Perturbations in the Kerr spacetime

Detalhes bibliográficos
Autor(a) principal: LIMA, Mariana Cristina de
Data de Publicação: 2019
Tipo de documento: Dissertação
Idioma: eng
Título da fonte: Repositório Institucional da UFPE
Texto Completo: https://repositorio.ufpe.br/handle/123456789/40777
Resumo: CUNHA, Bruno Geraldo Carneiro da, também é conhecido em citações bibliográficas por: CUNHA, Bruno Carneiro da
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spelling LIMA, Mariana Cristina dehttp://lattes.cnpq.br/8918944566846459http://lattes.cnpq.br/8859998369703134CUNHA, Bruno Geraldo Carneiro da2021-08-04T23:17:11Z2021-08-04T23:17:11Z2019-11-08LIMA, Mariana Cristina de. Perturbations in the Kerr spacetime. 2019. Dissertação (Mestrado em Física) – Universidade Federal de Pernambuco, Recife, 2019.https://repositorio.ufpe.br/handle/123456789/40777CUNHA, Bruno Geraldo Carneiro da, também é conhecido em citações bibliográficas por: CUNHA, Bruno Carneiro daIn the present dissertation we study s-spin weight field perturbations in the Kerr background. Such perturbations are described by an equation called Teukolsky master equation (TME). Here we show how to obtain the TME and study it. Then, in order to obtain the quasi-normal modes, that is, the possible frequencies of the field between the outer horizon and infinity, we discuss the continued fraction method (known as Leaver’s method in such context), which consists in writing a series expansion for the angular and radial equations derived from the TME. It follows that the coefficients of the series expansions obey a three-term recurrence relation (TTRR). For this reason, we study properties of TTRR to make clear the Leaver’s method, and then to obtain numerically the frequencies. In the last chapter we discuss the Kerr scattering problem and explain the Penrose process in order to make a link with black hole thermodynamics. Lastly, we address superradiance, which is directly related with the Hawking’s area theorem.CNPqNesta dissertação é feito um estudo sobre perturbações de campos de peso de spin s no background de Kerr. Tais perturbações são descritas por uma equação chamada equação master de Teukolsky (EMT). Aqui nós mostramos como obter a EMT e a estudamos. Em seguida, para obter os modos quasi-normais, isto é, as possíveis frequências do campo entre o horizonte externo e infinito, nós discutimos sobre o método de frações continuadas (conhecido como método de Leaver neste contexto), que consiste em escrever uma expansão em série para as equações angular e radial obtidas a partir da EMT. Por conseguinte, os coeficientes das expansões em série obedecem uma relação de recorrência de três termos (RRTT). Por isso nós estudamos propriedades das RRTT para deixar claro o método de Leaver e assim obter numericamente as frequências. No último capítulo nós discutimos o problema de espalhamento de Kerr e explicamos o processo de Penrose com o objetivo de relacionar com termodinâmica de buracos negros. Por fim, nós abordamos superradiância, que está diretamente relacionada com o teorema de área de Hawking.engUniversidade Federal de PernambucoPrograma de Pos Graduacao em FisicaUFPEBrasilhttp://creativecommons.org/licenses/by-nc-nd/3.0/br/info:eu-repo/semantics/openAccessFísica Teórica e ComputacionalRelatividade geralBuraco negro de KerrEquação master de TeukolskyPerturbations in the Kerr spacetimeinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesismestradoreponame:Repositório Institucional da UFPEinstname:Universidade Federal de Pernambuco (UFPE)instacron:UFPEORIGINALDISSERTAÇÃO Mariana Cristina de Lima.pdfDISSERTAÇÃO Mariana Cristina de Lima.pdfapplication/pdf1269460https://repositorio.ufpe.br/bitstream/123456789/40777/1/DISSERTA%c3%87%c3%83O%20Mariana%20Cristina%20de%20Lima.pdf8e3fb71b3a65b017ffa298b4d23cad26MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8811https://repositorio.ufpe.br/bitstream/123456789/40777/2/license_rdfe39d27027a6cc9cb039ad269a5db8e34MD52LICENSElicense.txtlicense.txttext/plain; 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dc.title.pt_BR.fl_str_mv Perturbations in the Kerr spacetime
title Perturbations in the Kerr spacetime
spellingShingle Perturbations in the Kerr spacetime
LIMA, Mariana Cristina de
Física Teórica e Computacional
Relatividade geral
Buraco negro de Kerr
Equação master de Teukolsky
title_short Perturbations in the Kerr spacetime
title_full Perturbations in the Kerr spacetime
title_fullStr Perturbations in the Kerr spacetime
title_full_unstemmed Perturbations in the Kerr spacetime
title_sort Perturbations in the Kerr spacetime
author LIMA, Mariana Cristina de
author_facet LIMA, Mariana Cristina de
author_role author
dc.contributor.authorLattes.pt_BR.fl_str_mv http://lattes.cnpq.br/8918944566846459
dc.contributor.advisorLattes.pt_BR.fl_str_mv http://lattes.cnpq.br/8859998369703134
dc.contributor.author.fl_str_mv LIMA, Mariana Cristina de
dc.contributor.advisor1.fl_str_mv CUNHA, Bruno Geraldo Carneiro da
contributor_str_mv CUNHA, Bruno Geraldo Carneiro da
dc.subject.por.fl_str_mv Física Teórica e Computacional
Relatividade geral
Buraco negro de Kerr
Equação master de Teukolsky
topic Física Teórica e Computacional
Relatividade geral
Buraco negro de Kerr
Equação master de Teukolsky
description CUNHA, Bruno Geraldo Carneiro da, também é conhecido em citações bibliográficas por: CUNHA, Bruno Carneiro da
publishDate 2019
dc.date.issued.fl_str_mv 2019-11-08
dc.date.accessioned.fl_str_mv 2021-08-04T23:17:11Z
dc.date.available.fl_str_mv 2021-08-04T23:17:11Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv LIMA, Mariana Cristina de. Perturbations in the Kerr spacetime. 2019. Dissertação (Mestrado em Física) – Universidade Federal de Pernambuco, Recife, 2019.
dc.identifier.uri.fl_str_mv https://repositorio.ufpe.br/handle/123456789/40777
identifier_str_mv LIMA, Mariana Cristina de. Perturbations in the Kerr spacetime. 2019. Dissertação (Mestrado em Física) – Universidade Federal de Pernambuco, Recife, 2019.
url https://repositorio.ufpe.br/handle/123456789/40777
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/3.0/br/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/3.0/br/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Pernambuco
dc.publisher.program.fl_str_mv Programa de Pos Graduacao em Fisica
dc.publisher.initials.fl_str_mv UFPE
dc.publisher.country.fl_str_mv Brasil
publisher.none.fl_str_mv Universidade Federal de Pernambuco
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFPE
instname:Universidade Federal de Pernambuco (UFPE)
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instname_str Universidade Federal de Pernambuco (UFPE)
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institution UFPE
reponame_str Repositório Institucional da UFPE
collection Repositório Institucional da UFPE
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