No minimally coupled scalar black hole hair in Lanczos-Lovelock gravity
General Relativity and Quantum Cosmology
2014-08-11 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1402.6166,
title = {No minimally coupled scalar black hole hair in Lanczos-Lovelock gravity},
author = {Jozef Skakala and S. Shankaranarayanan},
journal= {arXiv preprint arXiv:1402.6166},
year = {2014}
}
Comments
9 pages, v2: minor changes, the final version accepted for publication in Class.Quant.Grav