Staticity Theorem for Non-Rotating Black Holes with Non-Minimally Coupled Self-Interacting Scalar Fields
Eloy Ayón-Beato
Abstract
Self-interacting scalar field configurations which are non-minimally coupled (ζ≠0) 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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