Topology change in (2+1)-dimensional gravity with non-Abelian Higgs field
General Relativity and Quantum Cosmology
2013-01-15 v1 High Energy Physics - Theory
Mathematical Physics
Geometric Topology
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 (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.
Keywords
Cite
@article{arxiv.gr-qc/0403079,
title = {Topology change in (2+1)-dimensional gravity with non-Abelian Higgs field},
author = {Alexander I. Nesterov},
journal= {arXiv preprint arXiv:gr-qc/0403079},
year = {2013}
}
Comments
This essay was selected for an Honorable Mention by the Gravity Research Foundation, 1996