The No-Hair Theorem for the Abelian Higgs Model

TL;DR

This paper proves a no-hair theorem for static, spherically symmetric black holes within the abelian Higgs model, addressing previous objections and solidifying the conjecture's validity.

Contribution

It provides a new proof of the no-hair theorem for the abelian Higgs model that overcomes earlier criticisms and extends the theoretical understanding of black hole uniqueness.

Findings

No-hair theorem holds for the abelian Higgs model

Previous objections to the theorem are circumvented

The proof strengthens the theoretical foundation of black hole uniqueness

Abstract

We consider the general procedure for proving no-hair theorems for static, spherically symmetric black holes. We apply this method to the abelian Higgs model and find a proof of the no-hair conjecture that circumvents the objections raised against the original proof due to Adler and Pearson.