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arXiv · 2302.06928

Gluing variations

Piotr T. Chruściel·Wan Cong
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Abstract

We establish several results on gluing/embedding/extending geometric structures in vacuum spacetimes with a cosmological constant in any spacetime dimensions $d\ge 4$, with emphasis on characteristic data. A useful tool is provided by the notion of submanifold-data of order $k$. As an application of our methods we prove that vacuum Cauchy data on a spacelike Cauchy surface with boundary can always be extended to vacuum data defined beyond the boundary.

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Piotr T. Chruściel, Wan Cong. 2023-02-14. Gluing variations. https://doi.org/10.1088/1361-6382/ace494

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