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The missing asymptotic sector of rotating black-hole spectroscopy

机译:旋转黑洞光谱仪缺少的渐近扇形

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摘要

The rotation of a Kerr black hole splits its low-frequency spectrum in two, so it was so far unclear why the known highly-damped resonances show no splitting. We find the missing, split sector, with spin squasinormal modes approaching the total reflection frequencies ω(n ∈N) =-Ω?J-iκ(n -s), where Ω, κ and ?J are the horizon's angular velocity, surface gravity, and induced change in angular momentum. Surprisingly, the new sector is at least partly polar, and corresponds to reversible Jtransitions. Its fundamental branch converges quickly, possibly affecting gravitational wave signals. Asimple interpretation of the Carter constant of motion is proposed.
机译:克尔(Kerr)黑洞的旋转将其低频频谱一分为二,因此目前为止还不清楚为什么已知的高阻尼共振没有分裂。我们发现缺少的,分裂的扇区,自旋准正态模接近总反射频率ω(n∈N)=-Ω?J-iκ(n -s),其中Ω,κ和?J是地平线的角速度,表面引力,并引起角动量变化。令人惊讶的是,新扇区至少部分是极性的,并且对应于可逆的Jtransitions。它的基本分支迅速收敛,可能会影响重力波信号。提出了卡特运动常数的简单解释。

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