Topology change in classical and quantum gravity
Topology change in classical and quantum gravity
复制标题
经典引力和量子引力的拓扑变化
DOI：
10.1088/0264-9381/8/4/007
复制
发表时间：
1991
影响因子：
3.5
通讯作者：
G. Horowitz
中科院分区：
文献类型：
--
作者：
G. Horowitz
在一阶公式中，即使在度规退化的极限下，广义相对论方程仍然保持良好的定义。证明了在空间拓扑变化的流形上，这些方程存在光滑解。度量在测度为零的集合上退化，但曲率仍然有界。因此，如果简并度规在量子引力中发挥任何作用，拓扑变化是不可避免的。
In a first-order formulation, the equations of general relativity remain well defined even in the limit that the metric becomes degenerate. It is shown that there exist smooth solutions to these equations on manifolds in which the topology of space changes. The metric becomes degenerate on a set of measure zero, but the curvature remains bounded. Thus if degenerate metrics play any role in quantum gravity, topology change is unavoidable.