LRS Bianchi I model with strange quark matter and Λ(t) in f(R,T) gravity

A spatially homogeneous and anisotropic locally-rotationally-symmetric Bianchi type-I spacetime model with strange quark matter (SQM) and a variable cosmological term $\Lambda \left(t\right)$ is studied in $f(R,T)$ theory. The exact solutions are obtained for a particular form of $f(R,T)=R+2\lambda T$ under the law of variable deceleration parameter proposed by Banerjee et al (2005). The model presents a cosmological scenario of transition from early deceleration to late time acceleration. In the absence of $f(R,T)$ gravity and SQM, $\Lambda \left(t\right)$ accelerates the universe. In a specific case when $\Lambda \left(t\right)$ vanishes at late times, the SQM accelerates the universe, even in the absence of $f(R,T)$ gravity. The model shows the possibility that SQM could be an alternative to dark energy. The physical viability of the model costs the observational inconsistency.