Topology change in (2+1)-dimensional gravity with non-Abelian Higgs field

Details Topology change in (2+1)-dimensional gravity with non-Abelian Higgs field Topology change in (2+1)-dimensional gravity with non-Abelian Higgs field

2004-03-18

arxiv.org/abs/gr-qc/0403079v1

Gen.Rel.Grav. 29 (1997) 1115-1122

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

This essay was selected for an Honorable Mention by the Gravity Research Foundation, 1996

Scientific paper

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.

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