Staticity Theorem for Non-Rotating Black Holes with Non-Minimally Coupled Self-Interacting Scalar Fields

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Self-interacting scalar field configurations which are non-minimally coupled ($ζ\neq0$) to the gravity of a strictly stationary black hole with non-rotating horizon are studied. It is concluded that for analytical configurations the corresponding domain of outer communications is static.
8 pages, LaTeX; new version to appear in ``Exact Solutions and Scalar Fields in Gravity: Recent Developments,'' eds. A. Macias, J. Cervantes-Cota, and C. Laemmerzahl (Kluwer Academic Publishing)

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