Phys. Rev. D 33, 978–982 (1986)Topology change and monopole creationReceived 15 October 1985; published in the issue dated 15 February 1986 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. © 1986 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.33.978
DOI:
10.1103/PhysRevD.33.978
PACS:
04.60.+n, 02.40.+m, 11.10.Kk, 14.80.Hv
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