Radiación gravitacional cosmológica en el formalismo 1+3 para las teorías de gravedad f(R)

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dc.contributor.advisorCastañeda Colorado, Leonardospa
dc.contributor.authorRivera Amezquita, Marlon Zamihirspa
dc.contributor.researchgroupGrupo de Astronomía Galáctica, Gravitación y Cosmologíaspa
dc.date.accessioned2023-08-01T16:49:44Z
dc.date.available2023-08-01T16:49:44Z
dc.date.issued2022
dc.descriptionilustraciones, diagramasspa
dc.description.abstractLas ondas gravitacionales predichas por Albert Einstein [1], han tomado gran importancia desde su detección en el año 2015 [2]. Además de las fuentes astrofísicas, las ondas gravitacionales también pueden producirse en escenarios cosmológicos y pueden servir como pruebas para estudiar la viabilidad de las teorías de gravedad modificada [3]. En el formalismo covariante e invariante de gauge 1 + 3 [4] , la propagación de ondas gravitacionales esta descrita por la parte eléctrica y magnética del tensor de Weyl, o equivalentemente por el tensor de shear [5] . En este trabajo se realiza un calculo detallado de las diferentes ecuaciones que gobiernan las cantidades cinemáticas y dinámicas del formalismo 1 + 3, luego estudiando la teoría de perturbaciones para llegar a las ecuaciones de Onda para RG y para las teorías de gravedad modificada f(R). Se hallan soluciones para las épocas de radiación y materia en RG, y se estudian posibles soluciones de la ecuaciones de campo de onda para el modelo de Hu-Sawicki [6] , siguiendo las propuestas para la solución de las ecuaciones de campo dadas en [7, 8]. (Texto tomado de la fuente)spa
dc.description.abstractGravitational waves, predicted by Albert Einstein [1], have gained great importance since their detection in 2015 [2]. Besides astrophysical sources, gravitational waves can also be produced in cosmological scenarios and can serve as tests to study the viability of modified gravity theories [3]. In the covariant and gauge-invariant 1 + 3 formalism [4], the propagation of gravitational waves is described by the electric and magnetic part of the Weyl tensor, or equivalently by the shear tensor [5]. In this work, a detailed calculation of the different equations governing the kinematic and dynamic quantities of the 1+ 3 formalism is carried out, followed by the study of perturbation theory to obtain the Wave Equations for GR and for modified gravity theories f(R). Solutions are found for the radiation and matter epochs in GR, and possible solutions of the wave field equations are studied for the Hu-Sawicki model [6], following the proposals for solving the field equations given in [7, 8].eng
dc.description.degreelevelMaestríaspa
dc.description.degreenameMagíster en Ciencias - Físicaspa
dc.description.researchareaGravedad Modificadaspa
dc.format.extent103 páginasspa
dc.format.mimetypeapplication/pdfspa
dc.identifier.instnameUniversidad Nacional de Colombiaspa
dc.identifier.reponameRepositorio Institucional Universidad Nacional de Colombiaspa
dc.identifier.repourlhttps://repositorio.unal.edu.co/spa
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/84392
dc.language.isospaspa
dc.publisherUniversidad Nacional de Colombiaspa
dc.publisher.branchUniversidad Nacional de Colombia - Sede Bogotáspa
dc.publisher.facultyFacultad de Cienciasspa
dc.publisher.placeBogotá, Colombiaspa
dc.publisher.programBogotá - Ciencias - Maestría en Ciencias - Físicaspa
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dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.rights.licenseReconocimiento 4.0 Internacionalspa
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/spa
dc.subject.ddc530 - Física::539 - Física modernaspa
dc.subject.lccGravitational waveseng
dc.subject.lembRadiación gravitacionalspa
dc.subject.lembGravitational radiationeng
dc.subject.proposalOndas Gravitacionalesspa
dc.subject.proposalGravitational waveseng
dc.subject.proposalTensor de Weylspa
dc.subject.proposalWeyl Tensoreng
dc.subject.proposalTeorías de gravedad modificada f(R)spa
dc.subject.proposalModified gravity theories f(R)eng
dc.subject.proposalFormalismo 1+3spa
dc.subject.proposal1 + 3 formalismeng
dc.subject.proposalHu-Sawickispa
dc.subject.proposalHu-Sawickieng
dc.titleRadiación gravitacional cosmológica en el formalismo 1+3 para las teorías de gravedad f(R)spa
dc.title.translatedCosmological gravitational radiation in the 1+3 formalism for f(R) gravity theorieseng
dc.typeTrabajo de grado - Maestríaspa
dc.type.coarhttp://purl.org/coar/resource_type/c_bdccspa
dc.type.coarversionhttp://purl.org/coar/version/c_ab4af688f83e57aaspa
dc.type.contentTextspa
dc.type.driverinfo:eu-repo/semantics/masterThesisspa
dc.type.redcolhttp://purl.org/redcol/resource_type/TMspa
dc.type.versioninfo:eu-repo/semantics/acceptedVersionspa
dcterms.audience.professionaldevelopmentEstudiantesspa
dcterms.audience.professionaldevelopmentInvestigadoresspa
dcterms.audience.professionaldevelopmentMaestrosspa
dcterms.audience.professionaldevelopmentPúblico generalspa
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