Local-in-time well-posedness is proved for the vacuum Einstein equations with twisted Dirichlet boundary data: the conformal class of the boundary metric plus a bulk-to-boundary volume scalar.
Tataru,On the regularity of boundary traces for the wave equation, Ann
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Well-posed geometric boundary data in General Relativity, II: twisted Dirichlet boundary data
Local-in-time well-posedness is proved for the vacuum Einstein equations with twisted Dirichlet boundary data: the conformal class of the boundary metric plus a bulk-to-boundary volume scalar.