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On the local extension of Killing vector-fields in Ricci flat manifolds

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arxiv 1108.3575 v1 pith:VG7B3Q22 submitted 2011-08-17 math.AP gr-qc

Alexandru D. Ionescu , Sergiu Klainerman This is my paper · ORCID
classification math.APgr-qc
keywords extensionflatkillingmanifoldsproblemriccivector-fieldsblack
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We revisit the problem of extension of Killing vector-fields in smooth Ricci flat manifolds, and its relevance to the black hole rigidity problem.

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  1. Near-Boundary Asymptotics and Unique Continuation for the AdS--Einstein--Maxwell System

    gr-qc 2025-01 conditional novelty 7.0 of 10

    Given identical boundary data near infinity, two solutions of the AdS-Einstein-Maxwell equations must agree near that boundary, provided the boundary region satisfies a null-convexity condition.

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