High-frequency solutions to the Einstein equations

C\'ecile Huneau; Jonathan Luk

High-frequency solutions to the Einstein equations

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arxiv 2404.07659 v1 pith:2V2YH3JO submitted 2024-04-11 gr-qc math.AP

Cécile Huneau , Jonathan Luk This is my paper · ORCID

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keywords solutionshigh-frequencyeinsteinequationslimitsvacuumattemptburnett

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We review recent mathematical results concerning the high-frequency solutions to the Einstein vacuum equations and the limits of these solutions. In particular, we focus on two conjectures of Burnett, which attempt to give an exact characterization of high-frequency limits of vacuum spacetimes as solutions to the Einstein-massless Vlasov system. Some open problems and future directions are discussed.

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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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