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

Eloy Ayón-Beato
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Abstract

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.

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Eloy Ayón-Beato. 2001-01-30. Staticity Theorem for Non-Rotating Black Holes with Non-Minimally Coupled Self-Interacting Scalar Fields. https://arxiv.org/abs/gr-qc/9606081

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