KIDs are non-generic
- Author(s)
- Robert Beig, Piotr T. Chrusciel, Richard M Schoen
- Abstract
We prove that the space-time developments of generic solutions of the vacuum constraint Einstein equations do not possess any global or local Killing vectors, when Cauchy data are prescribed on an asymptotically flat Cauchy surface, or on a compact Cauchy surface with mean curvature close to a constant, or for CMC asymptotically hyperbolic initial data sets. More generally, we show that nonexistence of global symmetries implies, generically, non-existence of local ones. As part of the argument, we prove that generic metrics do not possess any local or global conformal Killing vectors.
- Organisation(s)
- External organisation(s)
- Stanford University, Université François-Rabelais
- Journal
- Annales Henri Poincare
- Volume
- 6
- Pages
- 155-194
- No. of pages
- 40
- ISSN
- 1424-0637
- DOI
- https://doi.org/10.1007/s00023-005-0202-3
- Publication date
- 2005
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103036 Theoretical physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/kids-are-nongeneric(2f16adcc-2a5e-4429-b119-8fd41633e329).html