Spin Fluids in Homogeneous and Isotropic Space-times

We consider a Weyssenhoff fluid assuming that the space-time is homogeneous and isotropic, therefore being relevant for cosmological considerations of gravity theories with torsion. It is explicitly shown that theWeyssenhoff fluids obeying the Frenkel condition or the Papapetrou–Corinaldesi conditio...

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Datum:2010
Hauptverfasser: Böhmer, C.G., Bronowski, P.
Format: Artikel
Sprache:English
Veröffentlicht: Відділення фізики і астрономії НАН України 2010
Schriftenreihe:Український фізичний журнал
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Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/56205
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Spin Fluids in Homogeneous and Isotropic Space-times / C.G. Böhmer, P. Bronowski // Український фізичний журнал. — 2010. — Т. 55, № 5. — С. 607-612. — Бібліогр.: 17 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung:We consider a Weyssenhoff fluid assuming that the space-time is homogeneous and isotropic, therefore being relevant for cosmological considerations of gravity theories with torsion. It is explicitly shown that theWeyssenhoff fluids obeying the Frenkel condition or the Papapetrou–Corinaldesi condition are incompatible with the cosmological principle which restricts the torsion tensor to have only the vector and axial vector components. Moreover, it turns out that the Weyssenhoff fluid obeying the Tulczyjew condition is also incompatible with the cosmological principle. This condition has not been analyzed so far in this context. Based on this result, we propose to reconsider a number of previous works that analyzed cosmological solutions of the Einstein–Cartan theory, since their spin fluids did not obey usually the cosmological principle.