A study of anisotropic compact star with MIT bag EoS in f(R,T) modified theory

TL;DR

This paper models anisotropic strange stars, specifically Her X-1, within f(R,T) gravity using the MIT bag model, and finds the model satisfies physical and observational constraints.

Contribution

It introduces a novel anisotropic star model in f(R,T) gravity with MIT bag EoS, analyzing its physical viability and observational consistency.

Findings

Model satisfies energy conditions and stability criteria.

Results align with observational data for Her X-1.

Parameter ranges are identified for physical acceptability.

Abstract

In the current study, we investigated a specific model of anisotropic strange stars specially Her X-1, in the background of modified f(R,T) gravity by choosing f(R,T) = R+2{\xi}T, where R is Ricci scalar, T is the trace of the energy-momentum tensor and {\xi} is a coupling constant. To obtained the solution for the modified field equations, we apply Buchdahl metric to our equations. We consider the case, when the matter is governed by MIT bag model equation of state as Pr =1/3({\rho} -4B), where B is bag constant. We calculate the values of unknown parameters using Schwarzschild interior space-time followed by choosing the appropriate values of parameter {\xi} , K, {\beta} and also tabulated different values of bag constant for different {\xi} . We examine the physical validity of our model by performing tests such as energy conditions, equilibrium of the forces, the adiabatic index, redshift and some more. The observational results showed that the proposed f(R,T) model satisfies all these tests and are quite acceptable.