Some examples of incomplete space-times
Some examples of incomplete space-times
复制标题
不完整时空的一些例子
DOI：
--
复制
发表时间：
1976
期刊：
影响因子：
--
通讯作者：
J. Beem
中科院分区：
文献类型：
--
作者：
J. Beem
给出了一个时空类时的例子，它是类时、类空的完备的，但为空的不完全的。文中还给出了一个测地完备但包含有界加速度和有限长度的不可扩展类时曲线的时空的例子。这两个例子可以被修改，使得它们在每种情况下都变得全局双曲线，并保持所述的性质。所有例子都共形等价于二维Minkowski空间的开子集。
An example is given of a space-time which is timelike and spacelike complete but null incomplete. An example is also given of a space-time which is geodesically complete but contains an inextendible timelike curve of bounded acceleration and finite length. These two examples may be modified so that in each case they become globally hyperbolic and retain the stated properties. All of the examples are conformally equivalent to open subsets of the two-dimensional Minkowski space.