论文标题
进一步澄清准模式/圆形空测量通讯
Further clarification on quasinormal modes/circular null geodesics correspondence
论文作者
论文摘要
最初声称任何固定，球形对称和渐近平面或de Sitter黑洞的固定，球形对称性和渐近平面或圆形无效测量参数的二元性二元性最初被要求用于重力和测试场扰动。根据这种双重性，$ \ ell \ gg n $准标准模式（分别为$ \ ell $和$ n $是多极和泛音数字）的真实和虚构部分分别是循环null null GeoDesics的频率和不稳定时间表的倍数。后来证明，二元性仅适用于测试场，并且对于重力和其他非最终耦合场可能会被打破。在这里，我们更远地指定了二元性，并证明即使保证二元性，它也可能无法代表$ \ ell \ gg n $模式的全部频谱，因此缺少标准WKB方法无法找到的准频率。特别是，我们表明，这总是发生在任意渐近de的黑洞的情况下，并进一步指出，通常，这可能与准频谱对边界附近的几何变形的敏感性有关。
The well-known duality between quasinormal modes of any stationary, spherically symmetric and asymptotically flat or de Sitter black hole and parameters of the circular null geodesic was initially claimed for gravitational and test field perturbations. According to this duality the real and imaginary parts of the $\ell \gg n$ quasinormal mode (where $\ell$ and $n$ are multipole and overtone numbers respectively) are multiples of the frequency and instability timescale of the circular null geodesics respectively. Later it was shown that the duality is guaranteed only for test fields and may be broken for gravitational and other non-minimally coupled fields. Here, we farther specify the duality and prove that even when the duality is guaranteed it may not represent the full spectrum of the $\ell \gg n$ modes, missing the quasinormal frequencies which cannot be found by the standard WKB method. In particular we show that this always happens for an arbitrary asymptotically de Sitter black holes and further argue that, in general, this might be related to sensitivity of the quasinormal spectrum to geometry deformations near the boundaries.
