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arXiv 1406.4282gr-qcastro-ph.SR
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Schwarzschild时空中的弹道轨道和来自EMR双星合并的引力波

Ballistic orbits in Schwarzschild space-time and gravitational waves from EMR binary mergers

G. d'Ambrosi, J. W. van Holten

摘要:

我们描述了史瓦西时空中一类特殊的弹道测地线,延伸到观察者时间的无限过去和未来的视界,其特征是它们具有1-1对应、能量和角动量完全退化的性质。具有稳定的圆形轨道。我们推导了点粒子在这样的弹道轨道上运动的Regge-Wheeler方程和Zerilli-Moncrief方程中源项的解析表达式,并计算了极端质量比黑洞双星合并过程中的引力波.这样就得到了紧双星倾伏相的测地线描述。

英文摘要:

We describe a special class of ballistic geodesics in Schwarzschild space-time, extending to the horizon in the infinite past and future of observer time, which are characterized by the property that they are in 1-1 correspondence, and completely degenerate in energy and angular momentum, with stable circular orbits. We derive analytic expressions for the source terms in the Regge-Wheeler and Zerilli-Moncrief equations for a point-particle moving on such a ballistic orbit, and compute the gravitational waves emitted during the infall in an Extreme Mass Ratio black-hole binary coalescence. In this way a geodesic description for the plunge phase of compact binaries is obtained.

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