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

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

1998-09-30

arxiv.org/abs/gr-qc/9809088v2

Class.Quant.Grav. 16 (1999) 661-687

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

This version includes an addendum with a corrected proof of non-existence of zeros of the Killing vector at degenerate horizon

Scientific paper

10.1088/0264-9381/16/3/004

We prove non-existence of static, vacuum, appropriately regular, asymptotically flat black hole space-times with degenerate (not necessarily connected) components of the event horizon. This finishes the classification of static, vacuum, asymptotically flat domains of outer communication in an appropriate class of space-times, showing that the domains of outer communication of the Schwarzschild black holes exhaust the space of appropriately regular black hole exteriors.

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