Charged compact objects by e–MGD approach

Abstract

In this work, we analyze the incidence of gravitational decoupling through the extended minimal geometric deformation (e–MGD) approach in the framework of f(R, T ) gravity theory, applying it on a spherically symmetric and static charged isotropic matter distribution. Specifically, the well– known Krori–Barua toy model is translated to an anisotropic domain by deforming the complete space–time. To do so, the so–called θ–sector has been solved by using the mimic constraint for the radial pressure and a general equation of state relating the components of the θµνsource. A thoroughly study on the main salient features of the output such as density, radial pressure, transverse pressure and anisotropy factor is performed to check the feasibility of the model, in order to determine whether this structure can represent real celestial bodies such as neutron stars. Furthermore, the consequences of e–MGD on some relevant astrophysical parameters, that is, the total mass M, gravitational redshift z and time dilation dτ around the object are explored. It is found that the maximum mass provided by this toy model is M = 2.506M⊙, corresponding to the massive neutron stars.

Complexity‐Free Anisotropic Solution of Buchdahl's Model and Energy Exchange Between Relativistic Fluids by Extended Gravitational Decoupling

“…The gravitational decoupling approach via minimal geometric deformation [ 60 ] and extended gravitational decoupling (EGD) [ 61 ] methods have been widely employed to study compact stars in GR and modified gravity theory as can be seen in the following Refs. [62–82] Recently, the gravitational decoupling methodology has been extended to include the concept of complexity. A wide spectrum of exact solutions have been obtained under the assumption of vanishing complexity within the framework of gravitational decoupling.…”