论文标题
Kerr Spacetime上大型矢量场的准模式
Quasinormal modes of massive vector fields on the Kerr spacetime
论文作者
论文摘要
我们研究旋转黑洞时空上Proca场的准模式频率的频谱。首先，我们回顾了场质量的引入如何修饰标量场中的频谱，从而导致逃生模式和Quasiresonance。接下来，我们检查了Proca场的三个物理极化及其与无质量极限的电磁场模式的关系。利用变量的分离，我们从适当的ANSATZ获得了五项复发关系。使用高斯消除和修改后的凸算法，并从持续分数的根部计算出准频率。我们通过计算与准模式互补的准状态频率来验证我们的方法，并且可以使用相同的方法计算。我们提供了一系列黑洞旋转和田间质量的所有三个极化的低凹面覆盖物的选择。
We study the spectrum of quasinormal mode frequencies for a Proca field on a rotating black hole spacetime. First, we review how the introduction of field mass modifies the spectrum in the scalar-field case, leading to evanescent modes and to quasiresonance. Next, we examine the three physical polarizations of the Proca field and their relation to the electromagnetic field modes in the massless limit. Exploiting a separation of variables, we obtain a five-term recurrence relation from an appropriate ansatz for the radial function. Gaussian elimination and the modified Lentz algorithm are applied, and the quasinormal frequencies are computed from the roots of a continued fraction. We validate our method by calculating quasibound state frequencies, which are complementary to quasinormal modes, and which can be calculated using the same method. We present a selection of results for the low-lying overtones of all three polarizations, across a range of black hole spins and field masses.
