Spherical Black Holes cannot Support Scalar Hair

Details Spherical Black Holes cannot Support Scalar Hair Spherical Black Holes cannot Support Scalar Hair

1997-12-19

arxiv.org/abs/gr-qc/9712083v1

Phys.Rev.D58:087502,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Simple Tex

Scientific paper

10.1103/PhysRevD.58.087502

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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