May 27 – 31, 2024
UB Physics Faculty
Europe/Madrid timezone

Stochastic Inflation in General Relativity [Chair: Fumagalli]

May 28, 2024, 10:00 AM
1h 30m
Room N06 (UB Physics Faculty)

Room N06

UB Physics Faculty

Martí i Franquès, 1, 11 08028 Barcelona


Gerasimos Rigopoulos


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, and the linearized tensors. The equations can therefore be formulated in any gauge. We validate the efficacy of these Langevin dynamics directly using an example in uniform field gauge, obtaining the stochastic e-fold number in the long wavelength limit without the need for a first-passage-time analysis. These equations enable a well-posed implementation for 3+1 numerical relativity simulations with stochastic noise and can potentially illuminate the problem of PBH production via full 3D numerical simulations.

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