Speaker
Description
In this talk, I will review our recent work and its attempt to extend the scope and predictive power of the stochastic formalism for inflation. After briefly introducing the specificity of our stochastic coarse-graining procedure, I will discuss our formulation of stochastic dynamics in full General Relativity, including all metric and scalar matter degrees of freedom, as well as gradient contributions. I will then present numerical implementations of these stochastic equations within the framework of Numerical Relativity, demonstrating their efficacy in well-understood scenarios and their application to ongoing investigations, relevant for a rigourous understanding of phenomena such as primordial black hole formation.
With this framework fully established, I will show how the formalism can be generalised beyond General Relativity, in particular to scalar–tensor theories of dark energy and multifield scenarios, and potentially beyond.