Viability of Baryon to Entropy Ratio in Modified Hořava–Lifshitz Gravity

Abstract

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 (ηBS=ηβ−ηβ¯S), where ηβ(ηβ¯) is a baryon(anti-baryon) number and S is the entropy of the universe in the presence of modified Hořava-Lifshitz F(R) gravity, which is also called F(R˜)-gravity. We inspect different baryogenesis interactions proportional to R˜ (where R˜ is the argument of general function F used for the development of modified Hořava-Lifshitz gravity). For this study, we examine two models by choosing different values of F(R˜). In the first model, the functional value of F(R˜)=R˜+αR˜2 (where α 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˜)=R˜+αR˜2+βR˜m, where α, β 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 Hořava-Lifshitz theory of gravity, which shows a consistent and compatible fact of gravitational baryogenesis with recent observational data.