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 θ μ ν source. 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 d τ 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.