Casimir energy and black hole pair creation in Schwarzschild-de Sitter spacetime

Details Casimir energy and black hole pair creation in Schwarzschild-de Sitter spacetime Casimir energy and black hole pair creation in Schwarzschild-de Sitter spacetime

2000-12-20

arxiv.org/abs/gr-qc/0012078v3

Class.Quant.Grav. 18 (2001) 571-592

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages,RevTeX with package epsf and four eps figures. Added other references. Accepted for publication in Classical and Quan

Scientific paper

10.1088/0264-9381/18/4/301

Following the subtraction procedure for manifolds with boundaries, we calculate by variational methods, the Schwarzschild-de Sitter and the de Sitter space energy difference. By computing the one loop approximation for TT tensors we discover the existence of an unstable mode even for the non-degenerate case. This result seems to be in agreement with the sub-maximal black hole pair creation of Bousso-Hawking. The instability can be eliminated by the boundary reduction method. Implications on a foam-like space are discussed.

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