Energy Conditions Constraints and Stability of Power Law Solutions in f(R,T) Gravity

Understand

The energy conditions are derived in the context of $f(R,T)$ gravity, where $R$ is the Ricci scalar and $T$ is the trace of the energy-momentum tensor, which can reduce to the well-known conditions in $f(R)$ gravity and general relativity.

• We present the general inequalities set by the energy conditions in terms of Hubble, deceleration, jerk and snap parameters.
• In this study, we concentrate on two particular models of $f(R,T)$ gravity namely, $f(R)+\lambda{T}$ and $R+2f(T)$.
• The exact power-law solutions are obtained for these two cases in homogeneous and isotropic $f(R,T)$ cosmology.