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arXiv 1102.3022gr-qcastro-ph.HE
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再论具有电流回路的黑洞

Black holes with current loops revisited

Ian G Moss

摘要:

电流回路内克尔黑洞周围的电磁场有时被用作讨论天体物理学黑洞附近粒子轨道性质的玩具模型的基础。本文的动机是纠正麦克斯韦方程组的解决方案与充电电流回路公布。偶极近似和封闭形式的表达式在极端克尔极限。利用修正后的解,我们发现,施加一个消失的电动势会产生一个回路,其电势在黑洞外的任何地方都是有限的。环形解决方案可以组合成具有多个环形或当前圆盘的解决方案。

英文摘要:

The electromagnetic field around a Kerr black hole inside a current loop is sometimes used as the basis of a toy model for discussing the properties of particle orbits near astrophysical black holes. The motivation for the present paper is to correct the published solution to Maxwell's equations with a charged current loop. Dipole approximations and closed-form expressions in the extreme Kerr limit are also presented. Using the corrected solution, it turns out that imposing a vanishing electromotive force produces a loop with a potential which is finite everywhere outside the black hole. Ring solutions can be combined into solutions with multiple rings or current discs.

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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