Preheating, Parametric Resonance and the Einstein Field Equations

TL;DR

This paper investigates how non-linear gravitational effects influence preheating in inflationary models by numerically solving Einstein's equations, revealing significant metric perturbation amplification and implications for the early universe's evolution.

Contribution

First numerical analysis of non-linear gravitational effects on preheating, showing metric mode amplification and mode coupling in inflationary models.

Findings

Large increase in sub-Hubble metric mode amplitude

Significant mode-mode coupling observed

Amplification terminated by back reaction effects

Abstract

We consider the interaction between perturbations in the inflaton and in the metric during the preheating phase in simple inflationary models. By numerically integrating the Einstein field equations we are able to gauge the impact of non-linear gravitational effects on preheating for the first time. In the lambda phi^4 model we find a large increase in the amplitude of sub-Hubble metric modes, beyond that due to gravitational collapse alone. There is significant mode-mode coupling and the amplification is eventually terminated by back reaction effects. We suggest that such enhancement of inhomogeneity will change the behaviour of the post-inflationary universe.