Teoria escalar-tensorial: Uma abordagem geométrica

• Autor(a) principal: Almeida, Tony Silva
• Data de Publicação: 2014
• Tipo de documento: Tese
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UFPB
• Texto Completo: https://repositorio.ufpb.br/jspui/handle/tede/9531
• topic: Teoria escalar-tensor; Teoria de Brans-Dicke; Geometria de Weyl; singularidade nua; Buraco de minhoca; Gravitação em (2+1)D; Scalar-tensor theories; Brans-Dicke theory; Weyl integrable geometry; Naked singularity; Wormhole; (2+1) gravity; CIENCIAS EXATAS E DA TERRA::FISICA

In this cool thesis, we consider an approach to Brans-Dicke theory of gravity in which the scalar eld has a geometrical nature. By postulating the Palatini variation, we nd out that the role played by the scalar eld consists in turning the space-time geometry into a Weyl integrable manifold. This procedure leads to a scalar-tensor theory that di ers from the original Brans-Dicke theory in many aspects and presents some new features. We also consider the Weyl integrable geometry to investigate gravity in (2+1)-dimensions. We show that, in addition to leading to a Newtonian limit, WIST in (2+1) dimensions presents some interesting properties that are not shared by Einstein theory, such as geodesic deviation between particles in a dust distribution. Finally, taking advantage of the duality between the geometrical scalar-tensor theory and general relativity coupled with a massless scalar eld we study naked singularities and wormholes.