paper

On the Growth of the Number of Hyperbolic Gravitational Instantons with respect to Volume

arXiv:gr-qc/0009004 · doi:10.1088/0264-9381/17/15/310

Abstract

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 wave function for the universe is infinitely peaked at a certain closed hyperbolic 3-manifold.

9 pages and 2 tables

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