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Abstract |
I will explain how primordial black holes can form from perturbations seeded during
inflation and how their abundance can be calculated in the framework of stochastic
inflation. This formalism incorporates quantum backreaction of the small-wavelength
fluctuations on the large distances dynamics of the Universe. If quantum corrections are
small, the probability distribution of density fluctuations is well approximated by a
Gaussian. If they are large, the PDF has a different profile with a longer tail and leads to
constraints different from the ones usually derived. I will also discuss the validity of the
stochastic formalism beyond the usual slow-roll approximation, and how, if at all, it must be
modified in such regimes. |
