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Title: New asymptotically flat static vacuum metrics with near Euclidean boundary data
In our prior work toward Bartnik’s static vacuum extension conjecture for near Euclidean boundary data, we establish a sufficient condition, called static regular, and confirm that large classes of boundary hypersurfaces are static regular. In this paper, we further improve some of those prior results. Specifically, we show that any hypersurface in an open and dense subfamily of a certain general smooth one-sided family of hypersurfaces (not necessarily a foliation) is static regular. The proof uses some of our new arguments motivated from studying the conjecture for boundary data near an arbitrary static vacuum metric.  more » « less
Award ID(s):
2005588
PAR ID:
10335661
Author(s) / Creator(s):
;
Date Published:
Journal Name:
Journal of Mathematical Physics
Volume:
63
Issue:
5
ISSN:
0022-2488
Page Range / eLocation ID:
052503
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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