Speaker
Gerasimos Rigopoulos
Description
I provide a formulation of Stochastic Inflation in full general relativity that goes beyond the slow-roll and separate universe approximations. All degrees of freedom are included in the dynamics and all gradient terms are kept. The stochastic source terms are gauge invariant and defined in terms of the only dynamical scalar degree of freedom in single-field inflation, the Mukhanov-Sasaki variable. The equations can therefore be formulated in any gauge and enable a well-posed implementation for 3+1 numerical relativity simulations with stochastic noise. Some preliminary examples are discussed, including an ultra slow roll potential and a stochastic resonance model.
