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

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.

20 pages

References in corpus (5)

• Linearisation instability of gravity waves?
• Microwave background anisotropies from gravitational waves: the 1+3 covariant approach
• On primordial cosmological density fluctuations in the Einstein-Cartan gravity and COBE data
• Prospects of Non-Riemannian Cosmology
• Comment on the paper "Weyssenhoff fluid dynamics in a 1+3 covariant approach" (arXiv:0706.2367)

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