标题： 洛伦兹时空的稳定性 显示英文标题

标题： The Stability of Lorentzian Space-Time

摘要： 许多教科书都提到，在广义相对论中出现的任何度规都应该是局部洛伦兹度规，即属于$\eta_\mn = {\rm diag} (1,-1,-1,-1)$这种类型，这通常被作为理论的一个独立公理提出，不能从其他假设推导出来。在这项工作中，我们证明上述断言是爱因斯坦\eqs 的标准稳定性分析的结果，不需要被假定。 显示英文摘要

摘要： It is stated in many text books that the any metric appearing in general relativity should be locally Lorentzian i.e. of the type $\eta_\mn = {\rm diag} (1,-1,-1,-1)$ this is usually presented as an independent axiom of the theory, which can not be deduced from other assumptions. In this work we show that the above assertion is a consequence of a standard stability analysis of the Einstein \eqs and need not be assumed.