Robin boundary conditions in acoustic BTZ black holes
arXiv:2303.05612 · doi:10.1103/PhysRevD.107.064018
Abstract
We introduce an analog model for the conformally coupled scalar field on the BTZ black hole. The model is based on the propagation of acoustic waves in a Laval nozzle. Since the BTZ black hole is not a globally hyperbolic spacetime, the dynamics of the scalar field is not well defined until extra boundary conditions are prescribed at its spatial infinity. We show that quasinormal modes (QNMs) satisfying Dirichlet, Neumann, and Robin boundary conditions in the BTZ black hole can be interpreted in terms of ordinary QNMs defined with respect to an appropriately extended nozzle. We also discuss the stability of our model with respect to small perturbations.
12 pages, 6 figures
References in corpus (9)
- Measurement of stimulated Hawking emission in an analogue system
- Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
- Hadamard states for a scalar field in anti-de Sitter spacetime with arbitrary boundary conditions
- Superradiance in the BTZ black hole with Robin boundary conditions
- Quasinormal ringing of acoustic black holes in Laval nozzles: Numerical simulations
- Analogue model for anti-de Sitter as a description of point sources in fluids
- Perturbations of Schwarzschild black holes in laboratories
- Scalar field dynamics in a BTZ background with generic boundary conditions
- Analog model for the BTZ black hole