Production of gravitational waves during preheating in the Starobinsky inflationary model

Abstract

The production of GWs during preheating in the Starobinsky model with a nonminimally coupled auxiliary scalar field is studied through the lattice simulation in this paper. We find that the GW spectrum ${\Omega }_{\mathrm{gw}}$ grows fast with the increase of the absolute value of coupling parameter $\xi$. This is because the resonant bands become broad with the increase of $|\xi |$. When $\xi <0$, ${\Omega }_{\mathrm{gw}}$ begins to grow once the inflation ends and grows faster than the case of $\xi >0$. ${\Omega }_{\mathrm{gw}}$ reaches the maximum at $\xi =-20$ ($\xi =42$ for the case $\xi >0$) and then decreases with slight oscillation. Furthermore we find that the GWs produced in the era of preheating satisfy the limits from the Planck and next-generation CMB experiments.

15 pages, 5 figures

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