Kinks and topology change

Details Kinks and topology change Kinks and topology change

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvl..69.1719g&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 69, no. 12, Sept. 21, 1992, p. 1719-1721.

Physics

25

Lorentz Contraction, Space-Time Functions, Topology, Cosmology, Eigenvalues, Eigenvectors, Relativity, Riemann Manifold, Fundamental Problems And General Formalism

Scientific paper

We show that, if a change of spatial topology is mediated by a spacetime with an everywhere-nonsingular metric of Lorentzian signature which admits a spinor structure, then the Kervaire semicharacteristic of the boundary plus the kink number of the Lorentzian metric on the boundary must vanish modulo 2. The kink number is a measure of how many times the light cone tips over on the boundary. It vanishes if the boundary is everywhere spacelike. This result gives a generalization of a previous selection rule: the number of wormholes plus the number of kinks created during a topology change is conserved modulo 2.

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