Eur. Phys. J. C (2018) 78: 960
https://doi.org/10.1140/epjc/s10052-018-6450-4

Regular Article - Theoretical Physics

Black holes by gravitational decoupling

¹ Faculty of Philosophy and Science, Institute of Physics and Research Centre of Theoretical Physics and Astrophysics, 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), 09210-580, Santo André, SP, Brazil
⁶ Departamento de Matemáticas, Universidad de Antofagasta, Antofagasta, Chile

^* e-mail: jovalle@usb.ve

Received: 18 July 2018
Accepted: 13 November 2018
Published online: 21 November 2018

Abstract

We investigate how a spherically symmetric fluid modifies the Schwarzschild vacuum solution when there is no exchange of energy-momentum between the fluid and the central source of the Schwarzschild metric. This system is described by means of the gravitational decoupling realised via the minimal geometric deformation approach, which allows us to prove that the fluid must be anisotropic. Several cases are then explicitly shown.