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In the present work, we study about highly dense compact stars which are madeof quarks, specially strange quarks, adopting the Krori-Barua(KB)~\cite{Krori1975} metric in the framework of $f(R,T)$ gravity. The equationof state (EOS) of a strange star can be represented by the MIT bag model as$p_r(r)=\frac{1}{3}[\rho(r)-4B_g]$ where $B_g$ is the bag constant, arises dueto the quark pressure. Main motive behind our study is to find out singularityfree and physically acceptable solutions for different features of strangestars. Here we also investigate the effect of alternative gravity in theformation of strange stars. We find that our model is consistent with variousenergy conditions and also satisfies Herrera's cracking condition, TOVequation, static stability criteria of Harrison-Zel$'$dovich-Novikov etc. Thevalue of the adiabatic indices as well as the EOS parameters re-establish theacceptability of our model. Here in detail we have studied specifically threedifferent strange star candidates, viz. $PSRJ~1614~2230, Vela~X-1$ and$Cen~X-3$. As a whole, present model fulfils all the criteria for stability.Another fascinating point we have discussed is the value of the bag constantwhich lies in the range $(40-45)$~MeV/fm$^{3}$. This is quite smaller than thepredicted range, i.e., $(55-75)$~MeV/fm$^{3}$ ~\cite{Farhi1984,Alcock1986}. Thepresence of the constant ($\chi$), arises due to the coupling between matterand geometry, is responsible behind this reduction in $B_g$ value. For$\chi=0$, we get the higher value for $B_g$ as the above mentioned predictedrange.

Strange stars in Krori-Barua space-time under f(R; T) gravity