Banca de QUALIFICAÇÃO: JONATAS ARIZILANIO DA SILVA

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
DISCENTE : JONATAS ARIZILANIO DA SILVA
DATA : 15/03/2023
HORA: 14:00
LOCAL: Auditório do Programa de Desenvolvimento da Pesquisa (PRODEPE) na FANAT, campus central da UERN
TÍTULO:

Aspects of the Standard Cosmological Model Modified by Signature Change from Colombeau Algebras

PALAVRAS-CHAVES:

Signature change; Colombeau Algebras; Energy-Momentum Tensor.

PÁGINAS: 35
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
SUBÁREA: Física Geral
ESPECIALIDADE: Relatividade e Gravitação
RESUMO:

Colombeau's algebras have provided an extremely solid mathematical framework for dealing with problems related to products of distributions, since this operation is well defined in these algebras, unlike the theory of Schwartz distributions. In this work we intend to use the tools provided by the algebras of Colombeau's full generalized functions to interpret the results obtained from the study of the change of the Friedmann-Lemaître-Robertson-Walker (FLRW) metric. In addition, we also intend to study the implications of using the sigmoid function as the function responsible for the sign change in Friedmann's equations and other equations that are influenced by the f(t) that changes the sign. As preliminary results, we develop the previously mentioned equations in the algebras of Colombeau's simplified generalized functions. Furthermore, we derive the necessary conditions for conservation of the energy-momentum tensor on the signature change surface.

MEMBROS DA BANCA:
Interna - 8072 - MARIA ALDINÊZ DANTAS
Externo à Instituição - WALTER MARTINS RODRIGUES - UFERSA
Externo à Instituição - GASTÃO SILVES FERREIRA FREDERICO - UFC