A handlebody calculus for topology change
arXiv:gr-qc/9711042 · doi:10.1088/0264-9381/15/7/005
Abstract
We consider certain interesting processes in quantum gravity which involve a change of spatial topology. We use Morse theory and the machinery of handlebodies to characterise topology changes as suggested by Sorkin. Our results support the view that that the pair production of Kaluza-Klein monopoles and the nucleation of various higher dimensional objects are allowed transitions with non-zero amplitude.
Latex, 32 pages, 7 figures
Cited by in corpus (17)
- Observations of Hawking radiation: the Page curve and baby universes
- Topology Change and Causal Continuity
- Correlators, Probabilities and Topologies in N=4 SYM
- Gravitational collapse and topology change in spherically symmetric dynamical systems
- Causal continuity in degenerate spacetimes
- COBE and Global Topology: An Example of the Application of the Identified Circles Principle
- How to obtain a cosmological constant from small exotic R^4
- Some global, analytical and topological properties of regular black holes
- Morse index and causal continuity. A criterion for topology change in quantum gravity
- K-causality and degenerate spacetimes
- Anyons in Geometric Models of Matter
- Dark energy from topology change induced by microscopic Gauss-Bonnet wormholes
- Compactification, topology change and surgery theory
- Topological gravity on plumbed V-cobordisms
- Gauge Group and Topology Change
- Morse-Bott inequalities, Topology Change and Cobordisms to Nothing
- Wormhole Nucleation via Topological Surgery in Lorentzian Geometry