Dressing a black hole with non-minimally coupled scalar field hair

Details Dressing a black hole with non-minimally coupled scalar field hair Dressing a black hole with non-minimally coupled scalar field hair

2005-01-29

arxiv.org/abs/gr-qc/0501096v2

Class.Quant.Grav.22:2233-2248,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 7 figures, uses iopart.cls. Minor changes, accepted for publication in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/22/11/020

We investigate the possibility of dressing a four-dimensional black hole with classical scalar field hair which is non-minimally coupled to the space-time curvature. Our model includes a cosmological constant but no self-interaction potential for the scalar field. We are able to rule out black hole hair except when the cosmological constant is negative and the constant governing the coupling to the Ricci scalar curvature is positive. In this case, non-trivial hairy black hole solutions exist, at least some of which are linearly stable. However, when the coupling constant becomes too large, the black hole hair becomes unstable.

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