Unique continuation and extensions of Killing vectors at boundaries for stationary vacuum space-times

Autor(en)

Piotr T. Chrusciel, Erwann Delay

Abstrakt

Generalizing Riemannian theorems of Anderson-Herzlich and Biquard, we show that two (n + 1)-dimensional stationary vacuum space-times (possibly with cosmological constant Lambda is an element of R) that coincide up to order one along a timelike hypersurface J are isometric in a neighbourhood of J. We further prove that KIDS of partial derivative M extend to Killing vectors near 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 partial derivative M of conformal Killing vectors of conformal infinity which leave the undetermined Fefferman-Graham term invariant is also established.

Organisation(en)

Gravitationsphysik

Externe Organisation(en)

University of Avignon

Journal

Journal of Geometry and Physics

Band

61

Seiten

1249-1257

Anzahl der Seiten

9

ISSN

0393-0440

DOI

https://doi.org/10.1016/j.geomphys.2011.02.011

Publikationsdatum

2011

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103028 Relativitätstheorie, 103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/05496916-56ac-4ab1-ae81-6f5f653653e7