TL;DR
This paper introduces a new no-hair theorem for black holes that excludes many non-minimally coupled scalar fields, using a simple covariant proof method that generalizes previous approaches.
Contribution
It formulates a novel no-hair theorem for black holes with non-minimally coupled scalar fields, extending existing methods and clarifying the role of scalar field finiteness.
Findings
Large class of non-minimally coupled scalar fields are ruled out as black-hole hair.
The proof is simple and based on a covariant solution-generating method.
The role of scalar field finiteness in black-hole solutions is discussed.
Abstract
A new no-hair theorem is formulated which rules out a very large class of non-minimally coupled finite scalar dressing of an asymptotically flat, static, and spherically symmetric black-hole. The proof is very simple and based in a covariant method for generating solutions for non-minimally coupled scalar fields starting from the minimally coupled case. Such method generalizes the Bekenstein method for conformal coupling and other recent ones. We also discuss the role of the finiteness assumption for the scalar field.
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