New no-scalar-hair theorem for black-holes

Details New no-scalar-hair theorem for black-holes New no-scalar-hair theorem for black-holes

1996-01-15

arxiv.org/abs/gr-qc/9601021v1

J.Math.Phys. 37 (1996) 2346-2351

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, 12 pages

Scientific paper

10.1063/1.531513

A new no-hair theorem is formulated which rules out a very large class of non-minimally coupled finite scalar dressing of an asymptotically flat, static, and spherically symmetric black-hole. The proof is very simple and based in a covariant method for generating solutions for non-minimally coupled scalar fields starting from the minimally coupled case. Such method generalizes the Bekenstein method for conformal coupling and other recent ones. We also discuss the role of the finiteness assumption for the scalar field.

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