论文标题
在存在宇宙常数的情况下，轴对称，极端范围
Axisymmetric, extremal horizons in the presence of a cosmological constant
论文作者
论文摘要
均得出了在拓扑$ 2 $ -sphere上定义的宇宙常数的所有轴对称解决方案。考虑了防止圆锥体奇异性的规律性条件。发现解决方案与Kerr-（抗）De Sitter SpaceTimes中极端视野的一对一对应关系。确定并表征了与三重变性范围相对应的溶液。在Petrov型D型方程的溶液中也确定了溶液。
All axisymmetric solutions to the near-horizon geometry equation with a cosmological constant defined on a topological $2$-sphere were derived. The regularity conditions preventing cone singularity at the poles were accounted for. The one-to-one correspondence of the solutions with the extremal horizons in the Kerr-(anti-)de Sitter spacetimes was found. A solution corresponding to the triply degenerate horizon was identified and characterized. The solutions were also identified among the solutions to the Petrov type D equation.
