论文标题
关于真空黑镜的不存在
On the nonexistence of a vacuum black lens
论文作者
论文摘要
我们证明，不存在五维，渐近平坦，固定和双重对称，真空黑孔，带镜头空间$ l（n，1）$拓扑，具有最简单的杆结构，不存在。特别是，我们表明，轴和地平线上的一般解决方案最近通过利用该系统的集成性构建，必须在内轴组件上具有锥形奇异性。我们为这两个不同的单一旋转构型和数值证据提供了证明。
We demonstrate that five-dimensional, asymptotically flat, stationary and biaxisymmetric, vacuum black holes with lens space $L(n, 1)$ topology, possessing the simplest rod structure, do not exist. In particular, we show that the general solution on the axes and horizon, which we recently constructed by exploiting the integrability of this system, must suffer from a conical singularity on the inner axis component. We give a proof of this for two distinct singly spinning configurations and numerical evidence for the generic doubly spinning solution.
