论文标题
加速黑洞:准模式和较晚的尾巴
Accelerating black holes: quasinormal modes and late-time tails
论文作者
论文摘要
相对于我们自己的参考框架,二进制中发现的黑洞以非常高的速度移动,并且由于引力辐射的排放而可以加速。在这里,我们研究了$ c- $ metric所描述的黑洞时线性标扰的数值稳定性和延迟行为。我们确定了与光子表面相关的准模式的家族,以及与加速黑洞时空的增强参数相关的纯粹虚构模式的全新家族。当加速的黑洞被充电时,我们发现了第三个模式的家族,该模式占主导地位,该模式在极端性附近。我们的频率和时间域分析表明,这种空间在标量波动下是稳定的,而较晚的行为遵循指数衰减定律,以准模式为主。这个结果与普遍的信念相反,即这种扰动对于没有宇宙常数的黑洞总是具有幂律截止。从这个意义上讲,我们的结果表明,黑洞背景的渐近结构并不总是决定辐射场在后期的行为。
Black holes found in binaries move at very high velocities relative to our own reference frame and can accelerate due to the emission of gravitational radiation. Here, we investigate the numerical stability and late-time behavior of linear scalar perturbations in accelerating black holes described by the $C-$metric. We identify a family of quasinormal modes associated with the photon surface and a brand new family of purely imaginary modes associated with the boost parameter of the accelerating black hole spacetime. When the accelerating black hole is charged, we find a third family of modes which dominates the ringdown waveform near extremality. Our frequency and time domain analysis indicate that such spacetimes are stable under scalar fluctuations, while the late-time behavior follows an exponential decay law, dominated by quasinormal modes. This result is in contrast with the common belief that such perturbations, for black holes without a cosmological constant, always have a power-law cutoff. In this sense, our results suggest that the asymptotic structure of black hole backgrounds does not always dictate how radiative fields behave at late times.