Gravitational production of dark matter during reheating
Yann Mambrini, Keith A. Olive
Abstract
We consider the direct $s$-channel gravitational production of dark matter during the reheating process. Independent of the identity of the dark matter candidate or its nongravitational interactions, the gravitational process is always present and provides a minimal production mechanism. During reheating, a thermal bath is quickly generated with a maximum temperature ${T}_{\mathrm{max}}$, and the temperature decreases as the inflaton continues to decay until the energy densities of radiation and inflaton oscillations are equal, at ${T}_{\mathrm{RH}}$. During these oscillations, $s$-channel gravitational production of dark matter occurs. We show that the abundance of dark matter (fermionic or scalar) depends primarily on the combination ${T}_{\mathrm{max}}^{4}/{T}_{\mathrm{RH}}{M}_{P}^{3}$. We find that a sufficient density of dark matter can be produced over a wide range of dark matter masses: from 1 GeV to 1 ZeV.