On the growth of the number of hyperbolic gravitational instantons with respect to volume
Open accessAbstract
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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Similar results for sums over topologies have been found in four dimensions.
“It is only quite recently that similar results for sums over topologies have been found in four dimensions [79, 80, 229, 19].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [229]
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Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172 · see citing works
- Authors
- Ratcliffe, J. G., & Tschantz, S. T.
- Affiliations
- Vanderbilt University (US)
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2000-07-21
- Volume
- 17
- Issue
- 15
- Pages
- 2999-3007
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2039492295
- Cited by
- 8
- References
- 0
- Citations by year
- 2023: 1 · 2020: 1 · 2016: 2 · 2015: 1
- FWCI
- 1.34
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- gravitational instantons, hyperbolic 3-manifolds, volume growth, quantum cosmology
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