论文标题

可遍布的虫洞的无法访问

Inaccessibility of traversable wormholes

论文作者

Terno, Daniel R.

论文摘要

对一般相对论方程式的虫洞解决方案具有一定的局部和全局特性。由于这些异常特征并未被已知的物理学明确禁止,因此在各种天体物理和宇宙学场景中都考虑了虫洞。范式可遍历的虫洞模型由静态球形对称的Ellis- Morris- Thorne和Simpson- visser指标描述。我们表明,半经典爱因斯坦方程的动力解可以将这些指标作为其静态极限。另一方面,动态解决方案的可能静态限制是不可遍历的。此外,它们导致违反量子能量不平等,限制违反量子场的无效状况。该结论不取决于可能为虫洞构造提出的田地的特定特性。结果,半经典重力不能存在球形对称的虫洞。

Wormhole solutions to the equations of general relativity have some spectacular local and global properties. As these unusual features are not explicitly forbidden by known physics, wormholes are considered in various astrophysical and cosmological scenarios. The paradigmatic traversable wormhole models are described by static spherically-symmetric Ellis--Morris--Thorne and Simpson--Visser metrics. We show that no dynamical solution of the semiclassical Einstein equations can have these metrics as their static limit. On the other hand, possible static limits of the dynamical solutions are not traversable. Moreover, they lead to violation of a quantum energy inequality that bounds violations of the null energy condition by quantum fields. This conclusion does not depend on specific properties of fields that may be proposed for wormhole construction. As a result, spherically-symmetric wormholes cannot exist in semiclassical gravity.

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