Energy Conditions in $f(R,T,R_{\mu\nu}T^{\mu\nu})$ Gravity

Understand

We discuss the validity of the energy conditions in a newly modified theory named as $f(R,T,R_{\mu\nu}T^{\mu\nu})$ gravity, where $R$ and $T$ represent the scalar curvature and trace of the energy-momentum tensor.

• The corresponding energy conditions are derived which appear to be more general and can reduce to the familiar forms of these conditions in general relativity, $f(R)$ and $f(R,T)$ theories.
• The general inequalities are presented in terms of recent values of Hubble, deceleration, jerk and snap parameters.
• In particular, we use two specific models recently developed in literature to study concrete application of these conditions as well as Dolgov-Kawasaki instability.