Simulations of Black Hole Oscillations

黑洞是一个有着巨大研究兴趣的对象，因为在我们的描述中，广义相对论和量子理论都扮演着重要的角色。黑洞物理学的承诺是作为一种手段，以提高我们对这两个理论如何走到一起的理解。天体物理学上的黑洞无法通过实验观测到，这一事实推动了对所谓的“模拟”黑洞的研究，这种黑洞可以在实验室中构建。目前的研究计划将涉及对光纤中的（1+1）维模拟黑洞的理论研究。这种设置产生模拟黑（和白色）孔通过创建光纤孤子，提供亚光速（和超光速）区域。先前的工作已经考虑了这种新的实验装置与模拟霍金辐射的联系，这与纤维中模拟事件视界的存在有关。更具体地说，本研究提案的目标是分析上述装置，以探索模拟黑洞振荡现象。如果一个黑洞或类似黑洞受到扰动，那么它会通过特征波的发射而松弛，这些特征波的频谱与初始扰动无关。这些振荡被认为是黑洞的“指纹”。人们认为，通过模拟振荡的方式，对这些类似物在量子体系中的行为进行详细的理论研究，可能有助于发展有关天体物理黑洞量子行为的想法。

Black holes are objects of immense research interest because they occupy a regime in which both general relativity and quantum theory play an essential role in our descriptions. The promise of black hole physics is then as a means to improve our understanding of how these two theories come together. The fact that astrophysical black holes are inaccessible to experiment has thus driven the study of so-called 'analogue' black holes, which may be constructed in the laboratory.The present research proposal will involve the theoretical investigation of a (1+1)-dimensional analogue black hole in an optical fibre. This setup produces analogue black (and white) holes by creating fibre-optical solitons which provide subluminal (and superluminal) regions. Prior work has already considered this novel experimental setup in its connection with analogue Hawking radiation, which is associated to the existence of analogue event horizons in the fibre.More specifically, the objective of the present research proposal would be to analyze the aforementioned setup in order to explore the phenomenon of analogue black hole oscillations. If a black holes or an analogue black hole is perturbed, then it is found to relax by the emission of characteristic waves, whose frequency spectrum is independent of the initial perturbation. These oscillations have been said to provide a "finger-print" of the black hole. It is thought that a detailed theoretical investigation into the behaviour of these analogues in the quantum regime, by way of analogue oscillations, may assist in the development of ideas concerning the quantum behaviour of astrophysical black holes.