AI 中文总结
研究Taub-NUT度规，发现其列维-奇维塔联络在米斯纳弦上奇异，引入挠率可改善，挠率产生Komar流并决定渐近Komar荷，最终Taub-NUT度规表现为受两束自旋流体支撑的孤子。
AI 中文摘要
我们表明，Taub-NUT度规的列维-奇维塔联络在米斯纳弦上是奇异的，并产生一个包含狄拉克函数平方的爱因斯坦张量。通过引入挠率可以改善这一情况，此时爱因斯坦张量可被解释为具有负可变张力的宇宙弦的张量。米斯纳弦中的Komar流由挠率产生，因此挠率决定了渐近Komar荷。然后Taub-NUT度规表现为由两束自旋流体支撑的孤子。
英文摘要
We show that the Levi-Civita connection for the Taub-NUT metric is singular on Misner strings and generates an Einstein tensor containing the squares of the delta function. This can be improved by introducing torsion, in which case the Einstein tensor may be interpreted as that of a cosmic string with negative variable tension. Komar flows in Misner strings are generated by torsion, which is therefore responsible for the asymptotic Komar charges. The Taub-NUT metric then appears as a soliton supported by two spin-fluid beams.
Comments5 pages, 3 figures
