Hawking's local rigidity theorem without analyticity
arXiv:0902.1173
Abstract
We prove the existence of a Hawking Killing vector-field in a full neighborhood of a local, regular, bifurcate, non-expanding horizon embedded in a smooth vacuum Einstein space-time. We do not assume analyticity of the space-time. This result will be applied in a second paper to prove a perturbative version of the uniqueness of smooth, stationary black holes in vacuum.
References in corpus (5)
- On the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a Compact Cauchy Horizon
- On the topology of stationary black holes
- On the uniqueness of smooth, stationary black holes in vacuum
- Uniqueness results for ill posed characteristic problems in curved space-times
- Unique continuation for the vacuum Einstein equations