Ondas gravitacionais no modelo de Starobinsky de ordem superior

Detalhes bibliográficos
Ano de defesa: 2020
Autor(a) principal: Vilhena, Silas Guida lattes
Orientador(a): Cuzinatto, Rodrigo Rocha lattes
Banca de defesa: Lenzi, César Henrique, Melo, Cássius Anderson Miquele De
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal de Alfenas
Programa de Pós-Graduação: Programa de Pós-graduação em Física
Departamento: Instituto de Ciência e Tecnologia
País: Brasil
Palavras-chave em Português:
Área do conhecimento CNPq:
Link de acesso: https://repositorio.unifal-mg.edu.br/handle/123456789/1742
Resumo: This work proposes the study of gravitational waves in the higher order Starobinsky model. Starting from higher order Starobinsky action, it is possible to deduce the field equations for this gravitational theory. Through the weak field approximation, linearized equations of sixth order derivatives are constructed. Scalar fields are introduced with the proposal to reduce the order of the differential equations and lead us to three second-order differential equations. One tensor equation with known solution; two equations with dependency of scalar fields, which are solved by Green funciton. The solution of these equations lead us to the characterization of gravitational waves in our modified gravity model.
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spelling Vilhena, Silas Guidahttp://lattes.cnpq.br/8073303573679522Pompeia, Pedro Joséhttp://lattes.cnpq.br/1644271814596941Lenzi, César HenriqueMelo, Cássius Anderson Miquele DeCuzinatto, Rodrigo Rochahttp://lattes.cnpq.br/10485047219323072021-02-23T13:29:53Z2020-07-15VILHENA, Silas Guida. Ondas gravitacionais no modelo de Starobinsky de ordem superior. 2020. 132 f. Dissertação (Mestrado em Física) - Universidade Federal de Alfenas, Poços de Caldas, 2020.https://repositorio.unifal-mg.edu.br/handle/123456789/1742This work proposes the study of gravitational waves in the higher order Starobinsky model. Starting from higher order Starobinsky action, it is possible to deduce the field equations for this gravitational theory. Through the weak field approximation, linearized equations of sixth order derivatives are constructed. Scalar fields are introduced with the proposal to reduce the order of the differential equations and lead us to three second-order differential equations. One tensor equation with known solution; two equations with dependency of scalar fields, which are solved by Green funciton. The solution of these equations lead us to the characterization of gravitational waves in our modified gravity model.Este trabalho tem como proposta o estudo das ondas gravitacionais no modelo de Starobinsky de ordem superior. A partir da integral de ação de Starobinsky de ordem superior é possível deduzir as equações de campo para este modelo. Através da aproximação de campo fraco, constróem-se as equações linearizadas, que são de sexta ordem. Campos escalares são introduzidos com a proposta de redução da ordem das equações diferenciais, resultando em três equações com derivadas de segunda ordem. Uma equação tensorial que possui solução conhecida; e outras duas equações dependentes dos campos escalares, que são resolvidas com função de Green. A solução destas equações nos leva à caracterização das ondas gravitacionais em nosso modelo de gravidade modificada.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESapplication/pdfporUniversidade Federal de AlfenasPrograma de Pós-graduação em FísicaUNIFAL-MGBrasilInstituto de Ciência e Tecnologiainfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/Física.Relatividade (Física).Ondas gravitacionais.FISICA::FISICA DAS PARTICULAS ELEMENTARES E CAMPOSOndas gravitacionais no modelo de Starobinsky de ordem superiorGravitational waves in the higher order Starobinsky modelinfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/publishedVersion-4297417259498638931600600600-22469401205540921102075167498588264571reponame:Repositório Institucional da Universidade Federal de Alfenas - RiUnifalinstname:Universidade Federal de Alfenas (UNIFAL)instacron:UNIFALVilhena, Silas GuidaLICENSElicense.txtlicense.txttext/plain; charset=utf-81987https://repositorio.unifal-mg.edu.br/bitstreams/c8363cdd-b81c-45f4-94a2-616a205d7644/download31555718c4fc75849dd08f27935d4f6bMD51CC-LICENSElicense_urllicense_urltext/plain; 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dc.title.pt-BR.fl_str_mv Ondas gravitacionais no modelo de Starobinsky de ordem superior
dc.title.alternative.eng.fl_str_mv Gravitational waves in the higher order Starobinsky model
title Ondas gravitacionais no modelo de Starobinsky de ordem superior
spellingShingle Ondas gravitacionais no modelo de Starobinsky de ordem superior
Vilhena, Silas Guida
Física.
Relatividade (Física).
Ondas gravitacionais.
FISICA::FISICA DAS PARTICULAS ELEMENTARES E CAMPOS
title_short Ondas gravitacionais no modelo de Starobinsky de ordem superior
title_full Ondas gravitacionais no modelo de Starobinsky de ordem superior
title_fullStr Ondas gravitacionais no modelo de Starobinsky de ordem superior
title_full_unstemmed Ondas gravitacionais no modelo de Starobinsky de ordem superior
title_sort Ondas gravitacionais no modelo de Starobinsky de ordem superior
author Vilhena, Silas Guida
author_facet Vilhena, Silas Guida
author_role author
dc.contributor.author.fl_str_mv Vilhena, Silas Guida
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/8073303573679522
dc.contributor.advisor-co1.fl_str_mv Pompeia, Pedro José
dc.contributor.advisor-co1Lattes.fl_str_mv http://lattes.cnpq.br/1644271814596941
dc.contributor.referee1.fl_str_mv Lenzi, César Henrique
dc.contributor.referee2.fl_str_mv Melo, Cássius Anderson Miquele De
dc.contributor.advisor1.fl_str_mv Cuzinatto, Rodrigo Rocha
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/1048504721932307
contributor_str_mv Pompeia, Pedro José
Lenzi, César Henrique
Melo, Cássius Anderson Miquele De
Cuzinatto, Rodrigo Rocha
dc.subject.por.fl_str_mv Física.
Relatividade (Física).
Ondas gravitacionais.
topic Física.
Relatividade (Física).
Ondas gravitacionais.
FISICA::FISICA DAS PARTICULAS ELEMENTARES E CAMPOS
dc.subject.cnpq.fl_str_mv FISICA::FISICA DAS PARTICULAS ELEMENTARES E CAMPOS
description This work proposes the study of gravitational waves in the higher order Starobinsky model. Starting from higher order Starobinsky action, it is possible to deduce the field equations for this gravitational theory. Through the weak field approximation, linearized equations of sixth order derivatives are constructed. Scalar fields are introduced with the proposal to reduce the order of the differential equations and lead us to three second-order differential equations. One tensor equation with known solution; two equations with dependency of scalar fields, which are solved by Green funciton. The solution of these equations lead us to the characterization of gravitational waves in our modified gravity model.
publishDate 2020
dc.date.issued.fl_str_mv 2020-07-15
dc.date.accessioned.fl_str_mv 2021-02-23T13:29:53Z
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.identifier.citation.fl_str_mv VILHENA, Silas Guida. Ondas gravitacionais no modelo de Starobinsky de ordem superior. 2020. 132 f. Dissertação (Mestrado em Física) - Universidade Federal de Alfenas, Poços de Caldas, 2020.
dc.identifier.uri.fl_str_mv https://repositorio.unifal-mg.edu.br/handle/123456789/1742
identifier_str_mv VILHENA, Silas Guida. Ondas gravitacionais no modelo de Starobinsky de ordem superior. 2020. 132 f. Dissertação (Mestrado em Física) - Universidade Federal de Alfenas, Poços de Caldas, 2020.
url https://repositorio.unifal-mg.edu.br/handle/123456789/1742
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dc.publisher.none.fl_str_mv Universidade Federal de Alfenas
dc.publisher.program.fl_str_mv Programa de Pós-graduação em Física
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dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto de Ciência e Tecnologia
publisher.none.fl_str_mv Universidade Federal de Alfenas
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