Soluções das equações de Einstein em RSII pelo método de imersão.

Abstract

There are theoretical reasons, inspired in the theories of unification, that allows us to believe in the existence of extra dimensions. In such a scenario, one of the most thought-provoking, according to the theoretical point of view is the Brane model known as RSII, in which our quadri-dimensional space-time is immerged in a space environment contains one extra dimension with infinite length. One of the biggest challenges in this model is to find exact solutions that represent black holes or stars that are confined in the Brane. Our goal in this paper is to offer a method for obtaining of exact solutions that describes the matter that is confined in the Brane starting from the already known metrics of the space environment with axial symmetry. To achieve this goal, we will use one indirect method for obtaining these solutions, the Immersion method, which consists in using the ˆaShifting, Reflecting and Stretchingˆa Method to the immersion formalism. With this, we can determine the physical properties of distribution of matter, pointing out that such a method can be used to Branes with any shapes. By studying some particular cases, we reproduced results already obtained before.