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arxiv: gr-qc/0009004 · v1 · submitted 2000-09-01 · 🌀 gr-qc

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

classification 🌀 gr-qc
keywords hyperbolicgravitationalinstantonsnumberrespectvolumeapplicationcertain
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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.

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