标题： 多重连通德西特空间的持续性 显示英文标题

标题： Perdurance of multiply connected de Sitter space

摘要： 本文研究了球对称的一阶度规扰动和真空量子涨落对Gott和Li最近提出的多重连通的de Sitter时空稳定性的影响。本研究的主要结论是，尽管这种时空对于任何非因果区域大小的经典度规扰动都是稳定的，但只有当多重连通区域的大小在普朗克尺度量级时，它才对真空的量子涨落稳定。因此，基于宇宙在闭合类时曲线起作用并稳定的区域内自我创造这一概念的宇宙状态边界条件，仍然似乎在物理和哲学上同样得到支持，就像那些基于宇宙从无中创造的概念的边界条件一样。 显示英文摘要

摘要： This paper deals with a study of the effects that spherically symmetric first-order metric perturbations and vacuum quantum fluctuations have on the stability of the multiply connected de Sitter spacetime recently proposed by Gott and Li. It is the main conclusion of this study that although such a spacetime is stable to the classical metric perturbations for any size of the nonchronal region, it is only stable against the quantum fluctuations of vacuum if the size of the multiply connected region is of the order the Planck scale. Therefore, boundary conditions for the state of the universe based on the notion that the universe created itself in a regime where closed timelike curves were operative and stable, still appear to be physically and philosophically so well supported as are those boundary conditions relying on the notion that the universe was created out of nothing.