| Full text | |
| Author(s): |
Aruquipa, David Q.
;
Mosna, Ricardo A.
;
Pitelli, Joao Paulo M.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW D; v. 97, n. 10, p. 7-pg., 2018-05-30. |
| Abstract | |
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. (AU) | |
| FAPESP's process: | 13/09357-9 - Physics and geometry of spacetime |
| Grantee: | Alberto Vazquez Saa |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 16/07057-6 - Applications of the theory of self-adjoint extensions in Quantum Gravity |
| Grantee: | João Paulo Pitelli Manoel |
| Support Opportunities: | Regular Research Grants |