Mathematics – Logic
Scientific paper
Feb 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999gregr..31..223w&link_type=abstract
Gen. Relativ. Gravitation, Vol. 31, No. 2, p. 223 - 231
Mathematics
Logic
1
Quantum Gravity: Black Holes, Black Holes: Pair Creation
Scientific paper
For a spherically symmetric vacuum model with a negative cosmological constant, a complex constrained instanton is considered as the seed for the quantum pair creation of Schwarzschild - anti-de Sitter black holes. The relative creation probability is found to be the exponential of the negative of the black hole entropy. The black hole entropy is known to be one quarter of the black hole horizon area. In the absence of a general no-boundary proposal for open creation, the constrained instanton approach is used in treating both the open and closed pair creations of black holes.
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