Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-09-29
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Scientific paper
10.1016/j.physleta.2005.02.076
Acoustic torsion recently introduced in the literature (Garcia de Andrade,PRD(2004),7,64004) is extended to rotational incompressible viscous fluids represented by the generalised Navier-Stokes equation. The fluid background is compared with the Riemann-Cartan massless scalar wave equation, allowing for the generalization of Unruh acoustic metric in the form of acoustic torsion, expressed in terms of viscosity, velocity and vorticity of the fluid. In this work the background vorticity is nonvanishing but the perturbation of the flow is also rotational which avoids the problem of contamination of the irrotational perturbation by the background vorticity. The acoustic Lorentz invariance is shown to be broken due to the presence of acoustic torsion in strong analogy with the Riemann-Cartan gravitational case presented recently by Kostelecky (PRD 69,2004,105009). An example of analog gravity describing acoustic metric is given based on the teleparallel loop where the acoustic torsion is given by the Lense-Thirring rotation and the acoustic line element corresponds to the Lense-Thirring metric.
No associations
LandOfFree
Non-Riemannian vortex geometry of rotational viscous fluids and breaking of the acoustic Lorentz invariance does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Non-Riemannian vortex geometry of rotational viscous fluids and breaking of the acoustic Lorentz invariance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Riemannian vortex geometry of rotational viscous fluids and breaking of the acoustic Lorentz invariance will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-593276