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Black holes cannot support conformal scalar hair

T. Zannias

gr-qcarXiv:gr-qc/9409030

Abstract

It is shown that the only static asymptotically flat non-extrema black hole solution of the Einstein-conformally invariant scalar field equations having the scalar field bounded on the horizon, is the Schwarzschild one. Thus black holes cannot be endowed with conformal scalar hair of finite length.

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