Riemannian Geometry of Irrotational Vortex Acoustics
Riemannian Geometry of Irrotational Vortex Acoustics
We consider acoustic propagation in an irrotational vortex, using the technical machinery of differential geometry to investigate the "acoustic geometry" that is probed by the sound waves. The acoustic space-time curvature of a constant circulation hydrodynamical vortex leads to deflection of phonons at appreciable distances from the vortex core. The …