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arXiv 1902.01723gr-qcastro-ph.HE
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用引力波探测极端质量比螺旋中中心天体的性质

Probing the nature of central objects in extreme-mass-ratio inspirals with gravitational waves

Sayak Datta, Sukanta Bose

摘要:

我们扩展了Ryan的工作,利用系统发射的引力波(GW)来绘制极端质量比螺旋(EMRI)中心物体的时空,这可能会在未来的任务中被观察到,如LISA。中心物体是否是一个黑洞,可以通过观察这些波的相位来探测,这些波携带着关于它的质量和自旋多极矩的信息。我们超越的相位项发现瑞安,这是在四极近似的点粒子极限,并推导出条款的第五后牛顿(PN)的顺序。由于水平吸收引起的校正(即,如果中心物体是一个黑洞),潮汐加热按这个顺序出现,分别在2.5PN和5PN,我们把它们包括在这里。修正由于运动的中心对象,这是解决只有部分由瑞安,以及包括在内。此外,我们还得到了高阶辐射多极矩的贡献。对于潮汐相互作用,我们的结果是在牛顿潮汐场的近似下导出的。因此,在潮汐场的势中,也只包括了中心物体质量的贡献。利用这些结果,我们认为,它可能是可能的LISA探测,如果在EMRI中心对象有一个地平线或没有。我们还讨论了如何我们的结果可以用来测试无毛定理从这样的系统的inspiral阶段。

英文摘要:

We extend the work of Ryan on mapping the spacetime of the central object of an extreme mass-ratio inspiral (EMRI) by using gravitational waves (GWs) emitted by the system, which may be observed in future missions such as LISA. Whether the central object is a black hole or not can be probed by observing the phasing of these waves, which carry information about its mass and spin multipole moments. We go beyond the phase terms found by Ryan, which were obtained in the quadrupolar approximation of the point-particle limit, and derive terms up to the fifth post-Newtonian (PN) order. Since corrections due to horizon absorption (i.e., if the central object is a black hole) and tidal heating appear by that order, at 2.5PN and 5PN, respectively, we include them here. Corrections due to the motion of the central object, which was addressed only partially by Ryan, are included as well. Additionally, we obtain the contribution of the higher order radiative multipole moments. For the tidal interaction, our results have been derived in the approximation of the Newtonian tidal field. Therefore, in the potential for tidal field only the contribution due to the mass of the central object has been included as well. Using these results we argue that it might be possible for LISA to probe if the central object in an EMRI has a horizon or not. We also discuss how our results can be used to test the No-hair theorem from the inspiral phase of such systems.

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