Gravity takes care of both inflation and subsequent reheating in Starobinsky's R ~2-model. The latter is due to inflaton gravitation decays dominated by scalar particle production. It is tempting to suggest that dark matter particles are also produced in this process. Since free scalars being too hot cannot serve as viable dark matter (Gorbunov and Panin, 2011 [3]), we further study the issue considering two options: scalars with nonminimal coupling to gravity and superheavy scalars generated at inflationary stage. We found that the first option allows for viable warm or cold dark matter if scalar mass exceeds 1.1 MeV. The second option implies supercold dark matter with particle mass 10 ~(16） GeV, which production is saturated at the end of inflation when inflaton-dependent scalar mass rapidly changes and violates adiabaticity. Similar result holds for superheavy fermion dark matter.
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