Geometria de Weyl e A teoria gravitacional de Nordström

• Autor(a) principal: Almeida, Tony Silva
• Data de Publicação: 2010
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UFPB
• Texto Completo: https://repositorio.ufpb.br/jspui/handle/tede/5731
• topic: Relatividade especial; Geometria de Weyl; Gravitação escalar; Teoria de Nordström; Special relativity; Weyl geometry; Scalar gravity Nordström theory; CIENCIAS EXATAS E DA TERRA::FISICA

In this disssertation we are concerned with Nordström s scalar gravity theory, one of the first attempts to formulate a relativistic theory of gravitation. We start be describing the theory in its original formulation given by Nordström. We then proceed to show how Nordström s approach is equivalent to a metric theory of gravity which regards gravity as a manifestation of spacetime curvature, a result first obtained by Einstein and Fokker in 1914. We exlore this formal equivalence between the two approaches to derive Nordström s predictions of some observed phenomena, such as Mercury s perihelium and the time delay of the light. finally we consider a third approach which makes use of Weyl geometry through its concept of gauge transformations. We then show that one can regard both Nordström s and Einstein-Fokker s framework as equivalent to a theory formulated to a theory formulated in minkowski spacetime in which the gravitational field is encoded in a non-trivial affine connection.