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Black holes cannot support conformal scalar hair

T. Zannias
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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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T. Zannias. 1994-09-14. Black holes cannot support conformal scalar hair. https://doi.org/10.1063/1.531201

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