Astronomy and Astrophysics – Astrophysics
Scientific paper
1998-06-22
Astronomy and Astrophysics
Astrophysics
4 pages, latex including 2 figures, to appear in the Proceedings of the 3rd International Symposium on Sources and Detection o
Scientific paper
We review the basic arguments for the likelihood of non-Gaussian density perturbations in inflation models with primordial black hole (PBH) production. We discuss our derived distributions of field fluctuations and their implications, specifically commenting on the fine-tuning problem. We also discuss how the derived distributions may be affected when linked to metric perturbations. While linking the metric perturbations to field fluctuations in a nonlinear way may be important for determining exact probability distributions, the correct mapping is not self-evident. The calculation of P. Ivanov, which yields skew positive distribution, is based on an ansatz for the behavior of the nonlinear metric perturbation. We note that the ``natural'' generalization of the gauge-invariant formalism favored by Bond and Salopek yields an effective linear link between the distribution of field fluctuations and metric perturbations during inflation.
Bullock James S.
Primack Joel R.
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