The Homogeneous and isotropic Weyssenhoff fluid
Jan, 20069 pages
Part of Proceedings, Bogolyubov Kyiv Conference on Modern Problems of Theoretical and Mathematical Physics : Kyiv, Ukraine, September 15-18, 2009, 607-612
Published in:
- Ukr.J.Phys. 55 (2010) 5, 607-612
Contribution to:
e-Print:
- gr-qc/0601089 [gr-qc]
Report number:
- ASGBG-CIU-PREPRINT-22-01-2006B
View in:
Citations per year
Abstract: (arXiv)
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.Note:
- 9 pages, invited submission by UJP/ revised acknowledgements
- spin fluids
- Einstein-Cartan theory
- cosmology
References(16)
Figures(0)