Warm inflation with backreaction: a stochastic approach

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