1995/06/30 by Raphael Bousso, R. Bousso, S. W. Hawking · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.52.5659
published as Phys.Rev. D52 (1995) 5659-5664 · 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
arxiv created 1995/09/07 · openalex publication_date 1995/11/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.