论文标题
计算轴心电动轴的多极矩
Calculation of multipole moments of axistationary electrovacuum spacetimes
论文作者
论文摘要
固定轴向对称真空或电动空间的多重矩可以根据轴上Ernst电势的功率序列膨胀系数表示。在本文中，我们提出了对多极矩的更简单，更有效的计算，应用了Bäckdahl和Herberthson引入的方法。对于非武器电磁病例，我们的八杆磁极和较高矩与已经在文献中发表的结果有所不同。造成这种差异的原因是，我们在ERNST方程的功率系列解决方案中纠正了较早的未注意到的错误。我们还采用了呈现的方法直接计算Kerr和Tomimatsu-sato精确溶液的5参数带电磁化的多极矩。
The multipole moments of stationary axially symmetric vacuum or electrovacuum spacetimes can be expressed in terms of the power series expansion coefficients of the Ernst potential on the axis. In this paper we present a simpler, more efficient calculation of the multipole moments, applying methods introduced by Bäckdahl and Herberthson. For the non-vacuum electromagnetic case, our results for the octupole and higher moments differ from the results already published in the literature. The reason for this difference is that we correct an earlier unnoticed mistake in the power series solution of the Ernst equations. We also apply the presented method to directly calculate the multipole moments of a 5-parameter charged magnetized generalization of the Kerr and Tomimatsu-Sato exact solutions.
