$f(R,T)$ models applied to Baryogenesis

Abstract

This paper is devoted to the reproduction of the gravitational baryogenesis epoch in the context of $f(R,T)$ theory of gravity, where $R$ and $T$ are respectively the curvature scalar and the trace of the energy-momentum tensor, respectively. It is assumed a minimal coupling between matter and gravity. In particular we consider the following two models, $f(R,T)=R+\alpha T+\beta T^2$ and $f(R,T)=R+\mu R^2+\lambda T$, with the assumption that the universe is filled by dark energy and perfect fluid where the baryon to entropy ratio during a radiation domination era is non-zero. We constrain the models with the cosmological gravitational baryogenesis scenario, highlighting the appropriate values of model's parameters compatible with the observation data of the baryon-entropy ratio.

6 pages, 2 figures