No Scalar Hair Theorem for a Charged Spherical Black Hole

Details No Scalar Hair Theorem for a Charged Spherical Black Hole No Scalar Hair Theorem for a Charged Spherical Black Hole

1998-03-05

arxiv.org/abs/gr-qc/9803019v3

Phys.Rev.D58:104024,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, Latex format, some minor corrections are made, accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.58.104024

This paper consolidates noscalar hair theorem for a charged spherically symmetric black hole in four dimension in general relativity as well as in all scalar tensor theories, both minimally and nonminimally coupled, when the effective Newtonian constant of gravity is positive. However, there is an exception when the matter field itself is coupled to the scalar field, such as in dilaton gravity.

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