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Probing global aspects of a geometry by the self-force on a charge: Spherical thin-shell wormholes

机译:通过充电上的自我力量探测几何的全局方面:   球形薄壳虫洞

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摘要

The self-interaction for a static point charge in the space-time of athin-shell wormhole constructed connecting two identical Schwarzschildgeometries is calculated in a series expansion. The electrostatic self-force isevaluated numerically. It is found to be attractive towards the throat exceptfor some values of the throat radius proximate to the value of theSchwarzschild horizon for which the force is repulsive or attractive dependingon the position of the charge. The result differs from the self-force in thespace-time of the Schwarzschild black hole, where it is always repulsive fromthe center. Although these wormhole and black hole geometries are locallyindistinguishable, the different topologies of both backgrounds are manifestedin the electrostatic field of a point charge.
机译:通过级数展开,计算了连接两个相同的Schwarzschildgeometries的athin-shell虫洞时空中静点电荷的自相互作用。对静电自力进行数值评估。发现它对喉咙具有吸引力,除了一些喉咙半径接近施瓦兹希尔德视界值的值之外,根据装药位置,该力会产生排斥或吸引。结果与Schwarzschild黑洞的时空自力不同,后者总是从中心排斥。尽管这些虫洞和黑洞的几何形状在本地无法区分,但两种背景的不同拓扑结构在点电荷的静电场中均得到体现。

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