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

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

2000-09-01

arxiv.org/abs/gr-qc/0009004v1

Class.Quant.Grav. 17 (2000) 2999-3007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages and 2 tables

Scientific paper

10.1088/0264-9381/17/15/310

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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