Analogue gravity and radial fluid flows: The case of AdS and its deformations

Abstract

An analogue model for the ${\text{AdS}}_2$ spacetime has been recently introduced by Mosna, Pitelli and Richartz [Phys. Rev. D 94, 104065 (2016)] by considering sound waves propagating on a fluid with an ill-defined velocity profile at its source/sink. The wave propagation is then uniquely defined only when one imposes an extra boundary condition at the source/sink (which corresponds to the spatial infinity of ${\text{AdS}}_2$). Here we show that, once this velocity profile is smoothed out at the source/sink, the need for extra boundary conditions disappears. This, in turn, corresponds to deformations of the ${\text{AdS}}_2$ spacetime near its spatial infinity. We also examine how this regularization of the velocity profile picks up a specific boundary condition for the idealized system, so that both models agree in the long wavelength limit.

6 pages, 3 figures. To appear in Phys Rev D

References in corpus (5)

• Measurement of stimulated Hawking emission in an analogue system
• Observation of superradiance in a vortex flow
• Analogue of cosmological particle creation in an ion trap
• Probing the thermal character of analogue Hawking radiation for shallow water waves?
• Analogue model for anti-de Sitter as a description of point sources in fluids

Cited by in corpus (2)

• Analogue simulations of quantum gravity with fluids
• Listening to Quantum Gravity?