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Shear-free perfect fluids with divergence free magnetic Weyl curvature

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart ,
N. Van den Bergh  and
H. Reza Karimian
N. Van den Bergh
Affiliation:
Department of Mathematical Analysis, University of Ghent, Galglaan 2, Ghent, Belgium
H. Reza Karimian
Affiliation:
Department of Mathematical Analysis, University of Ghent, Galglaan 2, Ghent, Belgium
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Abstract

We discuss shear-free perfect fluids which obey a barotropic equation of state and for which the magnetic part of the Weyl tensor with respect to the fluid congruence is divergence-free. We show that for a large class of equations of state these fluids are either non-expanding or non-rotating and we present a classification of the resulting non-expanding solutions.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles, ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 241 - 244
Copyright
© EAS, EDP Sciences, 2008

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References

Barnes, A., 1973, Gen. Rel. Grav., 4, 105 CrossRef
Collins, C.B., 1984, J. Math. Phys., 25, 995 CrossRef
Collins, C.B., & White, A.J., 1984, J. Math. Phys., 25, 1460 CrossRef
Krasinski, A., 1974, Acta Phys. Pol., B5, 411
Maartens, R., & Bassett, B.A., 1998, Class. Quant. Grav., 15, 705 CrossRef
MacCallum, M.A.H., 1971, Cosmological Models from a Geometric Point of View (Cargèse) Vol. 6 (New York: Gordon and Breach), 61
Van den Bergh, N., Carminati, J., & Karimian, H.R., 2007, Class. Quant. Grav., 24, 3735 CrossRef