Non-time-orientable Lorentzian cobordism allows for pair creation

It is shown that if time-orientability is sacrificed, then, in any spacetime of odd dimension, two cobordant manifolds are also related by a Lorentzian cobordism. Thus, pair creation of Kaluza-Klein monopoles would be allowed in such a framework. The even-dimensional case is also examined.

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Veröffentlicht in:Int. J. Theor. Phys.; (United States) 1986-08, Vol.25 (8), p.877-881
1. Verfasser: SORKIN, R. D
Format: Artikel
Sprache:eng
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Zusammenfassung:It is shown that if time-orientability is sacrificed, then, in any spacetime of odd dimension, two cobordant manifolds are also related by a Lorentzian cobordism. Thus, pair creation of Kaluza-Klein monopoles would be allowed in such a framework. The even-dimensional case is also examined.
ISSN:0020-7748
1572-9575
DOI:10.1007/BF00669922