Eur. Phys. J. C (2018) 78: 370
https://doi.org/10.1140/epjc/s10052-018-5865-2

Regular Article - Theoretical Physics

Gravitational decoupled anisotropies in compact stars

¹ Departament de Física Quàntica i Astrofísica, Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona, Martí i Franquès 1, 08028, Barcelona, Spain
² Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna 4860, Santiago, Chile

^* e-mail: gabbanelli@icc.ub.edu

Received: 14 March 2018
Accepted: 1 May 2018
Published online: 10 May 2018

Abstract

Simple generic extensions of isotropic Durgapal–Fuloria stars to the anisotropic domain are presented. These anisotropic solutions are obtained by guided minimal deformations over the isotropic system. When the anisotropic sector interacts in a purely gravitational manner, the conditions to decouple both sectors by means of the minimal geometric deformation approach are satisfied. Hence the anisotropic field equations are isolated resulting a more treatable set. The simplicity of the equations allows one to manipulate the anisotropies that can be implemented in a systematic way to obtain different realistic models for anisotropic configurations. Later on, observational effects of such anisotropies when measuring the surface redshift are discussed. To conclude, the consistency of the application of the method over the obtained anisotropic configurations is shown. In this manner, different anisotropic sectors can be isolated of each other and modeled in a simple and systematic way.