No minimally coupled scalar black hole hair in Lanczos-Lovelock gravity

Abstract

We extend here the result of Bekenstein [1,2] proving the non-existence of minimally coupled scalar black hole hair in general relativity to the Lanczos-Lovelock gravity in arbitrary dimension with non-negative coupling constants. The only physical requirement on the multiplet of minimally coupled scalar fields is that it fulfills the weak energy condition. We also assume, similarly to Bekenstein, spherical symmetry and asymptotic flatness.

9 pages, v2: minor changes, the final version accepted for publication in Class.Quant.Grav

References in corpus (2)

• Kerr black holes with scalar hair
• Lovelock black holes with maximally symmetric horizons

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• Asymptotically flat black holes with scalar hair: a review
• Constraints on the symmetry noninheriting scalar black hole hair
• On symmetry inheritance of nonminimally coupled scalar fields
• On the effect of scalar fields on Hawking radiation and quasinormal modes of black holes