Singularidades do espaço-tempo em variedades de Weyl
In this paper, we analyze the existence of space-time singularities from the point of view of geodesic incompleteness. We apply this method, also used to prove the wellknown Hawking-Penrose theorems which states that unless the matter content of the Universe present unusual and exotic properties, th...
| Autor: | |
|---|---|
| Tipo de documento: | dissertação |
| Estado: | Versão publicada |
| Data de publicação: | 2013 |
| País: | Brasil |
| Recursos: | Universidade Federal da Paraíba (UFPB) |
| Repositório: | Biblioteca Digital de Teses e Dissertações da UFPB |
| Idioma: | português |
| OAI Identifier: | oai:repositorio.ufpb.br:tede/5740 |
| Acesso em linha: | https://repositorio.ufpb.br/jspui/handle/tede/5740 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Singularidades Geometria de Weyl Teoria de Brans-Dicke Singularities Weyl Geometry Brans-Dicke Theory CIENCIAS EXATAS E DA TERRA::FISICA |
| Resumo: | In this paper, we analyze the existence of space-time singularities from the point of view of geodesic incompleteness. We apply this method, also used to prove the wellknown Hawking-Penrose theorems which states that unless the matter content of the Universe present unusual and exotic properties, the general theory of relativity predicts that space-time singularities will develop either in the past of in the future. In this dissertation we regard this question in different context, namely, by considering alternative gravitational theories formulated in a Weyl integrable geometry (WIST). We extend the Hawking-Penrose theorems to this kind of non-riemannian geometry and obtain conditions for escaping the inevitability of space-time singularities. We also consider the issue of changing frames in scalar-tensor theories and provide a geometric overview of Dickes interpretation of Brans-Dicke theory by unifying the treatment of frames in a weylian scenario. |
|---|