Perturbative Approaches to Modified Gravity
Ninguna
- Autores:
-
Molano Moreno, Daniel Alejandro
- Tipo de recurso:
- Doctoral thesis
- Fecha de publicación:
- 2025
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/75957
- Acceso en línea:
- https://hdl.handle.net/1992/75957
- Palabra clave:
- Cosmology
General relativity
Modified gravity
Física
- Rights
- openAccess
- License
- http://purl.org/coar/access_right/c_abf2
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Perturbative Approaches to Modified Gravity |
| title |
Perturbative Approaches to Modified Gravity |
| spellingShingle |
Perturbative Approaches to Modified Gravity Cosmology General relativity Modified gravity Física |
| title_short |
Perturbative Approaches to Modified Gravity |
| title_full |
Perturbative Approaches to Modified Gravity |
| title_fullStr |
Perturbative Approaches to Modified Gravity |
| title_full_unstemmed |
Perturbative Approaches to Modified Gravity |
| title_sort |
Perturbative Approaches to Modified Gravity |
| dc.creator.fl_str_mv |
Molano Moreno, Daniel Alejandro |
| dc.contributor.advisor.none.fl_str_mv |
Ramírez Rojas, Juan Gabriel Bargueño De Retes, Pedro |
| dc.contributor.author.none.fl_str_mv |
Molano Moreno, Daniel Alejandro |
| dc.contributor.jury.none.fl_str_mv |
Olmo, Gonzalo Cortissoz Iriarte, Jean Carlos |
| dc.subject.keyword.eng.fl_str_mv |
Cosmology |
| topic |
Cosmology General relativity Modified gravity Física |
| dc.subject.keyword.none.fl_str_mv |
General relativity Modified gravity |
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Física |
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Ninguna |
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2025 |
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2025-01-31T21:57:55Z |
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2025-01-31T21:57:55Z |
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2025-01-27 |
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Trabajo de grado - Doctorado |
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102 páginas |
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Universidad de los Andes |
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Doctorado en Ciencias - Física |
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Facultad de Ciencias |
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Departamento de Física |
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Universidad de los Andes |
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Ramírez Rojas, Juan Gabrielvirtual::23050-1Bargueño De Retes, Pedrovirtual::23052-1Molano Moreno, Daniel AlejandroOlmo, GonzaloCortissoz Iriarte, Jean Carlos2025-01-31T21:57:55Z2025-01-31T21:57:55Z2025-01-27https://hdl.handle.net/1992/75957instname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/NingunaDespite de success of General Relativity describing different phenomenology in different context, there are different kinds of motivation to think that general relativity needs an extension. In the last years the finding of these modifications of gravity has been a complex task with an abundance of proposals with field equations difficult where obtaining solutions for scenarios of physical interest is a highly intricate challenge. For that, we employ a rigorously established mathematical foundation rooted in perturbation theory in General Relativity (GR). First, we demonstrate that, for a significant class of vacuum f(R,RµνRµν) theories, the corresponding solutions do not yield additional effects beyond those predicted by General Relativity’s perturbation theory. However, models characterized by terms of the form f(R,RµνRµν,RµνσδRµνσδ) exhibit distinctive contributions not present in General Relativity. We assert that fundamental limitations exist, explaining why solutions of certain f(R,RµνRµν) models can deviate from their General Relativity counterparts, indicating non-connected solutions or non-analytic behavior. Conversely, in the models f(R,RµνRµν,RµνσδRµνσδ), the solutions seamlessly connect with those of General Relativity and we show and example in power Gauss-Bonet gravity and implications. This distinction highlights the nuanced interplay between higher-order curvature terms and their impact on gravitational dynamics, offering new insights into the landscape of modified gravity theories. Second, within the gauge-invariant framework devised by Nakamura, we have derived perturbation equations at both first and second orders for arbitrary backgrounds in f(R) theories of gravity. These equations are used in the context of cosmology, especially when dealing with first-order perturbations in f(R). Within this framework, we have successfully formulated gauge-invariant linear equations for scalar, vector, and tensor perturbations. This generalized formulation not only provides a comprehensive perspective on perturbations but also outlines a systematic approach for transitioning to specific gauges. Consequently, we have obtained and analyzed specific gauges, such as the Newtonian and synchronous gauges, within this formalism, and we have subsequently compared our findings with existing results in the literature.Impacto PaisDoctorado102 páginasapplication/pdfengUniversidad de los AndesDoctorado en Ciencias - FísicaFacultad de CienciasDepartamento de FísicaPerturbative Approaches to Modified GravityTrabajo de grado - Doctoradoinfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_db06Texthttps://purl.org/redcol/resource_type/TDCosmologyGeneral relativityModified gravityFísicainfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2200114811Publicationhttps://scholar.google.es/citations?user=euepDO8AAAAJhttps://scholar.google.es/citations?user=euepDO8AAAAJvirtual::23052-10000-0001-7367-15830000-0001-7367-1583virtual::23052-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000154482virtual::23050-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0001572334https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0001572334virtual::23052-16ce2beec-157c-481d-8faa-d682fa74a732virtual::23050-126698c68-950d-42d7-bf03-6e50b8aba650virtual::23052-126698c68-950d-42d7-bf03-6e50b8aba6506ce2beec-157c-481d-8faa-d682fa74a732virtual::23050-126698c68-950d-42d7-bf03-6e50b8aba650virtual::23052-1ORIGINALPerturbative Approaches to Modified Gravity.pdfPerturbative Approaches to Modified Gravity.pdfapplication/pdf2309972https://repositorio.uniandes.edu.co/bitstreams/d13da1f8-2d67-4342-8e2c-0eecbdd9ed05/downloadfc2a942ca2cd4b63a53a5aac88c4580bMD52firma_tesis_dani_signed.pdffirma_tesis_dani_signed.pdfHIDEapplication/pdf281594https://repositorio.uniandes.edu.co/bitstreams/e50ea656-4159-4981-9168-4552d808dbef/download7e9d745e39e812a32045f8c33af5d45fMD54LICENSElicense.txtlicense.txttext/plain; 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