Topology Change in (2+1)-Dimensional Gravity with Non-Abelian Higgs Field

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作者：
Alexander I. Nesterov
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来源：
General Relativity and Gravitation | 1997年 / 29卷
关键词：
MORSE THEORY; TOPOLOGY CHANGE;
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摘要：
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 the two-dimensional metric becomes degenerate, but the curvature remains bounded.
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页码：1115 / 1122
页数：7
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