Cosmological Evolution in the Background of Non-Minimally Coupled Gravity

Abstract

In current cosmic scenario, an accelerated expansion era is being reported by various observations. The reasoning of such scenario is still unknown, the pres ence of an unknown energy component is seen which is named as DE. There are various approaches to discuss the existence of DE and present acceleration of universe. One of such attempts is the modification of Einstein’s gravity, here we attempt to explore this problem within the modified gravity based on non minimal matter-geometry coupling. We examine f(R,T,Q) theory (where R is the Ricci Scalar, T is the trace of EMT Tuv and Q = RuvTuv is interaction of EMT Tµν and Ricci Tensor Ruv). We formulate the dynamical equations in the back ground of FLRW model and find the result of non-conserved EMT using the divergence of the field equations. In this scenario test particles deviates from geodesic motion and an extra force is there due to non-minimal coupling. We appliedthis result to findanexpressionforenergydensityρforparticularchoice of Lagrangian. Furthermore, we discuss the energy bound on the modelparam eters and discuss the late time cosmic acceleration for best suitable parameters in accordance with recent observations.