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

被引：0

作者：

Alexander I. Nesterov

机构：

来源：

General Relativity and Gravitation | 1997年 / 29卷

关键词：

MORSE THEORY; TOPOLOGY CHANGE;

D O I：

暂无

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学科分类号：

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.

引用

页码：1115 / 1122

页数：7

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