Weyssenhoff fluid dynamics in general relativity using a 1+3 covariant approach

Details Weyssenhoff fluid dynamics in general relativity using a 1+3 covariant approach Weyssenhoff fluid dynamics in general relativity using a 1+3 covariant approach

2007-06-15

arxiv.org/abs/0706.2367v2

Class.Quant.Grav.24:6329-6348,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages

Scientific paper

10.1088/0264-9381/24/24/011

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.

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