On the existence of conformally coupled scalar field hair for black holes in (anti-)de Sitter space

Details On the existence of conformally coupled scalar field hair for black holes in (anti-)de Sitter space On the existence of conformally coupled scalar field hair for black holes in (anti-)de Sitter space

2002-05-21

arxiv.org/abs/gr-qc/0205092v3

Found.Phys. 33 (2003) 111-143

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Minor changes, 32 pages, 11 figures, uses kluwer.cls, klucite.sty

Scientific paper

The Einstein-conformally coupled scalar field system is studied in the presence of a cosmological constant. We consider a massless or massive scalar field with no additional self-interaction, and spherically symmetric black hole geometries. When the cosmological constant is positive, no scalar hair can exist and the only solution is the Schwarzschild-de Sitter black hole. When the cosmological constant is negative, stable scalar field hair exists provided the mass of the scalar field is not too large.

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