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Spinning fluid cosmologies in Einstein-Cartan theory

Larry L Smalley-+ and J P Krisch++

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We consider self-consistent spinning fluid cosmologies in both general relativity in Riemannian spacetimes and Einstein-Cartan theory in Riemann-Cartan spacetimes. First we extend slightly the cosmological calculation of Martin et al for general relativistic self-consistent spinning fluids. The existence of spin-squared terms in the field equations in the Einstein-Cartan theory shows, however, that an expanded class of meaningful cosmologies is possible. Under certain assumptions on the arbitrariness of the cosmological shear and expansion the results for the ad hoc Weyssenhoff spin fluid in a spherically symmetric spacetime can be reproduced.


PACS

98.80.-k Cosmology

04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields

04.20.-q Classical general relativity

MSC

83F05 Cosmology

83Cxx General relativity

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 9 (September 1994)

Received 6 June 1994



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