Published January 21, 2004
| Version v1
Journal article
Peaks in the Hartle-Hawking wavefunction from sums over topologies
- 1. Department of Mathematics, SUNY at Stony Brook, Stony Brook, NY 11794 (United States)
- 2. Department of Physics, University of California, Davis, CA 95616 (United States)
- 3. Department of Mathematics, Vanderbilt University, Nashville, TN 37240 (United States)
- 4. Raman Research Institute, C V Raman Avenue, Sadashivanagar, Bangalore 560 080 (India)
Description
Recent developments in 'Einstein Dehn filling' allow the construction of infinitely many Einstein manifolds that have different topologies but are geometrically close to each other. Using these results, we show that for many spatial topologies, the Hartle-Hawking wavefunction for a spacetime with a negative cosmological constant develops sharp peaks at certain calculable geometries. The peaks we find are all centred on spatial metrics of constant negative curvature, suggesting a new mechanism for obtaining local homogeneity in quantum cosmology
Availability note (English)
Available online at http://stacks.iop.org/0264-9381/21/729/cqg4_2_025.pdf or at the Web site for the journal Classical and Quantum Gravity (ISSN 1361-6382) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0264-9381/21/729/cqg4_2_025.pdf; http://www.iop.org/;
- DOI
- 10.1088/0264-9381/21/2/025;
- PII
- S0264-9381(04)70326-3;
Publishing Information
- Journal Title
- Classical and Quantum Gravity
- Journal Volume
- 21
- Journal Issue
- 2
- Journal Page Range
- p. 729-741
- ISSN
- 0264-9381
- CODEN
- CQGRDG
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35024848
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COSMOLOGICAL CONSTANT; QUANTUM FIELD THEORY; SMOOTH MANIFOLDS; TOPOLOGICAL FOLIATION; WAVE FUNCTIONS
- Descriptors DEC
- FIELD THEORIES; FUNCTIONS; MATHEMATICAL MANIFOLDS