The homogeneous and isotropic Weyssenhoff fluid

Details The homogeneous and isotropic Weyssenhoff fluid The homogeneous and isotropic Weyssenhoff fluid

2006-01-23

arxiv.org/abs/gr-qc/0601089v2

Ukr.J.Phys. 55 (2010) 607-612

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, invited submission by UJP; revised acknowledgements

Scientific paper

We consider a Weyssenhoff fluid assuming that the spacetime is homogeneous and isotropic, therefore being relevant for cosmological considerations of gravity theories with torsion. In this paper, it is explicitely shown that the Weyssenhoff fluids obeying the Frenkel condition or the Papapetrou-Corinaldesi condition are incompatible with the cosmological principle, which restricts the torsion tensor to have only a vector and an axial vector component. Moreover it turns out that the Weyssenhoff fluid obeying the Tulczyjew condition is also incompatible with the cosmological principle. Based on this result we propose to reconsider a number of previous works that analysed cosmological solutions of Einstein-Cartan theory, since their spin fluids usually did not obey the cosmological principle.

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