# A way of decoupling gravitational sources in pure Lovelock gravity

## TL;DR

This paper introduces an algorithm to decouple gravitational sources in pure Lovelock gravity, enabling the derivation of new and existing solutions, including regular black holes in anti-de Sitter spacetime with higher curvature effects.

## Contribution

The paper presents a novel algorithm for decoupling sources in pure Lovelock gravity, facilitating the construction of analytic solutions with extra dimensions and higher curvature terms.

## Key findings

- Derived new analytic solutions in pure Lovelock gravity.
- Showed how to obtain regular black holes from anti-de Sitter space.
- Demonstrated the application of minimal geometric deformation in this context.

## 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.