M. C. B. AbdallaL. Holender, M. A. Santos, I. V. Vancea
We study the dynamics of the noncommutative fluid in the Snyder space from the perturbative point of view. To this end, the relevant quantities are treated as series in powers of the noncommutative parameter. At the Planck scale, the relevant terms are of first order and the 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 linear for the third potential. The energy-momentum tensor of these solutions is calculated.
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http://arxiv.org/abs/1211.3001
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