Eur. Phys. J. C (2020) 80: 324
https://doi.org/10.1140/epjc/s10052-020-7882-1

Regular Article - Theoretical Physics

Class I approach as MGD generator

¹ Departamento de Física, Facultad de ciencias básicas, Universidad de Antofagasta, Casilla 170, Antofagasta, Chile
² Department of Mathematical and Physical Sciences, College of Arts and Science, University of Nizwa, Nizwa, Sultanate of Oman
³ Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile

^* e-mail: francisco.tello@ua.cl

Received: 21 November 2019
Accepted: 26 March 2020
Published online: 15 April 2020

Abstract

In this work we build a relativistic anisotropic admissible compact structures. To do so we combine the class I approach with gravitational decoupling in order to generate the deformation function f(r). As an example we have re-anisotropized two anisotropic matter distributions previously obtained by the class I procedure. To produce all the graphical study supporting this analysis, we have considered the data corresponding to the compact object 4U 1538-52, SMC X-1 and LMC X-4 for model 1 and Cen X-3 for model 2. In considering the last one, we have taken the constant parameter to be . It is found that the resulting models satisfy all the general requirement in order to represent or describe realistic compact structures such as neutron or quark stars.