# Black holes with vector hair

@article{Fan2016BlackHW,
title={Black holes with vector hair},
author={Zhong Fan},
journal={Journal of High Energy Physics},
year={2016},
volume={2016},
pages={1-27}
}
• Z. Fan
• Published 2 June 2016
• Mathematics
• Journal of High Energy Physics
A bstractIn this paper, we consider Einstein gravity coupled to a vector field, either minimally or non-minimally, together with a vector potential of the type V=2Λ0+12m2A2+γ4A4$$V = 2{\varLambda}_0+\frac{1}{2}{m}^2{A}^2 + {\gamma}_4{A}^4$$. For a simpler non-minimally coupled theory with Λ0 = m = γ4 = 0, we obtain both extremal and non-extremal black hole solutions that are asymptotic to Minkowski space-times. We study the global properties of the solutions and derive the first law of…
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