论文标题

在可穿越的Yukawa-Casimir虫洞上

On the traversable Yukawa-Casimir wormholes

论文作者

Oliveira, P. H. F., Alencar, G., Jardim, I. C., Landim, R. R.

论文摘要

虫洞(WH)需要负能量,因此是外来物质来源。由于Casimir Energy是负面的,因此人们被推测为很久以前对象的良好候选人。但是,Garattini仅发现了$ D = 4 $的完整解决方案,因此Casimir Energy可以成为可遍历WH的来源。在作者出版的手稿中,我们表明该解决方案对于维度的所有时空$ d> 3 $都是可能的。最近,Garattini试图分析Yukawa型术语对形状函数的影响,并获得了有希望的结果。但是,当假设仅在通常模型中观察到的常数和考虑零潮汐条件时,在状态方程中建立非均匀性时,它假设了相当可疑的前提,而在Casimir的蠕虫孔中未观察到零。在这项工作中,我们研究了Yukawa型矫正因子对Casimir Energy产生的可遍历虫洞溶液产生的影响,而无需假设这种前提。我们观察到,除了有可能建立满足所有必要条件的可穿越的虫洞外,还可以获得常数的足够固定,以便在没有双重限制的情况下恢复标准案例。据观察,在整体和恒定的情况下,可以在屏蔽参数中设置一个值,从而使虫孔产生排斥力。最后,我们观察到,在恒定情况下,屏蔽因子有一个限制,在原始文章中未观察到这一点。

Wormholes (WH) require negative energy, and therefore an exotic matter source. Since Casimir energy is negative, it has been speculated as a good candidate to source that objects a long time ago. However only very recently a full solution for $D = 4$ has been found by Garattini, thus the Casimir energy can be a source of traversable WHs. In the manuscript published by the authors, we show that this solution is possible for all space-time of dimension $D > 3$. Recently, Garattini sought to analyze the effects of Yukawa-type terms on shape functions and obtained promising results. However, it assumes reasonably questionable premises when establishing a non-homogeneity in the Equation of State, when assuming a fixation between the constants that is only observed in the usual model and when considering the Zero Tidal Condition, not observed in Casimir's wormholes. In this work, we study the effects generated by Yukawa-type corrective factors on traversable wormhole solutions generated by Casimir energy without assuming such premises. We observe that, in addition to being possible to build traversable wormholes that satisfy all the necessary conditions, it is possible to obtain an adequate fixation of the constants in order to recover the standard case without a double limit. It was observed that, in the global and constant cases, it is possible to set a value in the shielding parameter that makes the wormhole generate a repulsive gravitational force. Finally, we observed that in the constant case there was a limitation for the shielding factor, something not observed in the original article.

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