No-Hair Theorem for Spontaneously Broken Abelian Models in Static Black Holes
General Relativity and Quantum Cosmology
2009-10-28 v3 High Energy Physics - Theory
Abstract
The vanishing of the electromagnetic field, for purely electric configurations of spontaneously broken Abelian models, is established in the domain of outer communications of a static asymptotically flat black hole. The proof is gauge invariant, and is accomplished without any dependence on the model. In the particular case of the Abelian Higgs model, it is shown that the only solutions admitted for the scalar field become the vacuum expectation values of the self-interaction.
Keywords
Cite
@article{arxiv.gr-qc/9611069,
title = {No-Hair Theorem for Spontaneously Broken Abelian Models in Static Black Holes},
author = {Eloy Ayón-Beato},
journal= {arXiv preprint arXiv:gr-qc/9611069},
year = {2009}
}
Comments
8 pages, 2 figures, RevTeX; some changes to match published version