Anisotropic Compact Stars in $f(G)$ Gravity

TL;DR

This study explores the modeling of anisotropic compact stars within the modified Gauss-Bonnet gravity framework, using analytical solutions and observational data to analyze their physical properties and stability.

Contribution

It introduces a novel application of $f(G)$ gravity to model anisotropic compact stars using the Krori and Barua metric with observational data.

Findings

Stars satisfy regularity conditions

Stars are stable under analysis

Model fits observational data

Abstract

This paper is devoted to study the possibility of forming anisotropic compact stars in modified Gauss-Bonnet, namely called as $f(G)$ theory of gravity which is one of the strong candidates,responsible for the accelerated expansion of the universe. For this purpose, we have used analytical solution of Krori and Barua metric to the Einstein field equations with anisotropic form of matter and power law model of $f(G)$ gravity. To determine the unknown constants in Krori and Barua metric, we have used the sample of compact stars, 4$U$1820-30, Her X-1, SAX J 1808-3658. The physical behavior of these stars have been analyzed with the observational data. In this setting, we have checked all the regularity conditions and stability of the compact stars 4$U$1820-30, Her X-1, SAX J1808-3658.