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arXiv 0906.2353hep-th
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阿贝尔Higgs模型中黑洞的无毛定理

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

Juan Fernandez-Gracia, Bartomeu Fiol

摘要:

受全息超导体研究的启发,我们推广了任意维任意视界拓扑的阿贝尔规范场下荷电的最小耦合标量场的无毛定理。首先,我们提出了一个简单的推广中性标量头发无头发定理。然后,我们考虑存在的极端黑洞与标量头发,并在视界的情况下,零或正曲率,提供一个约束的质量和电荷的标量场是必要的标量头发的发展。

英文摘要:

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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