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arXiv 1106.4372hep-thgr-qc
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渐近平坦性、Taub-NUT和变分原理

Asymptotic Flatness, Taub-NUT, and Variational Principle

Amitabh Virmani

摘要:

使用双曲的时间和空间截止定义四维渐近平坦时空,我们表明,超平移的模糊性,即使在存在引力磁荷的渐近场都可以被删除。然后,我们表明,具有不同的电和磁四动量的配置可以一致地认为在曼-马罗夫变分原理。这推广了以前的结果,其中的变化与固定的磁四动量的渐近平坦的配置被认为是。我们还将Kerr Taub-NUT度量表示为Beig-Schmidt形式的首阶和次首阶,并将其渐近形式与3d de Sitter空间上的张量调和函数进行了比较.

英文摘要:

Using hyperbolic temporal and spatial cut-offs to define 4d asymptotically flat spacetimes, we show that supertranslation ambiguities in the asymptotic fields can all be removed even in the presence of gravitational magnetic charges. We then show that configurations with different electric and magnetic four-momenta can be consistently considered in the Mann-Marolf variational principle. This generalizes the previous result where variations over asymptotically flat configurations with fixed magnetic four-momenta were considered. We also express Kerr Taub-NUT metric to the leading and next to leading order in the Beig-Schmidt form, and compare the asymptotic form with the tensor harmonics on 3d de Sitter space.

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