论文标题

来自Kerr黑洞最内向稳定的圆形轨道的灵感:精确的解决方案和通用径向流动

Inspirals from the innermost stable circular orbit of Kerr black holes: Exact solutions and universal radial flow

论文作者

Mummery, Andrew, Balbus, Steven

论文摘要

我们提出了从Kerr黑洞的最内向稳定的圆形轨道(ISCO)向内螺旋的测试粒子轨道的精确溶液。我们的结果对于KERR公制的Angular Momentum $ a $参数的任何允许的值都是有效的。这些解决方案具有很大的身体利益。特别是,这些轨道的径向4速度都非常简单,并且径向坐标按其ISCO值缩放,形式为通用,否则完全独立于黑洞旋转。

We present exact solutions of test particle orbits spiralling inward from the innermost stable circular orbit (ISCO) of a Kerr black hole. Our results are valid for any allowed value of the angular momentum $a$-parameter of the Kerr metric. These solutions are of considerable physical interest. In particular, the radial 4-velocity of these orbits is both remarkably simple and, with the radial coordinate scaled by its ISCO value, universal in form, otherwise completely independent of the black hole spin.

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