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Continuation unique a partir de l'infini conforme pour les metriques d'Einstein

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arxiv 0708.4346 v2 pith:JP5GU2DO submitted 2007-08-31 math.DG

classification math.DG
keywords continuationeinsteinuniqueasymptoticallyconformalconformehyperbolicinfini
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We prove the unique continuation property at the conformal infinity for asymptotically hyperbolic Einstein metrics.

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  1. Static vacuum metrics in (4 + 1) dimensions with {\Lambda} < 0 and squashed conformal infinity

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Numerical evidence that every squashed three-sphere conformal infinity admits a unique horizonless static vacuum fill-in and a one-parameter family of black-hole fill-ins in 5D AdS.

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