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"No-Scalar-Hair" Theorems for Nonminimally Coupled Fields with Quartic Self-Interaction

Eloy Ayón-Beato
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Abstract

Self-gravitating scalar fields with nonminimal coupling to gravity and having a quartic self-interaction are considered in the domain of outer communications of a static black hole. It is shown that there is no value of the nonminimal coupling parameter $ζ$ for which nontrivial static black hole solutions exist. This result establishes the correctness of Bekenstein ``no-scalar-hair'' conjecture for quartic self-interactions.

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Eloy Ayón-Beato. 2002-12-11. "No-Scalar-Hair" Theorems for Nonminimally Coupled Fields with Quartic Self-Interaction. https://doi.org/10.1088/0264-9381%2F19%2F21%2F311

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