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 chi(2) probability distribution function parametrized by the number, nu, of degrees of freedom. We show that if nu 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 nu ->infinity 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.