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arXiv · gr-qc/9712083

Spherical Black Holes cannot Support Scalar Hair

D. Sudarsky·T. Zannias
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Abstract

The static spherically symmetric ``black hole solution" of the Einstein - conformally invariant massless scalar field equations known as the BBMB ( Bocharova, , Bronikov, Melinkov, Bekenstein) black hole is critically examined. It is shown that the stress energy tensor is ill-defined at the horizon, and that its evaluation through suitable regularization yields ambiguous results. Consequently, the configuration fails to represent a genuine black hole solution. With the removal of this solution as a counterexample to the no hair conjecture, we argue that the following appears to be true: Spherical black holes cannot carry any kind of classical scalar hair.

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D. Sudarsky, T. Zannias. 1997-12-19. Spherical Black Holes cannot Support Scalar Hair. https://doi.org/10.1103/physrevd.58.087502

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