Warm inflation with back - reaction: a stochastic approach

TL;DR

This paper develops a stochastic framework for warm inflation that incorporates back-reaction effects of matter fluctuations on spacetime, analyzing the evolution of inhomogeneities in a flat universe.

Contribution

It introduces a novel stochastic formalism that includes metric back-reaction in warm inflation models, accounting for local inhomogeneities in a flat FRW universe.

Findings

Derived stochastic equations for matter and metric fluctuations.

Analyzed fluctuation dynamics during power-law expansion.

Highlights the importance of back-reaction in inflationary inhomogeneities.

Abstract

I study a stochastic approach for warm inflation considering back - reaction of the metric with the fluctuations of matter field. This formalism takes into account the local inhomogeneities fo the spacetime in a globally flat Friedmann - Robertson - Walker metric. The stochastic equations for the fluctuations of the matter field and the metric are obtained. Finally, the dynamics for the amplitude of these fluctuations in a power - law expansion for the universe are examined.