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arXiv · 1210.7731

Spinning Fluids: A Group Theoretical Approach

Dario Capasso·Debajyoti Sarkar
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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.

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Dario Capasso, Debajyoti Sarkar. 2014-04-07. Spinning Fluids: A Group Theoretical Approach. https://doi.org/10.1103/physrevd.89.084012

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