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

Remo Garattini
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Abstract

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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Remo Garattini. 2001-01-22. Casimir energy and black hole pair creation in Schwarzschild-de Sitter spacetime. https://doi.org/10.1088/0264-9381%2F18%2F4%2F301

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