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arXiv · 2507.15567

Well-posed geometric boundary data in General Relativity, II: twisted Dirichlet boundary data

Zhongshan An·Michael T. Anderson
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Abstract

In this second work in a series, we prove the local-in-time well-posedness of the IBVP for the vacuum Einstein equations in general relativity with twisted Dirichlet boundary conditions on a finite timelike boundary. The boundary conditions consist of specification of the pointwise conformal class of the boundary metric, together with a scalar density involving a combination of the volume form of the bulk metric restricted to the boundary together with the volume form of the boundary metric itself.

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Zhongshan An, Michael T. Anderson. 2025-07-21. Well-posed geometric boundary data in General Relativity, II: twisted Dirichlet boundary data. https://arxiv.org/abs/2507.15567

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