Pair Creation of Black Holes in Anti-de Sitter Space Background (I)

Details Pair Creation of Black Holes in Anti-de Sitter Space Background (I) Pair Creation of Black Holes in Anti-de Sitter Space Background (I)

1998-10-04

arxiv.org/abs/gr-qc/9810011v5

Gen.Rel.Grav.31:223-231,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, minor change

Scientific paper

10.1023/A:1018896211493

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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