Abstract
In rainbow gravity, the ordinary general relativity (GR) field equations can be modified by a parametric set of equations and thus the cosmology of this scenario may give new sounds about the physics of the early universe. As we know in the radiation-dominated universe the gravitational baryogenesis mechanism (GBM) cannot occur in the GR context. In this regard, by assuming the flat Friedmann–Robertson–Walker (FRW) metric we study GBM in the rainbow gravity. We obtain that for a rainbow universe filled with radiation, the baryon-to-entropy ratio from the GBM can have a non-zero value. In this work, we study the baryon-to-entropy ratio for the corresponding cosmological models of two suggested dispersion relations and we obtain that in the first case the baryogenesis mechanism occurs and also the results are compatible with the observational constraints while the second case is not consistent with the observational constraints.
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