论文标题

量子爱

Quantum Love

论文作者

Brustein, Ram, Sherf, Yotam

论文摘要

引力物体对外部潮汐场的响应在其爱情数字中编码,这对于古典黑洞(BHS)而言相同消失。在这里,我们使用标准时间独立的量子扰动理论表明,对于量子BH,通常,爱数是非趋势和负数的,并且它们的幅度取决于BH的量子频谱的最低词级。我们计算非旋转BHS的四极电量子爱数数量,并表明它最大程度地取决于量子BH的第一个激发水平。然后,我们将我们的结果与相同的爱情数量的超紧凑对象和经典紧凑型恒星的结果进行比较,并突出显示其不同的参数依赖性。最后,我们在将来的精确重力波观测中讨论了四极量子爱数的可检测性,并表明在有利的情况下,其幅度足够大,足以在两个中度旋转BHS的灵感阶段上发出的引力波上的可观察到的签名。

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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