Finch-Skea Solutions of Anisotropic Stellar Models in $f(R)$ Gravity

TL;DR

This paper models strange stars within $f(R)$ gravity, deriving physical parameters and mass-radius relations without assuming an equation of state, and verifies their physical viability and stability.

Contribution

It introduces a new $f(R)$ gravity model for strange stars that fits observed data without requiring an equation of state.

Findings

Mass-Radius relation accommodates stars up to 2.5 solar masses

Model satisfies regularity and stability conditions

Physical parameters align with observed star data

Abstract

Present paper deals with the composition and modelling of compact dense astrophysical bodies under the framework of $f(R)$ gravity. The model is employed on various observed strange stars viz., SMC X-1, SAX J1808.4-3658, Swift J1818.0-1607, PSR J1614-2230 and PSR J0348+0432. Upon setting the appropriate value of dimensionless coupling parameter $\lambda $, the physical parameters such as the density, the radial and tangential pressures were obtained. Mass-Radius relation without presuming any equation of state is capable enough to accommodate all strange stars nearly having solar mass up to 2.5. The physical viability of the model is examined for all the aforementioned stars and it is found that all the regularity and stability conditions are satisfied.