Investigating Strange Stars in Rastall Theory

TL;DR

This paper models strange stars within Rastall gravity, deriving solutions that match observational data and analyzing their stability, finding the model to be stable and accurate for certain parameters.

Contribution

It introduces a new model of strange stars in Rastall theory using the Finch-Skea ansatz and observational constraints, which was not previously explored.

Findings

Model is stable under multiple criteria.

Accurately predicts mass and radius for specific Rastall parameters.

Provides a viable alternative to general relativity for compact stars.

Abstract

This study explores the structural formation of various spherically symmetric anisotropic stars within the framework of Rastall theory. To achieve this, we derive modified field equations which are then resolved using the Finch-Skea ansatz, which involve unknown parameters $(A_1,A_2,A_3)$. These parameters are found by using appropriate constraints given by the junction conditions, in addition to observational data from some selected stars. The $\mathbb{EOS}$ given by the $\mathbb{MIT}$ bag model is employed to examine the interior structure and various physical properties of these compact objects. For calculated values of the bag constant $\mathcal{B}$ and two values of the Rastall parameter, $\xi = 0.3, 0.5$, we investigate the regularity and viability of the state variables. Additionally, we analyze stability of the developed model by employing three distinct criteria. We find that the obtained model is stable and provides an accurate approximation for the mass and radius of strange stars when the Rastall parameter $\xi = 0.3$ is considered.