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Topology change in (2+1)-dimensional gravity with non-Abelian Higgs field | | Alexander I. Nesterov
; | | Date: |
18 Mar 2004 | | Journal: | Gen.Rel.Grav. 29 (1997) 1115-1122 | | Subject: | General Relativity and Quantum Cosmology; Mathematical Physics | gr-qc hep-th math-ph math.MP | | Abstract: | 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 ({em i.e.} loci of change of the spacetime topology) coincide with zeros of the Higgs field. In these critical points two-dimensional metric becomes degenerate, but the curvature remains bounded. | | Source: | arXiv, gr-qc/0403079 | | Services: | Forum | Review | PDF | Favorites | |
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