Kaluza–Klein cosmological model with strange-quark-matter in f(R,T) theory of gravity

Abstract

This work deals with the Kaluza–Klein cosmological model with strange-quark-matter in $f(R,T)$ theory of gravity, where R is the Ricci scalar and T is the trace of the energy–momentum tensor. To determine the solution of the field equation, we have assumed that scalar expansion $\theta$ is proportional to shear scalar ${\sigma }^2$ which leads to $R=A^m$, where R and A are metric potentials and m is constant. The cosmological parameters are investigated with the help of the equation of state strange-quark-matter (SQM) is $p=\frac{\rho -4B_c}{3}$, where $B_c$ is Bag constant. We have concentrated on the distances of cosmology such as the look-back time, proper distance, luminosity distance, angular-diameter distance and distance modulus which are presented graphically by using suitable data of $H_0$. The physical and geometrical properties of models are also discussed.