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arXiv 1905.09124gr-qc
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关于由额外空间维度维持的可穿越虫洞的进一步研究

More on traversable wormholes sustained by an extra spatial dimension

Peter K. F. Kuhfittig

AI总结:

本文在时间依赖的额外空间维度下研究可穿越虫洞,分析允许喉部由满足零能量条件的普通物质穿过、同时由第五维违反零能量条件来维持虫洞的条件,并讨论额外维度依赖可能导致的曲率奇点。

摘要:

本文在几个重要方面扩展了作者早先的一项研究 [Phys. Rev. D, vol. 98, 064041 (2018), arXiv:1809.01993]。首先,假设额外空间维度是时间依赖的,而红移函数和形状函数以及额外维度都是 $r$ 和 $l$ 的函数,其中 $r$ 和 $l$ 分别是径向坐标和额外坐标。主要目标是确定允许虫洞喉部由普通物质穿过(即满足零能量条件)的条件,并确定同样的条件会导致第五维中零能量条件的违反,因此可以认为第五维有助于维持虫洞。度规系数对 $l$ 和时间 $t$ 的依赖可能有助于也可能阻碍使用普通物质的能力,而对第五维的无限制依赖可能导致喉部出现曲率奇点。最后,额外维度可能极其微小,甚至可能是卷曲的。

英文摘要:

This paper extends an earlier study by the author [Phys. Rev. D, vol. 98, 064041 (2018), arXiv:1809.01993] in several significant ways. To begin with, the extra spatial dimension is assumed to be time dependent, while the redshift and shape functions, as well as the extra dimension, are functions of both $r$ and $l$, the respective radial and extra coordinates. The main goal is to determine the conditions that allow the throat of the wormhole to be threaded with ordinary matter (by respecting the null energy condition) and that the same conditions lead to a violation of the null energy condition in the fifth dimension, which can therefore be credited with helping to sustain the wormhole. The dependence of the metric coefficients on $l$ and time $t$ may either help or hinder the ability to use ordinary matter, while an unrestricted dependence on the fifth dimension could lead to a curvature singularity at the throat. Finally, the extra dimension may be extremely small or even curled up.

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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