Sistemas de mundo brana com gravitação modificada f(R) generalizada e branas curvas

Abstract

In this work we will show that the so-called “brane world” framework introduced by Randall-Sundrum (RS), to represent our Universe, at the late nineties can be represented in fact by bent branes in de Sitter and Anti-de Sitter space with a generalized model for gravity. At the beginning, the RS scenario represent a Universe in five dimensions where the Standard Model is confined in one brane and the gravitons were confined in the another one. This model was build with a warped Minkowski metric with five dimensions where the gravitons, which are responsible by the gravitational field, are able to move through the fifth dimension, which is infinity. The standard general relativity action, namely, the Einstein-Hilbert action, was the one used by RS. In this Master dissertation we will adopt a modified action used at present to explain some cosmological effects like dark energy and Universe expansion, for example, i.e., we will use an action with a modified gravitation called f(R). However, here we will use a generalized f(R) and their cosmological consequences and viability will be analyzed. Finally, we will show that the particles of the Standard Model are confined at this bent brane. The results obtained here generalize altogether the others results obtained in the current literature concerning braneworlds with thick branes and are, consequently, new ones, which will be published elsewhere.