Black holes cannot support conformal scalar hair

Details Black holes cannot support conformal scalar hair Black holes cannot support conformal scalar hair

1994-09-14

arxiv.org/abs/gr-qc/9409030v1

J.Math.Phys. 36 (1995) 6970-6980

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, TeX

Scientific paper

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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