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arXiv 0705.0117hep-thgr-qc
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旋转黑环度规中的粒子运动

Particle Motion in the Rotating Black Ring Metric

James Hoskisson

摘要:

本文导出了中性转动黑环度规中测地线的运动方程,并考虑了这些方程的可分性。大部分的文件是有关的解决方案,其中测地线方程可以检查分析-特别是测地线限于轴的旋转,测地线限制在赤道平面,测地线的圆圈通过中心的环。旋转轴上的测地线表现得像势阱中的粒子,而赤道平面上的测地线则模仿史瓦西度规。它表明,它是不可能有圆形轨道,通过环,但一些数值结果表明,它是可能有约束轨道,通过环的圆。

英文摘要:

In this paper, the equations of motion for geodesics in the neutral rotating Black Ring metric are derived and the separability of these equations is considered. The bulk of the paper is concerned with sets of solutions where the geodesic equations can be examined analytically - specifically geodesics confined to the axis of rotation, geodesics restricted to the equatorial plane, and geodesics that circle through the centre of the ring. The geodesics on the rotational axis behave like a particle in a potential well, while the geodesics confined to the equatorial plane mimic those of the Schwarzschild metric. It is shown that it is impossible to have circular orbits that pass through the ring, but some numerical results are presented which suggest that it is possible to have bound orbits that circle through the ring.

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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