On the growth of the number of hyperbolic gravitational instantons with respect to volume
John G Ratcliffe; Steven T Tschantz; John G Ratcliffe; Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA; Steven T Tschantz; Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA
Журнал:
Classical and Quantum Gravity
Дата:
2000-08-07
Аннотация:
In this paper, we show that the number of hyperbolic gravitational instantons grows superexponentially with respect to volume. As an application, we show that the Hartle-Hawking wavefunction for the universe is infinitely peaked at a certain closed hyperbolic 3-manifold.
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