Warm inflation with backreaction: a stochastic approach

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