Topology change and monopole creation

Details Topology change and monopole creation Topology change and monopole creation

Feb 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..33..978s&link_type=abstract

Physical Review D (Particles and Fields), Volume 33, Issue 4, 15 February 1986, pp.978-982

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41

Field Theories In Dimensions Other Than Four, Magnetic Monopoles

Scientific paper

Lorentzian cobordism is considered as a mechanism for topology change in quantum gravity. It is shown that the condition for a topological cobordism to admit an appropriate metric is different in even and odd dimensions. In odd dimensions such a metric exists if and only if the initial and final manifolds have the same Euler characteristic. This means that pair creation of Kaluza-Klein monopoles cannot occur via the mechanism considered. Possible implications of this result are discussed. Lorentzian cobordism in two dimensions is also analyzed briefly.

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