High Frequency Curvature Oscillations at Gravitational Baryogenesis and UHECR Emission

It is shown that the traditional gravitational baryogenesis suffers from exponential instability of the curvature scalar. This rise of $$R$$ could be stabilized by an addition of the $$R^{2}$$ -term into canonical Hilbert–Einstein action of general relativity. As a result the explosive rise of curvature turns into high frequency oscillations of $$R$$ , that lead to an efficient particle production. The created particles may noticeably contribute to the flux of ultrahigh energy cosmic rays (UHECR).