# Gravitational Baryogenesis in Non-Minimal Coupled $f(R,T)$ Gravity

## TL;DR

This paper explores gravitational baryogenesis within non-minimal f(R,T) gravity, demonstrating that certain CP-violating interactions can produce observed matter-antimatter asymmetry, with specific parameter constraints derived from the model.

## Contribution

It introduces a detailed analysis of baryogenesis mechanisms involving erivatives of R, T, and f(R,T) in non-minimal gravity, identifying conditions for successful baryon asymmetry.

## Key findings

- Baryogenesis feasible with erivatives of R and f(R,T)
- Parameter spaces constrained by observed baryon asymmetry
- Interaction with erivative of T incompatible with observations

## Abstract

Baryogenesis refers to the theoretical process that occurred in the early history of the universe producing excess of matter over antimatter. Hitherto, fundamental physics which can give rise to such events is unknown. Many theories have emerged which may be able to suffice this conundrum, although concrete understanding is obscure. Gravitational baryogenesis is one such theory introduced by H. Davoudiasl, et al., Phys. Rev. Lett. \textbf{93} (2004) 201301. In this theory, for a CP violating interaction proportional to $\partial_{\mu}R$, where R denote Ricci scalar, gravitational baryogenesis is inevitable. In this paper, we have investigated the consequences of CP violating interactions proportional to $\partial_{\mu}R$, $\partial_{\mu}T$ and $\partial_{\mu}f(R,T)$ in the framework of non-minimal f(R,T) gravity. We found that for interactions proportional to $\partial_{\mu}R$ and $\partial_{\mu}f(R,T)$, baryogenesis can be realized with suitable parameter spaces producing a net baryon asymmetry factor consistent with observations, whereas for interaction proportional to $\partial_{\mu}T$, results in a baryon asymmetry incompatible with observations.rther, we obtained baryon to entropy ratio in each case and put constraints on parameters spaces of our model.