No-Hair Theorem for Spontaneously Broken Abelian Models in Static Black Holes

Details No-Hair Theorem for Spontaneously Broken Abelian Models in Static Black Holes No-Hair Theorem for Spontaneously Broken Abelian Models in Static Black Holes

1996-11-28

arxiv.org/abs/gr-qc/9611069v3

Phys.Rev. D62 (2000) 104004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 2 figures, RevTeX; some changes to match published version

Scientific paper

10.1103/PhysRevD.62.104004

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.

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