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arXiv 1608.08951gr-qcastro-ph.HE
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极端质量比吸气中瞬态共振的重要性

Importance of transient resonances in extreme-mass-ratio inspirals

Christopher P. L. Berry, Robert H. Cole, Priscilla Cañizares, Jonathan R. Gair

摘要:

中子星或恒星质量黑洞等恒星质量致密物体螺旋进入超大质量黑洞,通过发射引力波提供了有关强引力场机制的丰富信息。为了检测和分析这些信号,需要精确的波形模板,其中包括紧凑物体的重力自作用力的影响。为了计算效率,通常使用绝热模板。这些精确地再现轨道平均轨迹所产生的第一阶自作用力,但忽略其他影响,如瞬态共振,径向和极向基频成为相称的。在这样的共振过程中,引力波的通量会减弱或增强,导致致密物体的轨迹和波形相位发生变化。我们提出了一个演化方案,研究瞬态共振的影响,并将其应用到一个天体物理学的动机人口。我们发现,很大比例的系统遇到低阶共振的后期阶段的inspiral的,然而,所产生的影响信号噪声恢复是小的,作为一个结果的inspirals的低偏心率。忽略瞬态共振的影响会导致4%的可检测信号损失。

英文摘要:

The inspiral of stellar-mass compact objects, like neutron stars or stellar-mass black holes, into supermassive black holes provides a wealth of information about the strong gravitational-field regime via the emission of gravitational waves. In order to detect and analyse these signals, accurate waveform templates which include the effects of the compact object's gravitational self-force are required. For computational efficiency, adiabatic templates are often used. These accurately reproduce orbit-averaged trajectories arising from the first-order self-force, but neglect other effects, such as transient resonances, where the radial and poloidal fundamental frequencies become commensurate. During such resonances the flux of gravitational waves can be diminished or enhanced, leading to a shift in the compact object's trajectory and the phase of the waveform. We present an evolution scheme for studying the effects of transient resonances and apply this to an astrophysically motivated population. We find that a large proportion of systems encounter a low-order resonance in the later stages of inspiral; however, the resulting effect on signal-to-noise recovery is small as a consequence of the low eccentricity of the inspirals. Neglecting the effects of transient resonances leads to a loss of 4% of detectable signals.

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