论文标题
洛伦兹的准模式违反了黑洞类似物
Quasinormal modes in Lorentz violating black hole analogues
论文作者
论文摘要
黑洞的模拟模型通常具有具有分散关系的集体激发,从而打破了高能量时有效的洛伦兹对称性。我们研究了这种洛伦兹对系统的准模式(QNM)的后果,即能量耗散模式。该模型涉及在排水涡流周围的低频毛细血管刺激波(可以在亚量和超亮修饰之间调节其分散关系),该涡流模拟了旋转的黑洞时空。为了进行跨膜/级别的修饰,可以大大降低/增加共旋转模式的频率和衰减速率,而反向旋转模式几乎没有影响。高光修饰的另一个后果是,在临界旋转的上方没有旋转QNM,并且在临界旋转以下没有反旋转的QNM,以实现足够强的洛伦兹违规行为。
Analogue models of black holes typically have collective excitations with a dispersion relation that breaks the effective Lorentz symmetry at high energy. We investigate the consequences of such Lorentz violations on the quasinormal modes (QNMs) of the system, that is, the modes of energy dissipation. The model involves low frequency capillary-gravity waves (whose dispersion relation can be adjusted between sub- and superluminal modifications) around a draining vortex, which mimics a rotating black hole spacetime. For a subluminal/superluminal modification, the frequency and decay rate of co-rotating modes can be reduced/increased substantially, whilst counter-rotating modes are barely affected. A further consequence of the superluminal modification is that there are no corotating QNMs above a critical rotation and no counter-rotating ones below a critical rotation for strong enough Lorentz violations.