Viability of Baryon to Entropy Ratio in Modified Horava-Lifshitz Gravity

In this paper, we study the matter-antimatter imbalance in the universe through baryogenesis (also known as baryosynthesis), which is a physical process that took off just a little while after the big bang explosion, producing a supremacy of matter over antimatter. In this work, we commit the reproduction of the baryon to entropy ratio (eta(B)/S = eta(B) - eta((B) over bar)/S), where eta(B) (eta((B) over bar)) is a baryon(anti-baryon) number and S is the entropy of the universe in the presence of modified Ho.rava-Lifshitz F(R) gravity, which is also called F ((R) over bar)-gravity. We inspect different baryogenesis interactions proportional to (R) over tilde (where (R) over tilde is the argument of general function Gamma used for the development of modified Ho.rava-Lifshitz gravity). For this study, we examine two models by choosing different values of F((R) over tilde). In the first model, the functional value of F((R) over tilde) = (R) over tilde +alpha (R) over tilde (2) (where a is a real constant). The second model is more generalized and extended as compare to first one. Mathematically, this model is given by F((R) over tilde) = (R) over tilde + alpha (R) over tilde (2) + beta(R) over tilde (m), where alpha, beta are real constants and m > 2 is a real model parameter. Our results for both models and different values of m point out that matter-antimatter asymmetry does not vanish under the effect of the modified Ho.rava-Lifshitz theory of gravity, which shows a consistent and compatible fact of gravitational baryogenesis with recent observational data.