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

作者:Aruquipa David Q*; Mosna Ricardo A; Pitelli Joao Paulo M
来源:PHYSICAL REVIEW D, 2018, 97(10): 104056.
DOI:10.1103/PhysRevD.97.104056

摘要

An analogue model for the AdS(2) spacetime has been recently introduced by Mosna et al. [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 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 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.

  • 出版日期2018-5-30

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