| Full text | |
| Author(s): |
Mosna, Ricardo A.
;
Pitelli, Joao Paulo M.
;
Richartz, Mauricio
Total Authors: 3
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW D; v. 94, n. 10, p. 6-pg., 2016-11-28. |
| Abstract | |
We introduce an analogue model for a nonglobally hyperbolic spacetime in terms of a two-dimensional fluid. This is done by considering the propagation of sound waves in a radial flow with constant velocity. We show that the equation of motion satisfied by sound waves is the wave equation on AdS(2) x S-1. Since this spacetime is not globally hyperbolic, the dynamics of the Klein-Gordon field is not well defined until boundary conditions at the spatial boundary of AdS(2) are prescribed. On the analogue model end, those extra boundary conditions provide an effective description of the point source at r = 0. For waves with circular symmetry, we relate the different physical evolutions to the phase difference between ingoing and outgoing scattered waves. We also show that the fluid configuration can be stable or unstable depending on the chosen boundary condition. (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 |