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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148836Self-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)General Relativity and Quantum CosmologyStaticity Theorem for Non-Rotating Black Holes with Non-Minimally Coupled Self-Interacting Scalar Fieldstext