Homogeneous cosmological models in Weyl’s Geometrical scalar–tensor theory

• Autor(a) principal: BARROS, Adriano Trindade de.
• Data de Publicação: 2023
• Outros Autores: ROMERO FILHO, Carlos Augusto.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UFCG
• Texto Completo: http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/36124
• topic: Cosmological models; Modelos cosmológicos; Weyl geometry; Geometria de Weyl; Scalar-tensor theory; Tensor de Weyl; Teoria geométrica escalar-tensor de Weyl; Teoria do tensor escalar; Weyl scalar-tensor geometric theory; Física.

In this paper, we consider homogeneous cosmological solutions in the context of the Weyl geometrical scalar–tensor theory. Firstly, we exhibit an anisotropic Kasner type solution taking advantage of some similarities between this theory and the Brans–Dicke theory. Next, we consider an isotropic model with a flat spatial section sourced by matter configurations described by a perfect fluid. In this model, we obtain an analytical solution for the stiff matter case. For other cases, we carry out a complete qualitative analysis theory to investigate the general behaviour of the solutions, presenting some possible scenarios. In this work, we do not consider the presence of the cosmological constant nor do we take any potential of the scalar field into account. Because of this, we do not find any solution describing the acceleration of the universe.