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arXiv 2008.02738gr-qchep-th
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量子爱

Quantum Love

Ram Brustein, Yotam Sherf

摘要:

引力物体对外部潮汐场的响应被编码在它的洛夫数中,对于经典黑洞(BH),洛夫数同样为零。在这里,我们表明,使用标准的时间无关的量子微扰理论,对于一个量子BH,一般来说,爱数是非零的和负的,并且它们的大小取决于最低的躺水平的量子光谱的BH。我们计算了非旋转黑洞的四极电量子Love数,并表明它最强烈地依赖于量子黑洞的第一激发能级。然后,我们将我们的结果与相同的奇异超致密天体的洛夫数和经典致密星的洛夫数进行比较,并强调它们不同的参数依赖性。最后,我们讨论了四极量子勒夫数在未来精密引力波观测中的可探测性,并表明,在有利的情况下,它的大小足以在两个适度旋转的黑洞的螺旋相位期间发射的引力波上留下可观测的签名。

英文摘要:

The response of a gravitating object to an external tidal field is encoded in its Love numbers, which identically vanish for classical blackholes (BHs). Here we show, using standard time-independent quantum perturbation theory, that for a quantum BH, generically, the Love numbers are nonvanishing and negative, and that their magnitude depends on the lowest lying levels of the quantum spectrum of the BH. We calculate the quadrupolar electric quantum Love number of nonrotating BHs and show that it depends most strongly on the first excited level of the quantum BH. We then compare our results to the same Love number of exotic ultra compact objects and to that of classical compact stars and highlight their different parametric dependence. Finally, we discuss the detectability of the quadrupolar quantum Love number in future precision gravitational-wave observations and show that, under favourable circumstances, its magnitude is large enough to imprint an observable signature on the gravitational waves emitted during the inspiral phase of two moderately spinning BHs.

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