Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894915 | Journal of Geometry and Physics | 2011 | 9 Pages |
Abstract
Generalizing Riemannian theorems of Anderson–Herzlich and Biquard, we show that two (n+1)(n+1)-dimensional stationary vacuum space-times (possibly with cosmological constant Λ∈RΛ∈R) that coincide up to order one along a timelike hypersurface TT are isometric in a neighbourhood of TT. We further prove that KIDS of ∂M∂M extend to Killing vectors near ∂M∂M. In the AdS type setting, we show unique continuation near conformal infinity if the metrics have the same conformal infinity and the same undetermined term. Extension near ∂M∂M of conformal Killing vectors of conformal infinity which leave the undetermined Fefferman–Graham term invariant is also established.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Piotr T. Chruściel, Erwann Delay,