High-frequency solutions to the Einstein equations

Cécile Huneau; Jonathan Luk

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arXiv · 2404.07659

High-frequency solutions to the Einstein equations

Cécile Huneau·Jonathan Luk

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Abstract

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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Cécile Huneau, Jonathan Luk. 2024-04-11. High-frequency solutions to the Einstein equations. https://arxiv.org/abs/2404.07659

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