New asymptotically flat static vacuum metrics with near Euclidean boundary data
arXiv:2206.00082 · doi:10.1063/5.0089527
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 large classes of boundary hypersurfaces are static regular. In this note, 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.
arXiv commentAppeared in JMP, Proceedings of ICMP XX
References in corpus (9)
- Uniqueness and non-uniqueness of static vacuum black holes in higher dimensions
- Isometric embeddings into the Minkowski space and new quasi-local mass
- On boundary value problems for Einstein metrics
- A Remark on Boundary Effects in Static Vacuum Initial Data sets
- On the Bartnik extension problem for the static vacuum Einstein equations
- On Existence of Static Metric Extensions in General Relativity
- Mass and 3-metrics of non-negative scalar curvature
- Embeddings, immersions and the Bartnik quasi-local mass conjectures
- A complete classification of S1-symmetric static vacuum black holes