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Abstract
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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 radiationdominated
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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