论文标题
所有高维Majumdar-Papapetrou黑洞
All higher-dimensional Majumdar-Papapetrou black holes
论文作者
论文摘要
我们证明,在广义的Majumdar-Papapetrou类中,唯一具有适当常规事件范围的渐进式空间是针对较高维的Einstein-Maxwell理论的跨性别的溶液类是标准的多黑色孔。该证明涉及对近晶体几何形状的仔细分析,以及将正质量定理扩展到带有圆锥形奇异性的Riemannian歧管。这完成了该理论中渐近,静态,极端黑洞解决方案的分类。
We prove that the only asymptotically flat spacetimes with a suitably regular event horizon, in a generalised Majumdar-Papapetrou class of solutions to higher-dimensional Einstein-Maxwell theory, are the standard multi-black holes. The proof involves a careful analysis of the near-horizon geometry and an extension of the positive mass theorem to Riemannian manifolds with conical singularities. This completes the classification of asymptotically flat, static, extreme black hole solutions in this theory.