Anisotropic Compact Stars in $f(G)$ Gravity

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.

Version accepted in "Astrophysics and Space Science"

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• Tolman-Oppenheimer-Volkoff equations in non-local $f(R)$ gravity
• Anisotropic Spherical Solutions through Extended Gravitational Decoupling Approach
• Stellar Structures in $f(\mathcal{G})$ Gravity with Tolman-Kuchowicz Spacetime
• Impact of Tolman-Kuchowicz Potentials on Gauss-Bonnet Gravity and Isotropic Stellar Structures
• Charge Gravastars in $f(T)$ Modified Gravity
• Tolman IV fluid sphere in f(R, T) gravity
• Stellar Structures in $f(\mathcal{G})$ Gravity Admitting Noether Symmetries
• Energy Bounds in $f(R,G)$ Gravity with Anisotropic Background
• Unimodular $f(G)$ gravity
• Stellar Structures admitting Noether Symmetries in $f(\mathcal{R},\mathcal{T})$ Gravity
• Complexity of Charged Dynamical Spherical System in Modified Gravity
• Inflation and cosmological evolution with $F(R,G)$ gravity theory
• Exact $(1+3+6)$-dimensional cosmological-type solutions in gravitational model with Yang-Mills field, Gauss-Bonnet term and $\Lambda$-term
• Conflict between some higher-order curvature invariant terms