On rigidity of analytic black holes
arXiv:gr-qc/9610011 · doi:10.1007/s002200050187
Abstract
We establish global extendibility (to the domain of outer communications) of locally defined isometries of appropriately regular analytic black holes. This allows us to fill a gap in the Hawking-Ellis proof of black-hole rigidity.
10 pages, latex with amssymb
References in corpus (5)
- On the topology of stationary black holes
- Topology of Event Horizons and Topological Censorship
- Strong cosmic censorship in vacuum space--times with compact, locally homogeneous Cauchy surfaces
- "No Hair" Theorems -- Folklore, Conjectures, Results
- The isometry groups of asymptotically flat, asymptotically empty space-times with timelike ADM four-momentum
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