Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895485 | Journal of Geometry and Physics | 2016 | 8 Pages |
Abstract
We describe a proof of M.T. Anderson’s result (Anderson, 2000) on the rigidity of complete stationary initial data for the Einstein vacuum equations in spacetime dimension 3+13+1, under an extra assumption on the norm of the stationary Killing vector field. The argument only involves basic comparison geometry along with some Bochner–Weitzenböck formula techniques. We also discuss on the possibility to extend these techniques to higher dimensions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Julien Cortier, Vincent Minerbe,