Comment on ``Absence of abelian Higgs hair for extremal black holes''

TL;DR

This paper challenges previous claims that extremal black holes cannot have abelian Higgs hair by providing evidence to the contrary and analyzing the reasons for the discrepancy.

Contribution

The authors present evidence contradicting prior assertions about the absence of abelian Higgs hair on extremal black holes.

Findings

Evidence supporting the existence of abelian Higgs hair on extremal black holes

Analysis of reasons behind previous claims' discrepancies

Discussion on implications for black hole hair theories

Abstract

We examine the claim of Chamblin et. al. that extreme black holes cannot support abelian Higgs hair. We provide evidence that contradicts this claim and discuss reasons for this discrepancy.