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

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arxiv 1811.08112 v1 pith:Q6WPAYXX submitted 2018-11-20 gr-qc

classification gr-qc
keywords solutionanisotropicenergysolutionsboundsgravitationalgravitymathcal
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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.

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Cited by 1 Pith paper

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  1. Isotropization and change of complexity by gravitational decoupling

    gr-qc 2019-09 conditional novelty 6.0 of 10

    A gravitational decoupling technique that continuously isotropizes anisotropic stellar solutions and generates new solutions with controlled complexity factor, demonstrated on two exact examples.

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