal modes: Schwarzschild black holes in asymptotically flat and (anti-) de Sitter spacetimes |
title |
A matrix method for quasinormal modes: Schwarzschild black holes in asymptotically flat and (anti-) de Sitter spacetimes |
spellingShingle |
A matrix method for quasinormal modes: Schwarzschild black holes in asymptotically flat and (anti-) de Sitter spacetimes Lin, Kai quasinormal modes black hole Schwarzschild spacetime de Sitter spacetime |
title_short |
A matrix method for quasinormal modes: Schwarzschild black holes in asymptotically flat and (anti-) de Sitter spacetimes |
title_full |
A matrix method for quasinormal modes: Schwarzschild black holes in asymptotically flat and (anti-) de Sitter spacetimes |
title_fullStr |
A matrix method for quasinormal modes: Schwarzschild black holes in asymptotically flat and (anti-) de Sitter spacetimes |
title_full_unstemmed |
A matrix method for quasinormal modes: Schwarzschild black holes in asymptotically flat and (anti-) de Sitter spacetimes |
title_sort |
A matrix method for quasinormal modes: Schwarzschild black holes in asymptotically flat and (anti-) de Sitter spacetimes |
author |
Lin, Kai |
author_facet |
Lin, Kai Qian, Wei-Liang [UNESP] |
author_role |
author |
author2 |
Qian, Wei-Liang [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Univ Fed Itajuba Universidade de São Paulo (USP) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Lin, Kai Qian, Wei-Liang [UNESP] |
dc.subject.por.fl_str_mv |
quasinormal modes black hole Schwarzschild spacetime de Sitter spacetime |
topic |
quasinormal modes black hole Schwarzschild spacetime de Sitter spacetime |
description |
In this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in the form of a homogeneous system of linear algebraic equations. The resulting homogeneous matrix equation furnishes a non- standard eigenvalue problem, which can then be solved numerically to obtain the quasinormal frequencies. A key feature of the present approach is that the discretization of the wave function and its derivatives is made to be independent of any specific metric through coordinate transformation. In many cases, it can be carried out beforehand, which in turn improves the efficiency and facilitates the numerical implementation. We also analyze the precision and efficiency of the present method as well as compare the results to those obtained by different approaches. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-05-04 2018-11-26T15:43:56Z 2018-11-26T15:43:56Z |
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://dx.doi.org/10.1088/1361-6382/aa6643 Classical And Quantum Gravity. Bristol: Iop Publishing Ltd, v. 34, n. 9, 13 p., 2017. 0264-9381 http://hdl.handle.net/11449/159472 10.1088/1361-6382/aa6643 WOS:000398277900001 WOS000398277900001.pdf |
url |
http://dx.doi.org/10.1088/1361-6382/aa6643 http://hdl.handle.net/11449/159472 |
identifier_str_mv |
Classical And Quantum Gravity. Bristol: Iop Publishing Ltd, v. 34, n. 9, 13 p., 2017. 0264-9381 10.1088/1361-6382/aa6643 WOS:000398277900001 WOS000398277900001.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Classical And Quantum Gravity 1,809 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
13 application/pdf |
dc.publisher.none.fl_str_mv |
Iop Publishing Ltd |
publisher.none.fl_str_mv |
Iop Publishing Ltd |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128975565750272 |