Affiliation:
1. Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269, USA
Abstract
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.
Funder
National Science Foundation
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Cited by
1 articles.
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