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arXiv 1307.4698gr-qc
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极值和非极值Kerr-Taub-NUT时空中的最内稳定圆轨道

Inner-most stable circular orbits in extremal and non-extremal Kerr-Taub-NUT spacetimes

Chandrachur Chakraborty

备注：
15 pages, 3 figures, modified version, accepted for publication in Eur. Phys. J. C
发表信息：
Eur. Phys. J. C (2014) 74:2759
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摘要：

我们研究因果测地线在赤道平面的极端克尔-陶布-NUT时空，专注于最内稳定圆轨道（ISCO），并比较其行为与现有的结果ISCO在极端克尔时空。直接ISCO的半径、开普勒频率和自转速度的计算表明，在极端情况下，ISCO与视界重合。我们还研究了强{ \it non}-极值极限中的测地线，即，在克尔参数消失的极限（即，对于Taub-NUT和无质量的Taub-NUT时空作为这个时空的特殊情况）。结果表明，在Taub-NUT时空中，直接ISCO的半径随着NUT荷的增加而增加。作为推论，证明了在无质量NUT时空中，类时测地线不存在稳定的圆轨道。

英文摘要：

We study causal geodesics in the equatorial plane of the extremal Kerr-Taub-NUT spacetime, focusing on the Innermost Stable Circular Orbit (ISCO),and compare its behaviour with extant results for the ISCO in the extremal Kerr spacetime. Calculation of the radii of the direct ISCO, its Kepler frequency, and rotational velocity show that the ISCO coincides with the horizon in the exactly extremal situation. We also study geodesics in the strong {\it non}-extremal limit, i.e., in the limit of vanishing Kerr parameter (i.e., for Taub-NUT and massless Taub-NUT spacetimes as special cases of this spacetime). It is shown that the radius of the direct ISCO increases with NUT charge in Taub-NUT spacetime. As a corollary, it is shown that there is no stable circular orbit in massless NUT spacetimes for timelike geodesics.

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