Primordial black hole abundance in non-Gaussian inflation models

We determine the abundance of primordial black holes (PBHs) formed in the context of non-Gaussian models with primordial density perturbations. We consider models with a renormalized χ² probability distribution function parametrized by the number, ν, of degrees of freedom. We show that if ν is not too large then the PBH abundance will be altered by several orders of magnitude with respect to the standard Gaussian result obtained in the ν→∞ limit. We also study the dependence of the spectral index constraints on the nature of the cosmological perturbations for a power-law primordial power spectrum.