Paredes de domínio planas na relatividade geral e nas teorias híbridas da gravitação

Abstract

In this work we describe flat domain walls using general relativity and hybrid theories of gravitation that combine the metric and Palatini formalisms. We also analyze these bodies in Minkowski spacetime. The scalar-tensor representation of the hybrid theories is used to facilitate the mathematical calculations. The field equations for the hybrid case were transformed into a single second-order nonlinear differential equation, whose unknowns are three functions that depend on the same variable. These functions are the potential, the scalar field and the metric coefficient. To obtain an equation with one unknown, we imposed two of these functions. This was done twice by imposing distinct pairs and in each case we analyzed the resulting differential equation at points very far from the domain wall and at points very close to the origin.