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arXiv 0704.2612astro-phgr-qc
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极端质量比引力波爆发中的相对论效应

Relativistic Effects in Extreme Mass Ratio Gravitational Wave Bursts

Nicolas Yunes, Carlos F. Sopuerta, Louis J. Rubbo, Kelly Holley-Bockelmann

摘要:

极端质量比爆发(EMRB)已被提议作为未来星载引力波探测器(例如激光干涉仪空间天线(LISA))的可能来源。这些事件的特征是致密天体围绕中心大质量黑洞的长周期、近径向轨道。在这类事件中发出的引力辐射由一个短的爆发组成,对应于近地点的通过,随后是一个较长的安静的间隔。在本文中,我们调查的影响,包括相对论修正的紧凑对象的轨迹的描述,通过测地处理,以及包括高阶多极校正的波形计算。相对论修正的重要程度取决于EMRB的轨道参数。我们发现相对论性EMRB(v_{max} }/c > 0.25)并不罕见,实际上在我们的天体物理模型中约占事件的一半。相对论修正倾向于显著改变相对于牛顿描述的波形振幅和相位,尽管这种失相中的一些可以通过参数误差来模仿。几个爆发的失相不仅对引力波探测,而且对参数估计都特别重要,因为它与大质量黑洞的自旋高度相关。因此,我们假设,如果一个相对论EMRB被检测到,这种失相可能被用来探测的相对论性质的大质量黑洞,并获得有关其自旋的信息。

英文摘要:

Extreme mass ratio bursts (EMRBs) have been proposed as a possible source for future space-borne gravitational wave detectors, such as the Laser Interferometer Space Antenna (LISA). These events are characterized by long-period, nearly-radial orbits of compact objects around a central massive black hole. The gravitational radiation emitted during such events consists of a short burst, corresponding to periapse passage, followed by a longer, silent interval. In this paper we investigate the impact of including relativistic corrections to the description of the compact object's trajectory via a geodesic treatment, as well as including higher-order multipole corrections in the waveform calculation. The degree to which the relativistic corrections are important depends on the EMRB's orbital parameters. We find that relativistic EMRBs (v_{max}}/c > 0.25) are not rare and actually account for approximately half of the events in our astrophysical model. The relativistic corrections tend to significantly change the waveform amplitude and phase relative to a Newtonian description, although some of this dephasing could be mimicked by parameter errors. The dephasing over several bursts could be of particular importance not only to gravitational wave detection, but also to parameter estimation, since it is highly correlated to the spin of the massive black hole. Consequently, we postulate that if a relativistic EMRB is detected, such dephasing might be used to probe the relativistic character of the massive black hole and obtain information about its spin.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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