Primordial black holes and gravitational waves from dissipation during inflation

Understand

We study the generation of a localized peak in the primordial spectrum of curvature perturbations from a transient dissipative phase during inflation, leading to a large population of primordial black holes.

• The enhancement of the power spectrum occurs due to stochastic thermal noise sourcing curvature fluctuations.
• We solve the stochastic system of Einstein equations for many realizations of the noise and obtain the distribution for the curvature power spectrum.
• We then propose a method to find its expectation value using a deterministic system of differential equations.