The Gravitational decoupling method: the higher dimensional case to find new analytic solutions

TL;DR

This paper extends the gravitational decoupling method to higher dimensions, enabling the derivation of new analytic solutions for higher dimensional stellar models, including a novel five-dimensional anisotropic solution.

Contribution

The paper introduces a higher dimensional extension of the gravitational decoupling method, resulting in new analytic solutions for stellar distributions in higher dimensions.

Findings

Developed a higher dimensional gravitational decoupling framework.

Derived a new five-dimensional anisotropic solution.

Produced well-behaved solutions applicable to higher dimensional stars.

Abstract

We provide a higher dimensional extension of the gravitational decoupling method. This extended method allows to obtain new analytic and well behaved solutions that could be associated to higher dimensional stellar distributions. Furthermore, we find a new five dimensional anisotropic and well behaved analytical solution.