Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity

TL;DR

This paper models anisotropic strange stars within $f(R,T)$ gravity using Tolman-Kuchowicz metric potentials, ensuring non-singular, stable solutions consistent with physical and observational constraints.

Contribution

It introduces a new non-singular anisotropic strange star model in $f(R,T)$ gravity with specific metric potentials and matches observational data, enhancing understanding of strange star properties.

Findings

Model satisfies energy conditions and stability criteria.

Results align with observed masses and radii of strange stars.

The equation of state parameters indicate physically viable configurations.

Abstract

In the current article, we study anisotropic spherically symmetric strange star under the background of $f(R,T)$ gravity using the metric potentials of Tolman-Kuchowicz type~\cite{Tolman1939,Kuchowicz1968} as $\lambda(r)=\ln(1+ar^2+br^4)$ and $\nu(r)=Br^2+2\ln C$ which are free from singularity, satisfy stability criteria and also well behaved. We calculate the value of constants $a$, $b$, $B$ and $C$ using matching conditions and the observed values of the masses and radii of known samples. To describe the strange quark matter (SQM) distribution, here we have used the phenomenological MIT bag model equation of state (EOS) where the density profile ($\rho$) is related to the radial pressure ($p_r$) as $p_r(r)=\frac{1}{3}(\rho-4B_g)$. Here quark pressure is responsible for generation of bag constant $B_g$. Motivation behind this study lies in finding out a non-singular physically acceptable solution having various properties of strange stars. The model shows consistency with various energy conditions, TOV equation, Herrera's cracking condition and also with Harrison-Zel$'$dovich-Novikov's static stability criteria. Numerical values of EOS parameter and the adiabatic index also enhance the acceptability of our model.