Plane waves in noncommutative fluids
High Energy Physics - Theory
2016-11-26 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Fluid Dynamics
Quantum Physics
Abstract
We study the dynamics of the noncommutative fuid in the Snyder space perturbatively at the first order in powers of the noncommutative parameter. The linearized noncommutative fluid dynamics is described by a system of coupled linear partial differential equations in which the variables are the fluid density and the fluid potentials. We show that these equations admit a set of solutions that are monocromatic plane waves for the fluid density and two of the potentials and a linear function for the third potential. The energy-momentum tensor of the plane waves is calculated.
Cite
@article{arxiv.1211.3001,
title = {Plane waves in noncommutative fluids},
author = {M. C. B. Abdalla and L. Holender and M. A. Santos and I. V. Vancea},
journal= {arXiv preprint arXiv:1211.3001},
year = {2016}
}
Comments
11 pages. Version published as a Letter