Rotating analogue black holes: Quasinormal modes and tails, superresonance, and sonic bombs and plants in the draining bathtub acoustic hole

摘要

The analogy between sound wave propagation and light waves led to the studyof acoustic holes, the acoustic analogues of black holes. Many black holefeatures have their counterparts in acoustic holes. The Kerr metric, therotating metric for black holes in general relativity, has as analogue thedraining bathtub metric, a metric for a rotating acoustic hole. Here we reporton the progress that has been made in the understanding of features, such asquasinormal modes and tails, superresonance, and instabilities when the hole issurrounded by a reflected mirror, in the draining bathtub metric. Given thenthe right settings one can build up from these instabilities an apparatus thatstores energy in the form of amplified sound waves. This can be put to wickedpurposes as in a bomb, or to good profit as in a sonic plant.