标题： 爱因斯坦-杨-米尔斯理论中极端视界的唯一性 显示英文标题

标题： Uniqueness of extreme horizons in Einstein-Yang-Mills theory

摘要： 我们考虑四维爱因斯坦-杨-Mills方程的静态极端黑洞解，允许负宇宙常数。 我们证明此类任何轴对称黑洞都具有近视界AdS(2)对称性，并推导出其近视界几何必须为阿贝尔嵌入的极端Kerr-Newman（AdS）黑洞的几何结构。 我们还表明任何静态黑洞的近视界几何都是AdS(2)和常曲率空间的直积。 显示英文摘要

摘要： We consider stationary extreme black hole solutions to the Einstein-Yang-Mills equations in four dimensions, allowing for a negative cosmological constant. We prove that any axisymmetric black hole of this kind possesses a near-horizon AdS(2) symmetry and deduce its near-horizon geometry must be that of the abelian embedded extreme Kerr-Newman (AdS) black hole. We also show that the near-horizon geometry of any static black hole is a direct product of AdS(2) and a constant curvature space.