Cosmology of Holographic and New Agegraphic $f(R,T)$ Models

Understand

We consider the $f(R,T)$ theory, where $R$ is the scalar curvature and $T$ is the trace of energy-momentum tensor, as an effective description for the holographic and new agegraphic dark energy and reconstruct the corresponding $f(R,T)$ functions.

• In this study, we concentrate on two particular models of $f(R,T)$ gravity namely, $R+2A(T)$ and $B(R)+\lambda{T}$.
• We conclude that the derived $f(R,T)$ models can represent phantom or quintessence regimes of the universe which are compatible with the current observational data.
• In addition, the conditions to preserve the generalized second law of thermodynamics are established.