Gravitation with Gauss bonnet in 3+1 using palatini formalism

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dc.catalogadoryvc
dc.contributor.advisorBañados Lira, Máximo
dc.contributor.authorBennett Rebolledo, Daniela
dc.contributor.otherPontificia Universidad Católica de Chile. Instituto de Física
dc.date.accessioned2025-04-25T17:13:03Z
dc.date.available2025-04-25T17:13:03Z
dc.date.issued2025
dc.date.updated2025-04-23T01:40:30Z
dc.descriptionTesis (Master’s degree in Physics)--Pontificia Universidad Católica de Chile, 2025
dc.description.abstractA study was conducted on the Gauss-Bonnet term in gravitation within the Palatini framework. The study offers a different perspective when compared to the LeviCivita formalism on higher-order curvature terms. The inclusion of the GaussBonnet term allows us to explore its influence on the dynamics of spacetime and its potential contributions to the Einstein-Hilbert action with cosmologicalconstant and a spherically symmetric spacetime. A first-order perturbation analysis was conducted for the case of spherical symmetry, where non-trivial solutions dependent upon the Gauss-Bonnet term were found. On the other hand, in the cosmological case, it was noted that the Gauss-Bonnet term does not contribute towards first order solutions in the perturbation analysis. These results highlightthe potential of the Palatini approach to enrich our understanding of modified gravitational theories. The analysis shows that the Palatini approach to the GaussBonnet term introduces non-trivial modifications to field equations and exhibits the possibility of a symmetry of the Gauss-Bonnet term as Lagrangian density.
dc.fechaingreso.objetodigital2025-04-23
dc.format.extentiv; 52 páginas
dc.fuente.origenAutoarchivo
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/103466
dc.information.autorucInstituto de Física; Bennett Rebolledo, Daniela; S/I; 1217409
dc.information.autorucInstituto de Física; Bañados Lira, Máximo; 0000-0003-3238-7863; 1000636
dc.language.isoes
dc.nota.accesocontenido completo
dc.rightsacceso abierto
dc.rights.licenseAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleGravitation with Gauss bonnet in 3+1 using palatini formalism
dc.typetesis de maestría
sipa.codpersvinculados1217409
sipa.codpersvinculados1000636
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