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Gluing variations
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DOI：10.1088/1361-6382/ace494.png)
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Abstract
En 中文
We establish several results on gluing/embedding/extending geometric struc-tures in vacuum spacetimes with a cosmological constant in any spacetime dimensions d ? 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.
Keywords:
spacetime gluing
characteristic cauchy problem
relativity
mathematical relativity
Journal
IF:
3.7
Papers:
1.3W
Citations:
3.0W