Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-03-10
Nucl.Phys.B582:313-362,2000
Physics
High Energy Physics
High Energy Physics - Theory
63 pages, 4 eps figures, references and thanks added, to appear in Nucl.Phys.B
Scientific paper
10.1016/S0550-3213(00)00287-X
We present an exact one-loop calculation of the tunneling process in Euclidean quantum gravity describing creation of black hole pairs in a de Sitter universe. Such processes are mediated by $S^2\times S^2$ gravitational instantons giving an imaginary contribution to the partition function. The required energy is provided by the expansion of the universe. We utilize the thermal properties of de Sitter space to describe the process as the decay of a metastable thermal state. Within the Euclidean path integral approach to gravity, we explicitly determine the spectra of the fluctuation operators, exactly calculate the one-loop fluctuation determinants in the $\zeta$-function regularization scheme, and check the agreement with the expected scaling behaviour. Our results show a constant volume density of created black holes at late times, and a very strong suppression of the nucleation rate for small values of $\Lambda$.
Volkov Mikhail S.
Wipf Andreas
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