Physics
Scientific paper
Feb 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..35.1161h&link_type=abstract
Physical Review D (Particles and Fields), Volume 35, Issue 4, 15 February 1987, pp.1161-1170
Physics
17
Black Holes, Spontaneous Breaking Of Gauge Symmetries
Scientific paper
The decay of false-vacuum states through a first-order phase transition in the presence of a Schwarzschild black hole is studied in the zero-temperature limit. The equations of motion for a thin-wall bubble which forms in a spherically symmetric fashion around a Schwarzschild-de Sitter (or -anti-de Sitter) black hole are derived. The Euclidean action for these bubble solutions is calculated and is found to be smaller, by up to a factor of roughly 2, than the O(4)-symmetric action in which no black hole is present. It thus appears that a black hole can act as an effective nucleation center for a first-order vacuum phase transition. It will then be more difficult (require more ``fine-tuning'' of the potential) than was previously believed to achieve supercooling of a false-vacuum state, provided that appropriate-mass black holes are present.
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