Abstract
We provide an algorithm that shows how to decouple gravitational sources in pure Lovelock gravity. This method allows to obtain several new and known analytic solutions of physical interest in scenarios with extra dimensions and with presence of higher curvature terms. Furthermore, using our method, it is shown that applying the minimal geometric deformation to the Anti de Sitter space time it is possible to obtain regular black hole solutions.
Highlights
In the last years, several branches of theoretical physics have predicted the presence of extra dimensions
In this work we provide a Gravitational Decoupling method in Pure Lovelock gravity, and we show a simple approach to decoupling gravitational sources in this theory
We apply our method to a seed Anti de Sitter space time and, we test if it is possible to obtain a solution of physical interest that represents regular black holes
Summary
Several branches of theoretical physics have predicted the presence of extra dimensions. The two solutions can be combined in order to derive the complete solution for the total system.” By applying this method to a solution of Einstein equations, named seed solution, it is possible to obtain new analytic solutions of physical interest. By deforming the Schwarzschild space time new black hole solutions have been obtained in Ref. Since Pure Lovelock theory has free divergence, the energy momentum tensor satisfies the conservation equation:. In this work we provide a Gravitational Decoupling method in Pure Lovelock gravity, and we show a simple approach to decoupling gravitational sources in this theory. We will apply our method to an Anti de Sitter space time and, we will test if it is possible to obtain solutions that represent regular black holes
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