Nucleation of a universe in (2+1)-dimensional gravity with a negative cosmological constant
- 15 September 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 44 (6) , 1756-1762
- https://doi.org/10.1103/physrevd.44.1756
Abstract
We investigate the nucleation of a universe in a (2+1)-dimensional gravity model with a negative cosmological constant. There are a variety of universes born from nothing by quantum tunneling. Utilizing the powerful technique of hyperbolic geometry, we explicitly construct three-manifolds which describe the nucleation of a higher-genus universe. We calculate the wave function of the universe in the WKB approximation.Keywords
This publication has 11 references indexed in Scilit:
- Real tunneling geometries and the large-scale topology of the universePhysical Review D, 1990
- On the volume of hyperbolic polyhedraMathematische Annalen, 1989
- Circle packings and co-compact extensions of Kleinian groupsInventiones Mathematicae, 1986
- Topology change and monopole creationPhysical Review D, 1986
- Wave function of the UniversePhysical Review D, 1983
- Creation of universes from nothingPhysics Letters B, 1982
- Three dimensional manifolds, Kleinian groups and hyperbolic geometryBulletin of the American Mathematical Society, 1982
- Singularities and causality violationAnnals of Physics, 1977
- Lorentz cobordism. IIGeneral Relativity and Gravitation, 1973
- Topology in General RelativityJournal of Mathematical Physics, 1967