Eur. Phys. J. C (2019) 79: 826
https://doi.org/10.1140/epjc/s10052-019-7358-3

Regular Article - Theoretical Physics

Isotropization and change of complexity by gravitational decoupling

¹ Dipartimento di Fisica e Astronomia, Alma Mater Università di Bologna, via Irnerio 46, 40126, Bologna, Italy
² Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, I.S. FLAG viale Berti Pichat 6/2, 40127, Bologna, Italy
³ School of Physical Sciences and Nanotechnology, Yachay Tech University, 100119, Urcuquí, Ecuador
⁴ 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
⁵ Departamento de Física, Universidad Simón Bolívar, Apartado 89000, Caracas, 1080A, Venezuela
⁶ Departamento de Matemáticas, Universidad de Antofagasta, Antofagasta, Chile

^* e-mail: jovalle@usb.ve

Received: 5 September 2019
Accepted: 29 September 2019
Published online: 8 October 2019

Abstract

We employ the gravitational decoupling approach for static and spherically symmetric systems to develop a simple and powerful method in order to (a) continuously isotropize any anisotropic solution of the Einstein field equations, and (b) generate new solutions for self-gravitating distributions with the same or vanishing complexity factor. A few working examples are given for illustrative purposes.