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arXiv · 1701.02959

Algorithmic characterization results for the Kerr-NUT-(A)dS space-time. I. A space-time approach

Tim-Torben Paetz
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Abstract

We provide an algorithm to check whether a given vacuum space-time $(\mathcal{M},g)$ admits a Killing vector field w.r.t. which the Mars-Simon tensor vanishes. In particular, we obtain an algorithmic procedure to check whether $(\mathcal{M},g)$ is locally isometric to a member of the Kerr-NUT-(A)dS family. A particular emphasis will be devoted to the Kerr-(A)dS case.

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Tim-Torben Paetz. 2017-01-11. Algorithmic characterization results for the Kerr-NUT-(A)dS space-time. I. A space-time approach. https://doi.org/10.1063/1.4980067

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