论文标题

在渐近平坦的圆柱虫孔中的静电和自力

Electrostatics and self-force in asymptotically flat cylindrical wormholes

论文作者

de Celis, E. Rubín, Simeone, C.

论文摘要

圆锥形虫洞中静电的问题被重新审视,现在以渐近平坦度改善了背景几何形状。在锥形薄壳虫孔连接平坦外部亚货号的圆锥形薄壳虫洞的时空中放置的点电荷上的电力自力,并将其与以前的作品的结果进行了比较。这项研究还以先前引入的类比来进行,在这种类比中,物质壳对电场的影响通过位于边界表面上的非电荷层复制。此外,通过进一步分析虫孔喉咙上的电通量和两个空间无限态,可以更好地了解非小拓扑的物理影响。发现喉咙被非肢体和有限的拓扑通量横穿,与源的电荷成正比,这是渐近平坦的圆柱虫洞的特征,无论喉咙几何细节如何。

The problem of the electrostatics in conical wormholes is revisited, now improving the background geometries with asymptotical flatness. The electric self-force on a point charge placed at different regions in the spacetime of a conical thin-shell wormhole connecting flat outer submanifolds is obtained and compared with the results of previous works. The study is also carried out in terms of a previously introduced analogy in which the effect of the matter shells on the electric field is reproduced by non-gravitating layers of charge located on the boundary surfaces. Besides, a better insight on the physical effects of a non trivial topology is obtained by means of a further analysis of the electric fluxes across the wormhole throat and at both spatial infinities. It is found that the throat is traversed by a non-arbitrary and finite topological flux, proportional to the charge of the source, which is characteristic of the asymptotically flat cylindrical wormholes regardless of the details of the throat geometry.

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