Eur. Phys. J. C (2018) 78: 122
https://doi.org/10.1140/epjc/s10052-018-5606-6

Regular Article - Theoretical Physics

Anisotropic solutions by gravitational decoupling

¹ Institute of Physics and Research Centre of Theoretical Physics and Astrophysics, Faculty of Philosophy and Science, Silesian University in Opava, 746 01, Opava, Czech Republic
² Departamento de Física, Universidad Simón Bolívar, AP 89000, Caracas, 1080A, Venezuela
³ Dipartimento di Fisica e Astronomia, Alma Mater Università di Bologna, Via Irnerio 46, 40126, Bologna, Italy
⁴ Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, I.S. FLAG, Viale Berti Pichat 6/2, 40127, Bologna, Italy
⁵ Centro de Matemática, Computação e Cognição, Universidade Federal do ABC (UFABC), Santo André, SP, 09210-580, Brazil
⁶ Departamento de Matemáticas, Universidad de Antofagasta, Antofagasta, Chile

^* e-mail: jovalle@usb.ve

Received: 23 September 2017
Accepted: 1 February 2018
Published online: 10 February 2018

Abstract

We investigate the extension of isotropic interior solutions for static self-gravitating systems to include the effects of anisotropic spherically symmetric gravitational sources by means of the gravitational decoupling realised via the minimal geometric deformation approach. In particular, the matching conditions at the surface of the star with the outer Schwarzschild space-time are studied in great detail, and we describe how to generate, from a single physically acceptable isotropic solution, new families of anisotropic solutions whose physical acceptability is also inherited from their isotropic parent.