Astronomy and Astrophysics – Astrophysics
Scientific paper
2005-10-03
Phys.Rev. D72 (2005) 124004
Astronomy and Astrophysics
Astrophysics
4 pages, 2 figures
Scientific paper
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 $\nu \to \infty$ 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.
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