Vacuum decomposition of Einstein's theory and knot topology of vacuum space-time

被引：4
作者：
Cho, Y. M. [1 ,2 ]
Cho, Franklin H. [3 ]
Yoon, J. H. [4 ]
机构：
[1] Konkuk Univ, Seoul 143701, South Korea
[2] Seoul Natl Univ, Sch Phys & Astron, Seoul 151742, South Korea
[3] Univ So Calif, Dept Phys & Astron, Los Angeles, CA 90089 USA
[4] Konkuk Univ, Dept Phys, Seoul 143701, South Korea
来源：
CLASSICAL AND QUANTUM GRAVITY | 2013年 / 30卷 / 05期
基金：
新加坡国家研究基金会;
关键词：
FADDEEV-NIEMI DECOMPOSITION; GENERAL-RELATIVITY; GAUGE-THEORY; QUANTUM-THEORY; SYMMETRY; QCD; CONDENSATION; INSTANTONS; INVARIANCE; SPECTRUM;
D O I：
10.1088/0264-9381/30/5/055003
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Viewing Einstein's theory as the gauge theory of the Lorentz group, we construct the most general vacuum connections which have vanishing curvature tensor and show that the vacuum space-time can be classified by the knot topology pi(3)(S-3) similar or equal to pi(3)(S-2) of pi(3)(SO(3, 1)). With this we obtain the gauge-independent vacuum decomposition of Einstein's theory to the vacuum and gauge covariant physical parts. We discuss the physical implications of our result in quantum gravity.
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页数：17
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