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arXiv 1008.1127gr-qcastro-ph.HEhep-th
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封闭类时曲线与因果关系破坏

Closed timelike curves and causality violation

Francisco S. N. Lobo

摘要:

时间的概念定义和理解,无论是定量的还是定性的,都是极其困难和重要的。当时间被纳入时空结构的适当结构时,有趣的是注意到广义相对论被非平凡几何所污染,这些几何产生封闭的类时曲线。封闭的类时曲线(CTC)允许时间旅行,在这个意义上,沿着这条曲线在时空中的轨迹上旅行的观察者可能会回到他离开之前的事件。这一事实显然违背了因果关系,因此时间旅行及其相关的悖论必须非常谨慎地对待。悖论分为两大类,即一致性悖论和因果循环。包含CTC的爱因斯坦场方程有很多种解,其中有两个特别臭名昭著的特征。由于绕圆柱对称轴的旋转而导致光锥翻转的解和违反能量条件的解。本文对这些方面进行了分析。

英文摘要:

The conceptual definition and understanding of time, both quantitatively and qualitatively is of the utmost difficulty and importance. As time is incorporated into the proper structure of the fabric of spacetime, it is interesting to note that General Relativity is contaminated with non-trivial geometries which generate closed timelike curves. A closed timelike curve (CTC) allows time travel, in the sense that an observer that travels on a trajectory in spacetime along this curve, may return to an event before his departure. This fact apparently violates causality, therefore time travel and it's associated paradoxes have to be treated with great caution. The paradoxes fall into two broad groups, namely the consistency paradoxes and the causal loops. A great variety of solutions to the Einstein field equations containing CTCs exist and it seems that two particularly notorious features stand out. Solutions with a tipping over of the light cones due to a rotation about a cylindrically symmetric axis and solutions that violate the energy conditions. All these aspects are analyzed in this review paper.

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。

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