M Anderson et al 2004 Class. Quantum Grav. 21 729 doi:10.1088/0264-9381/21/2/025
M Anderson1, S Carlip2, J G Ratcliffe3, S Surya4 and S T Tschantz3
Show affiliationsRecent 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.
04.60.Gw Covariant and sum-over-histories quantization
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
Issue 2 (21 January 2004)
Received 10 October 2003
Published 23 December 2003
M Anderson et al 2004 Class. Quantum Grav. 21 729
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