Abstract
This work is devoted to investigate some of the interior configuration of static anisotropic spherical stellar charged structures in the regime of f({mathcal {G}}) gravity, where {mathcal {G}} is the Gauss Bonnet invariant. The structure of particular charged stars is analyzed with the help of solution obtained by Krori and Barua under different viable models in f({mathcal {G}}) gravity theory. The behavior of some physical aspects is investigated with the help of plots and the viability of our modeling is analyzed through different energy conditions. We have also studied some behavior of these realistic charged compact stars and discuss some aspects like density variation, evolution of stresses, different forces, stability of these stars, measure of anisotropy, equation of state parameters and the distribution of charges.
Highlights
Despite of the great, well established and successful theory, the general theory of relativity, in the past century, numerous valuable modifications are being suggested by researchers
It has been attracting challenge to find the correct model for charged realistic geometry of interior compact objects in general relativity and in extended theories of gravity like f (G) gravity
We have considered the three-different observed compact stars, labeled as Vela X-1, SAX J 1808.4-3658, and 4U 1820-30
Summary
Well established and successful theory, the general theory of relativity, in the past century, numerous valuable modifications are being suggested by researchers. Some of the physical properties of different strange compact stars were studied in the framework of different modified gravity theories and it was concluded that all these strange stars under consideration are stable, matter content is realistic and obeys all the energy conditions [37,38,39]. We investigate the different structural properties, like evolution of charged matter density and anisotropic pressure, the Tolman–Oppenheimer–Volkoff equation, the stability, the equation of state parameters as well as the different energy conditions, for different observational data of compact stars. This paper is design as, in a very section, we discuss the modified f (G) gravity with charged anisotropic matter distribution of the static spherically symmetric geometry. We wish to examine the effects of anisotropic stresses over the stability of compact charged stars For this purpose, we take the distribution of matter content source to be anisotropic having the following mathematical formulation. The expression for Q contain a square-root which means both sign for charge are acceptable but we will consider the positive sign of charge for further investigation
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