The Probability for Primordial Black Holes
General Relativity and Quantum Cosmology
2009-10-28 v2 High Energy Physics - Theory
Abstract
We consider two quantum cosmological models with a massive scalar field: an ordinary Friedmann universe and a universe containing primordial black holes. For both models we discuss the complex solutions to the Euclidean Einstein equations. Using the probability measure obtained from the Hartle-Hawking no-boundary proposal, we find that the only unsuppressed black holes start at the Planck size but can grow with the horizon scale during the roll down of the scalar field to the minimum.
Cite
@article{arxiv.gr-qc/9506047,
title = {The Probability for Primordial Black Holes},
author = {R. Bousso and S. W. Hawking},
journal= {arXiv preprint arXiv:gr-qc/9506047},
year = {2009}
}
Comments
16 pages, LaTeX, accepted for publication in Phys. Rev. D; we have added brief remarks on the generality of our results and on the validity of the semiclassical approximation