No-Hair Theorems and Black Holes with Hair

Details No-Hair Theorems and Black Holes with Hair No-Hair Theorems and Black Holes with Hair

1996-10-11

arxiv.org/abs/gr-qc/9610019v1

Helv.Phys.Acta 69 (1996) 501-528

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, latex

Scientific paper

The critical steps leading to the uniqueness theorem for the Kerr-Newman metric are reexamined in the light of the new black hole solutions with Yang-Mills and scalar hair. Various methods -- including scaling techniques, arguments based on energy conditions, conformal transformations and divergence identities -- are reviewed, and their range of application to selfgravitating scalar and non-Abelian gauge fields is discussed. In particular, the no-hair theorem is extended to harmonic mappings with arbitrary Riemannian target manifolds. (This paper is an extended version of an invited lecture held at the Journ\'ees Relativistes 96.)

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