Spinning Fluids: A Group Theoretical Approach
High Energy Physics - Theory
2014-04-23 v3 Cosmology and Nongalactic Astrophysics
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.
Cite
@article{arxiv.1210.7731,
title = {Spinning Fluids: A Group Theoretical Approach},
author = {Dario Capasso and Debajyoti Sarkar},
journal= {arXiv preprint arXiv:1210.7731},
year = {2014}
}
Comments
v3. Version appeared in PRD. Significant modifications over v.2, a section on Godel universe added. small typos corrected