Eur. Phys. J. Plus (2019) 134: 168
https://doi.org/10.1140/epjp/i2019-12555-8

Regular Article

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

¹ Departamento de Física, Facultad de ciencias básicas, Universidad de Antofagasta, Casilla 170, Antofagasta, Chile
² Instituto de Matemática, Física y Estadística, Universidad de las Américas, Manuel Montt 948, Providencia, Santiago, Chile
³ Universidad Tecnológica de Chile, INACAP, Santiago, Chile

^* e-mail: milko.estrada@ua.cl

Received: 26 October 2018
Accepted: 4 February 2019
Published online: 19 April 2019

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.