Compatibility of Gravitational Baryogenesis with theoretical framework of f(R,G,T) Gravity

The primary goal of this article is to analyze the disproportion between matter and antimatter in the Universe using the phenomenon of gravitational baryogenesis under the framework of $f(R,G,T)$ gravity, where $R$, $G$ and $T$ are Ricci Scalar, Gauss–Bonnet invariant and the trace of energy momentum tensor. This phenomenon based on charge parity violation interactions and in this article we generate it through the coupling between the baryon matter current ($J^{\nu }$) and ${\partial }_{\nu }(R+G+T)$ as well as for generalized case with ($J^{\nu }$) and ${\partial }_{\nu }f(R+G+T)$. We evaluate the ratio $\frac{{\eta }_{{}_B}}{S}$ (baryon to entropy) of the propose model of $f(R,G,T)$ gravity for gravitational baryogenesis and generalized gravitational baryogenesis with power-law form consideration for the scale factor in different eras of the Universe. We notice that the results of ($\frac{{\eta }_{{}_B}}{S}$) are compatible with its observational bound under the optimal choice of model parameters and hence we say that this gravity is good for gravitational baryogenesis under certain constraints of model parameters.