Title:	Morse index and causal continuity. A criterion for topology change in quantum gravity
Authors:	Dowker, H.F. Garcia, R.S. Surya, Sumati
Issue Date:	Feb-2000
Publisher:	Institute of Physics
Citation:	Classical and Quantum Gravity, 2000, Vol.17, Issue 3, p. 697-712
Abstract:	Studies in 1 + 1 dimensions suggest that causally discontinuous topology-changing spacetimes are suppressed in quantum gravity. Borde and Sorkin have conjectured that causal discontinuities are associated precisely with index 1 or n - 1 Morse points in topology-changing spacetimes built from Morse functions. We establish a weaker form of this conjecture. Namely, if a Morse function f on a compact cobordism has critical points of index 1 or n - 1, then all the Morse geometries associated with f are causally discontinuous, while if f has no critical points of index 1 or n - 1, then there exist associated Morse geometries which are causally continuous.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/4552
ISSN:	0264-9381 1361-6382 (online)
Alternative Location:	http://arxiv.org/abs/gr-qc/9910034 http://dx.doi.org/10.1088/0264-9381/17/3/308 http://adsabs.harvard.edu/abs/2000CQGra..17..697D
Copyright:	2000, Institute of Physics
Appears in Collections:	Research Papers (TP)

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