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

TL;DR

This paper develops a new exact model for anisotropic strange stars within $f(R)$ gravity, analyzing their stability, physical parameters, and matching observed star data.

Contribution

It introduces a novel exact solution for anisotropic strange stars in $f(R)$ gravity using the Krori-Barua approach with the Starobinsky model.

Findings

Solutions are free from central singularity.

Stars are potentially stable based on physical parameters.

Model matches observed mass and radius of specific strange stars.

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.