Spinning Fluids: A Group Theoretical Approach

Abstract

We extend the Lagrangian formulation of relativistic non-abelian fluids in group theory language. We propose a Mathisson-Papapetrou equation for spinning fluids in terms of the reduction limit of de Sitter group. The equation we find correctly boils down to the one for non-spinning fluids. We study the application of our results for an FRW cosmological background for fluids with no vorticity and for dusts in the vicinity of a Kerr black hole. We also explore two alternative approaches based on a group theoretical formulation of particles dynamics.

v3. Version appeared in PRD. Significant modifications over v.2, a section on Godel universe added. small typos corrected

References in corpus (4)

• Nonlinear Fluid Dynamics from Gravity
• Relativistic fluid dynamics: physics for many different scales
• Fluids, Anomalies and the Chiral Magnetic Effect: A Group-theoretic Formulation
• Particles as Wilson lines of gravitational field

Cited by in corpus (3)

• Relativistic Particle and Relativistic Fluids: Magnetic Moment and Spin-Orbit Interactions
• The Isospin Asymmetry in Anomalous Fluid Dynamics
• Spin-density and Vorticity Contribution to the Cosmological Background