Cosmological Baryogenesis in Ho\v{r}ava-Lifshitz Gravity with a Starobinsky-Type Potential

The present investigation explores baryogenesis within the purview of Hořava-Lifshitz cosmology, assuming a background evolution governed by generalised holographic dark energy coupled with generalised Chaplygin gas. To set up the scalar-field sector, we employ the Starobinsky potential. It is demonstrated that the reconstructed scalar field and the potential associated with it are consistent with the observed accelerated expansion of the Universe. In Hořava-Lifshitz gravity, the parameter that corresponds to the equation-of-state (EoS) exhibits quintessence-type behaviour for the coupled dark-energy system.We further analyse baryogenesis in general and gravitational baryogenesis in this scenario and demonstrate that the predicted baryon-to-entropy ratio agrees with observational bounds. Furthermore, the model suggests that either the generalised sec ond rule of thermodynamics continues to apply or the baryon and antibaryon densities will eventually equalise. In addition, the statistically investigation establishes that the model values of the Hubble parameter fit good according to the observed values of the Hubble parameter.