Algorithmic characterization results for the Kerr-NUT-(A)dS space-time. I. A space-time approach
Abstract
We provide an algorithm to check whether a given vacuum space-time (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 (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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