Anisotropic Strange Quintessence Stars in $f(R)$ Gravity

Abstract

In this paper, we have formulated the new exact model of quintessence anisotropic star in $f(R)$ theory of gravity. The dynamical equations in $f(R)$ theory with the anisotropic fluid and quintessence field have been solved by using Krori-Barua solution. In this case, we have used the Starobinsky model of $f(R)$ gravity. We have determined that all the obtained solutions are free from central singularity and potentially stable. The observed values of mass and radius of the different strange stars PSR J 1614-2230, SAXJ1808.4-3658(SS1), 4U1820- 30, PSR J 1614-2230 have been used to calculate the values of unknown constants in Krori and Barua metric. The physical parameters like anisotropy, stability and redshift of the stars have been investigated in detail.

arXiv comment20 Pages, 12 figures, Accepted for publication in Astrophys. Space Sci. arXiv admin note: substantial text overlap with arXiv:1412.2120

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• Ricci Inverse Anisotropic Stellar Structures
• Charge Gravastars in $f(T)$ Modified Gravity
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• Study on anisotropic strange stars in $f(\mathbb{T},\mathcal{T})$ gravity
• Hydrostatic equilibrium configurations of neutron stars in a non-minimal geometry-matter coupling theory of gravity
• Compact relativistic geometries in $f(R,G)$ gravity
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• Quintessence-Chameleon transitions in anisotropic Kiselev model of neutron stars