Eur. Phys. J. C (2020) 80: 463
https://doi.org/10.1140/epjc/s10052-020-8042-3

Regular Article - Theoretical Physics

Extra packing of mass of anisotropic interiors induced by MGD

¹ School of Physical Sciences and Nanotechnology, Yachay Tech University, 100119, Urcuquí, Ecuador
² Departamento de Física, Facultad de Ciencias Básicas, Universidad de Antofagasta, Casilla 170, Antofagasta, Chile
³ Departamento de Física, Colegio de Ciencias e Ingeniería, Universidad San Francisco de Quito, Quito, Ecuador

^* e-mail: econtreras@usfq.edu.ec

Received: 2 March 2020
Accepted: 9 May 2020
Published online: 23 May 2020

Abstract

In this work we investigate the extra packing of mass within the framework of gravitational decoupling by means of Minimal Geometric Deformation approach. It is shown that, after a suitable set of the free parameters involved, the like-Tolman IV solution extended by Minimal Geometric Deformation not only acquire extra packing of mass but it corresponds to a stable configuration according to the adiabatic index criteria. Additionally, it is shown that the extra packing condition induce a lower bound on the compactness parameter of the seed isotropic solution and a stringent restriction on the decoupling parameter.