Gravitational decoupled charged anisotropic spherical solutions

Abstract

The purpose of this paper is to obtain exact solutions for charged anisotropic spherically symmetric matter configuration. For this purpose, we consider known solution for isotropic spherical system in the presence of electromagnetic field and extend it to two types of anisotropic charged solutions through gravitational decoupling approach. We examine physical characteristics of the resulting models. It is found that only first solution is physically acceptable as it meets all the energy bounds as well as stability criterion. We conclude that stability of the first model is enhanced with the increase of charge.

Anisotropic relativistic fluid spheres: an embedding class I approach

“…(ω r = p r /ρ) and (ω t = p t /ρ) are less than 1, proving Zeldovich's condition is satisfies everywhere inside the compact object. Furthermore, in Table 1 we have shown the possible values of the physical parameters a, A and B using parameters values of the compact star SAX J1808.4-3658 with mass Table 2 shows that the central energy density is within this range, which is in complete agreement with many other reported results in the literature [45][46][47][48][49][50][51][52][53][54][55][57][58][59][60][61][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80]. Figure 6 clearly shows that our stellar system fulfills all the energy conditions which are a basic condition for a compact astrophysical structure to be physically acceptable.…”

A way of decoupling gravitational sources in pure Lovelock gravity

“…Other examples of applications of the method are: solutions in Einstein Klein Gordon system [19]; solutions in f (G) gravity [20]; solutions in f (R) gravity [21],cloud of strings solutions [22]. See other applications in references [23][24][25][26][27][28][29][30][31][32].…”

A simple method to generate exact physically acceptable anisotropic solutions in general relativity

“…The above is very significant for two reasons. First, we see the protocol works very well as long as the anisotropic source θ µν remains generic [1,23,24,26,28,31,33]. However, if we consider a specific gravitational source θ µν which does not have enough degrees of freedom, the protocol could fail.…”