Observables for bound orbital motion in axially symmetric space-times
Observables for bound orbital motion in axially symmetric space-times
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DOI：
10.1103/physrevd.85.044049
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发表时间：
2011-07
影响因子：
5
通讯作者：
E. Hackmann;C. Lammerzahl
中科院分区：
文献类型：
--
作者：
E. Hackmann;C. Lammerzahl
分析了Pleba\ifmmode \acute{n}\else\'{n}\fi{}ski和Demia\ifmmode\acute{n}\else\'{n}\fi{}ski给出的一般轴对称时空中束缚轨道运动的近星点位移和Lense-Thirring效应.定义了轨道锥度的测度，给出了观测量的超椭圆积分和Lauricella ${F}_{D}$函数的解析表达式。对于这些解析表达式的解释，我们执行后史瓦西和后牛顿展开这些量。这清楚地表明了不同的时空参数对所考虑的可观测量的影响，并允许人们描述克尔、陶布-努特、史瓦西-德西特或其他时空。
The periastron shift and the Lense-Thirring effect of bound orbital motion in a general axially symmetric space-time given by Pleba\ifmmode \acute{n}\else \'{n}\fi{}ski and Demia\ifmmode \acute{n}\else \'{n}\fi{}ski are analyzed. We also define a measure for the conicity of the orbit and give analytic expressions for the observables in terms of hyperelliptic integrals and Lauricella's ${F}_{D}$ function. For an interpretation of these analytical expressions, we perform a post-Schwarzschild and a post-Newton expansion of these quantities. This clearly shows the influence of the different space-time parameters on the considered observables and allows one to characterize Kerr, Taub-NUT, Schwarzschild--de Sitter, or other space-times.