Noncommutative fluid dynamics in the Snyder space-time

Abstract

In this paper, we construct for the first time the non-commutative fluid with the deformed Poincare invariance. To this end, the realization formalism of the noncommutative spaces is employed and the results are particularized to the Snyder space. The non-commutative fluid generalizes the fluid model in the action functional formulation to the noncommutative space. The fluid equations of motion and the conserved energy-momentum tensor are obtained.

12 pages. Version published by Phys. Rev. D

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Cited by in corpus (10)

• K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
• Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
• Noncommutative Geometry and Fluid Dynamics
• Hydrodynamics on non-commutative space --A step toward hydrodynamics of granular materials--
• Noncommutative fluid and Growing Modes of Inhomogeneity in (Newtonian) Cosmology
• Non-Relativistic Anti-Snyder Model and Some Applications
• Back Reaction Inhomogeneities in Cosmological Parameter Evolution via Noncommutative Fluid
• Plane waves in noncommutative fluids
• Galilei Group with multiple central extension, vorticity and entropy generation: "Exotic" fluid in 3+1-dimensions
• Noncommutative effects on the fluid dynamics and modifications of the Freidmann equation