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Effects of Charge on Gravitational Decoupled Anisotropic Solutions in f(R) Gravity

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arxiv 1906.07559 v1 pith:35KJWTD7 submitted 2019-06-17 gr-qc

Effects of Charge on Gravitational Decoupled Anisotropic Solutions in f(R) Gravity

classification gr-qc
keywords solutionsanisotropicchargeconditionschargeddecoupledeffectiveeffects
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This paper is devoted to studying charged anisotropic static spherically symmetric solutions through gravitationally decoupled minimal geometric deformation technique in $f(R)$ gravity. For this purpose, we first consider the known isotropic Krori-Barua solution for $f(R)$ Starobinsky model in the interior of a charged stellar system and then include the effects of two types of anisotropic solutions. The corresponding field equations are constructed and the unknown constants are obtained from junction conditions. We analyze the physical viability and stability of the resulting solutions through effective energy density, effective radial/tangential pressure, energy conditions, and causality condition. It is found that both solutions satisfy the stability range as well as other physical conditions for specific values of charge as well as model parameter and anisotropic constant. We conclude that the modified theory under the influence of charge yields more stable behavior of the self-gravitating system.

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