Weyssenhoff fluid dynamics in general relativity using a 1+3 covariant approach
General Relativity and Quantum Cosmology
2008-11-26 v2 Astrophysics
Abstract
The Weyssenhoff fluid is a perfect fluid with spin where the spin of the matter fields is the source of torsion in an Einstein-Cartan framework. Obukhov and Korotky showed that this fluid can be described as an effective fluid with spin in general relativity. A dynamical analysis of such a fluid is performed in a gauge invariant manner using the 1+3 covariant approach. This yields the propagation and constraint equations for the set of dynamical variables. A verification of these equations is performed for the special case of irrotational flow with zero peculiar acceleration by evolving the constraints.
Cite
@article{arxiv.0706.2367,
title = {Weyssenhoff fluid dynamics in general relativity using a 1+3 covariant approach},
author = {S. D. Brechet and M. P. Hobson and A. N. Lasenby},
journal= {arXiv preprint arXiv:0706.2367},
year = {2008}
}