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arXiv 2301.05037gr-qc
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可穿越虫洞

Dymnikova-Schwinger traversable wormholes

Milko Estrada, Celio R. Muniz

摘要:

在本文中,我们得到了新的$d$维和渐近平坦的虫洞解决方案,通过假设一个特定形式的能量密度分布。这是解决考虑推广的所谓的Dymnova模型,最初研究的背景下,定期黑洞。通过这种方式,我们找到了相关参数的约束条件,即喉半径,与物质分布相关的尺度,以及时空维度,以构建这些虫洞。接下来,我们研究所获得的解决方案,即嵌入图以及弱和弱能量条件(WEC和NEC)的性质。我们表明,更大的尺寸,更大的平面度的虫洞和更明显的违反这些能量条件。我们还表明,相应的流体的行为作为幻影般的$d \geq 4$在附近的虫洞喉。此外,我们专门为$d=4$时空的就业模型,它与引力模拟的Schwinger效应在真空中,并通过引入一个最小的长度通过广义不确定原理(GUP)校正模型。因此,我们得到了一个新的遍历和渐近平坦的虫洞解决方案,考虑到最小长度是非常微小的。相关的嵌入图向我们表明,与没有这个基本量的情况相比,这个基本量的存在增加了虫洞朝向其喉部的斜率。这种校正也减弱了喉部附近的WEC(和NEC)违反,与没有最小长度的情况不同,流体在普朗克尺度下不再是幻影类型。

英文摘要:

In this paper, we obtain new $d$-dimensional and asymptotically flat wormhole solutions by assuming a specific form of the energy density distribution. This is addressed by considering the generalization of the so-called Dymnikova model, originally studied in the context of regular black holes. In this way, we find constraints for the involved parameters, namely, the throat radius, the scale associated to the matter distribution, and the spacetime dimension, to build those wormholes. Following, we study the properties of the obtained solutions, namely, embedding diagrams as well as Weak and Null Energy Conditions (WEC and NEC). We show that the larger the dimension, the larger the flatness of the wormhole and the more pronounced the violation of these energy conditions. We also show that the corresponding fluid behaves as phantom-like for $d \geq 4$ in the neighborhood of the wormhole throat. In addition, we specialize the employed model for $d=4$ spacetime, associating it with the gravitational analog of the Schwinger effect in a vacuum and correcting the model by introducing a minimal length via Generalized Uncertainty Principle (GUP). Thus, we obtain a novel traversable and asymptotically flat wormhole solution by considering that the minimal length is very tiny. The associated embedding diagram shows us that the presence of this fundamental quantity increases the slope of the wormhole towards its throat compared with the case without it. That correction also attenuates the WEC (and NEC) violations nearby the throat, with the fluid ceasing to be a phantom-type at the Planck scale, unlike the case without the minimal length.

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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