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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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8 pages, LaTeX; new version to appear in ``Exact Solutions and Scalar Fields in Gravity: Recent Developments,'' eds. A. Macias

Scientific paper

Self-interacting scalar field configurations which are non-minimally coupled
($\zeta\neq0$) 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.

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