两个Schwarazschild黑洞叠加时空的拓扑反常

TOPOLOGY ANOMALY IN THE SPACETIME OF TWO SCHWARZSCHILD BLACK HOLES

用Gauss-Bonnet定理证明:2个Schwarzschild黑洞中心连线之间的弱奇点存在拓扑反常,即包围该连线任意一部分的二维闭合曲面上Euler示性数不是整数,包含这种拓扑反常的时空不是Lorentz流形.这一结论对Einstein的经典引力理论提出了一个挑战.

It is proved using Gauss-Bonnet theorem that there exists topology anomaly at the weak singularity on the line connecting the centers of two Schwarzschild black holes, i. e., the Euler characteristic is not an integer on an arbitrary 2-dimensional closed surface enclosing any part of that line. A spacetime admitting such anomaly is not a Lorentz manifold. This conclusion is a challenge against Einstein's classical theory of gravita- tion.