Gravitational Decoupled Anisotropic Solutions in $f(\mathcal{G})$ Gravity

Abstract

In this paper, we investigate anisotropic static spherically symmetric solutions in the framework of $f(\mathcal{G})$ gravity through gravitational decoupling approach. For this purpose, we consider Krori and Barua (known solution) isotropic interior solution for static spherically symmetric self-gravitating system and extend it to two types of anisotropic solutions. We examine the physical viability of our models through energy conditions, squared speed of sound and anisotropy parameter. It is found that the first solution is physically viable as it fulfills the energy bounds as well as stability criteria while the second solution satisfies all energy bounds but is unstable at the core of the compact star.

21 pages, 6 figures

References in corpus (7)

• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• A class of relativistic stars with a linear equation of state
• Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
• Gravitational Decoupled Charged Anisotropic Spherical Solutions
• Anisotropic Compact Stars in $f(G)$ Gravity
• Possibility of higher dimensional anisotropic compact star

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