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 $(\mathcal{M},g)$ 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.

35 pages

References in corpus (9)

• On the uniqueness of smooth, stationary black holes in vacuum
• An intrinsic characterization of the Kerr metric
• Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime
• On the construction of a geometric invariant measuring the deviation from Kerr data
• Classification of Kerr-de Sitter-like spacetimes with conformally flat Scri
• The "non-Kerrness" of domains of outer communication of black holes and exteriors of stars
• A set of invariant quality factors measuring the deviation from the Kerr metric
• Spacetime characterizations of $\Lambda$-vacuum metrics with a null Killing 2-form
• Algorithmic characterization results for the Kerr-NUT-(A)dS space-time. II. KIDs for the Kerr-(A)(de Sitter) family

Cited by in corpus (4)

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• Analysis of a Bianchi-like equation satisfied by the Mars-Simon tensor
• Relative-observer definition of the Simon tensor