No-hair theorems for black holes in the Abelian Higgs model

Details No-hair theorems for black holes in the Abelian Higgs model No-hair theorems for black holes in the Abelian Higgs model

2009-06-12

arxiv.org/abs/0906.2353v3

JHEP 0911:054,2009

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. v2: expanded abstract, added references

Scientific paper

10.1088/1126-6708/2009/11/054

Motivated by the study of holographic superconductors, we generalize no-hair theorems for minimally coupled scalar fields charged under an Abelian gauge field, in arbitrary dimensions and with arbitrary horizon topology. We first present a straightforward generalization of no-hair theorems for neutral scalar hair. We then consider the existence of extremal black holes with scalar hair, and in the case of horizons with zero or positive curvature, provide a bound on the mass and charge of the scalar field that are necessary for the scalar hair to develop.

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