Starobinsky Inflation And The Order Reduction Technique

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dc.contributor.advisor1Piattella, Oliver Fabio
dc.contributor.advisor1IDhttps://orcid.org/0000000345580574
dc.contributor.advisor1Latteshttp://lattes.cnpq.br/5707156831919279
dc.contributor.authorMedeiros, Waleska Priscylla Florencio de
dc.contributor.referee1Fabris, Julio Cesar
dc.contributor.referee1IDhttps://orcid.org/000000018880107X
dc.contributor.referee1Latteshttp://lattes.cnpq.br/5193649615872035
dc.contributor.referee2Chapiro, Ilia
dc.contributor.referee2Latteshttp://lattes.cnpq.br/2644217574349073
dc.contributor.referee3Muller, Daniel
dc.contributor.referee4Moniz, Paulo Vargas
dc.contributor.referee5Apablaza, Ramon Alejandro Herrera
dc.date.accessioned2024-05-30T00:54:19Z
dc.date.available2024-05-30T00:54:19Z
dc.date.issued2022-10-03
dc.description.abstractThe order reduction technique (ORT) is an iterative method of solution of higher order di erential equations. It consists of treating the higher order terms perturbatively so that the lower order in the order reduction must be chosen according to which regime of solution the method is going to reproduce. In some cases, the presence of solutions that do not have physical behavior is observed, mainly associated with particularly higher order di erential equations. Nonetheless, as it is known in the literature, the order reduction method presents a smaller number of solutions, and with that, one of the intentions of the technique is to make it easier to select the solutions that present good physical behavior. However, it must be emphasized that one disadvantage of the method is that there could be some physical solutions that the order reduction will not detect. The ORT is applied to the following cases: 1. The study of the dynamics of the motion of a charged particle. 2. The harmonic oscillator. 3. The in ationary paradigm of Starobinsky. We show that, in the case of the examples cited above, the ORT as an iterative perturbative method does not show convergence in the oscillating regime of a weak coupling limit. This regime is excluded by the order reduction. In addition, the method shows good convergence in the strong coupling regime, non-oscillating which slowly approaches equilibrium. The main results discussed are based on the work [1].
dc.description.sponsorshipFundação Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.formatText
dc.identifier.urihttp://repositorio.ufes.br/handle/10/16287
dc.languagepor
dc.publisherUniversidade Federal do Espírito Santo
dc.publisher.countryBR
dc.publisher.courseDoutorado em Astrofísica, Cosmologia e Gravitação
dc.publisher.departmentCentro de Ciências Exatas
dc.publisher.initialsUFES
dc.publisher.programPrograma de Pós-Graduação em Astrofísica, Cosmologia e Gravitação
dc.rightsopen access
dc.subjectTécnica de redução de ordem
dc.subjectOscilador harmônico
dc.subjectInflação de Starobinsky
dc.subject.br-rjbnsubject.br-rjbn
dc.subject.cnpqAstronomia
dc.titleStarobinsky Inflation And The Order Reduction Technique
dc.typedoctoralThesis
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