Black holes in static vacuum space-times

Details Black holes in static vacuum space-times Black holes in static vacuum space-times

Feb 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973gregr...4...53h&link_type=abstract

General Relativity and Gravitation, Volume 4, Issue 1, pp.53-78

Physics

19

Scientific paper

An extension of Israel's theorem on the regularity of Killing horizons is proven. Well behaved asymptotically flat vacuum solutions of the Einstein equations which represent the exterior of a non-rotating black hole are considered. It is shown that the black hole has spherical topology and that the equipotential surfaces g 00=constant are non-intersecting two-spheres. The solutions must therefore be members of the one-parameter family of spherically symmetric Schwarzschild solutions.

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