Density and Positive Mass Theorems for Initial Data Sets with Boundary

被引：0
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作者：
Dan A. Lee
Martin Lesourd
Ryan Unger
机构：
[1] City University of New York,Graduate Center and Queens College
[2] Harvard University,Black Hole Initiative
[3] Princeton University,Department of Mathematics
来源：
Communications in Mathematical Physics | 2022年 / 395卷
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摘要：
We prove a harmonic asymptotics density theorem for asymptotically flat initial data sets with compact boundary that satisfy the dominant energy condition. We use this to settle the spacetime positive mass theorem, with rigidity, for initial data sets with apparent horizon boundary in dimensions less than 8 without a spin assumption.
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页码：643 / 677
页数：34
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