Topology change in (2+1)-dimensional gravity with non-Abelian Higgs field
نویسنده
چکیده
We study topology change in (2+1)D gravity coupling with non-Abelian SO(2, 1) Higgs field from the point of view of Morse theory. It is shown that the Higgs potential can be identified as a Morse function. The critical points of the latter (i.e. loci of change of the spacetime topology) coincide with zeros of the Higgs field. In these critical points twodimensional metric becomes degenerate, but the curvature remains bounded. PACS number(s): 04.20.Gz, 02.40.-k
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تاریخ انتشار 2004