Eur. Phys. J. Plus (2018) 133: 428
https://doi.org/10.1140/epjp/i2018-12291-7

Regular Article

A simple method to generate exact physically acceptable anisotropic solutions in general relativity

¹ Institute of Physics and Research Centre of Theoretical Physics and Astrophysics, Faculty of Philosophy and Science, Silesian University in Opava, CZ-746 01, Opava, Czech Republic
² Departamento de Fısica, Universidad Simón Bolívar, AP 89000, 1080A, Caracas, Venezuela
³ Departamento de Matemáticas, Universidad de Antofagasta, Antofagasta, Chile

^* e-mail: jovalle@usb.ve

Received: 4 July 2018
Accepted: 29 August 2018
Published online: 19 October 2018

Abstract

By using the gravitational decoupling through the minimal geometric deformation approach (MGD-decoupling), we show a simple and powerful approach to generate physically acceptable exact analytical solutions for anisotropic stellar distributions in general relativity. We find that some perfect fluid configurations could be incompatible with anisotropic effects produced by scalar fields.