The extended Gravitational Decoupling method in Pure Lovelock gravity

We provide an extension of the gravitational decoupling method in Pure Lovelock gravity. Thus, it is developed an algorithm that shows how to decouple gravitational sources in this theory. This extended 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 in the action. Furthermore, by using our extension, we show that by applying the minimal geometric deformation to the Anti de Sitter space time it is possible to obtain regular black hole solutions.

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