Soluções das equações de Einstein em RSII pelo método de Imersão

Abstract

There are theoretical reasons, inspired in the theories of uni cation, 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 in nite length. One of the biggest challenges in this model is to nd exact solutions that represent black holes or stars that are con ned in the Brane. Our goal in this paper is to o er a method for obtaining of exact solutions that describes the matter that is con ned 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 ^aShifting, Re ecting and Stretching^a 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.