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arXiv 2102.01668gr-qchep-th
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各向同性压力下的非对易几何虫洞

Noncommutative-geometry wormholes with isotropic pressure

Peter K. F. Kuhfittig

摘要:

在最初的莫里斯-索恩虫洞中采用的策略是保留对几何形状的完全控制,但牺牲了某些工程考虑。本文的目的是通过假设一个非对易的几何背景下,伴随着各向同性压力条件,获得几个完整的虫洞的解决方案。这个条件允许我们考虑一个具有理想流体状态方程的宇宙学背景。一个扩展形式的方程推广的第一个解决方案,并随后导致广义Chaubergin气体模型,因此到第三个解决方案。所得解推广了几个已有的结果。本文还重申需要非对易几何背景来解释莫里斯-索恩虫洞所特有的巨大径向张力。

英文摘要:

The strategy adopted in the original Morris-Thorne wormhole was to retain complete control over the geometry at the expense of certain engineering considerations. The purpose of this paper is to obtain several complete wormhole solutions by assuming a noncommutative-geometry background with a concomitant isotropic-pressure condition. This condition allows us to consider a cosmological setting with a perfect-fluid equation of state. An extended form of the equation generalizes the first solution and subsequently leads to the generalized Chaplygin-gas model and hence to a third solution. The solutions obtained extend several previous results. This paper also reiterates the need for a noncommutative-geometry background to account for the enormous radial tension that is characteristic of Morris-Thorne wormholes.

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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