Physics
Scientific paper
Oct 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992gregr..24.1101s&link_type=abstract
General Relativity and Gravitation, Volume 24, Issue 10, pp.1101-1110
Physics
Scientific paper
It is demonstrated, in a straightforward approach, that a static black hole has no spinor hair if we assume that the fields vanish at infinity. We extend this to the case of asymptotically covariantly constant spinors (Witten spinors) which approach a constant value at spatial infinity. We show that with the dominant energy condition and in absence of external spinor sources, Witten spinors must vanish everywhere in the region exterior to a stationary black hole with an horizon in an asymptotically flat space-time.
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