The classification of static electro--vacuum space--times containing an asymptotically flat spacelike hypersurface with compact interior

Details The classification of static electro--vacuum space--times containing an asymptotically flat spacelike hypersurface with compact interior The classification of static electro--vacuum space--times containing an asymptotically flat spacelike hypersurface with compact interior

2005-12-06

arxiv.org/abs/gr-qc/0512043v2

Commun.Math.Phys.271:577-589,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex2e, 14 pages in A4, minor corrections and improvements of the presentation

Scientific paper

10.1007/s00220-007-0191-9

We show that static electro--vacuum black hole space--times containing an asymptotically flat spacelike hypersurface with compact interior and with both degenerate and non--degenerate components of the event horizon do not exist. This is done by a careful study of the near-horizon geometry of degenerate horizons, which allows us to eliminate the last restriction of the static electro-vacuum no-hair theory.

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