没有类光线的时空是稳定因果的
Chronological spacetimes without lightlike lines are stably causal
摘要：
标题的陈述得到了证实。这意味着在物理上合理的条件下，没有奇点的时空必然是稳定的因果关系，因此允许一个时间函数。作为一个奇点定理，它指出，如果时空上存在某种形式的因果关系违反，那么要么它是最坏的可能，即违反年表，要么存在奇点。类似的结果：证明了“没有类光射线的非完全恶时空是全局双曲的”，并探讨了其物理后果。
英文摘要：
The statement of the title is proved. It implies that under physically reasonable conditions, spacetimes which are free from singularities are necessarily stably causal and hence admit a time function. Read as a singularity theorem it states that if there is some form of causality violation on spacetime then either it is the worst possible, namely violation of chronology, or there is a singularity. The analogous result: "Non-totally vicious spacetimes without lightlike rays are globally hyperbolic" is also proved, and its physical consequences are explored.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
