Gravitational Baryogenesis Constraints on Nojiri-Odintsov $f(R)$ Gravity

This paper focuses on exploring the imbalance between matter and antimatter via the gravitational baryogenesis mechanism within the framework of Nojiri-Odintsov $f(R)$ gravity models in a spatially flat FLRW universe, where R is the Ricci curvature scalar. This mechanism is based on \(CP\)-violation generated via introducing an interaction between baryonic matter current (\(J^μ\)) and the derivative of curvature scalar (\(∂_μR\)), which finally results in the baryon asymmetry. We examine three distinct $f(R)$ models: (i) \(f(R)=-α/R^m+R/2k^2+βR^2\), (ii) \(f(R)=αR^γ +βR^δ\) and (iii) \(f(R)={αR²ᵐ-βR^m}{1+γR^m} \). We demonstrate that even during the matter-dominated epoch of the universe, the $f(R)$ gravity models under consideration can yield a non-vanishing matter-antimatter asymmetry. We constrain the model parameters of each model within the scenario of gravitational baryogenesis to produce the observed value of the baryon-to-entropy ratio, providing a continuous set of acceptable physical values for those parameters. Our results show highly consistent agreement to the baryon-to-entropy ratio with the observational bound from the cosmological data.