Shear-free perfect fluids with a solenoidal magnetic curvature

We investigate shear-free perfect fluid solutions of the Einstein field equations where the fluid pressure satisfies a barotropic equation of state and the spatial divergence of the magnetic part of the Weyl tensor is zero. We prove, with the exception of certain quite restricted special cases withi...

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Bibliographic Details
Published in:Classical and quantum gravity 2009-10, Vol.26 (19), p.195002-195002 (14)
Main Authors: Carminati, J, Karimian, H R, Van den Bergh, N, Vu, K T
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Physics
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Summary:We investigate shear-free perfect fluid solutions of the Einstein field equations where the fluid pressure satisfies a barotropic equation of state and the spatial divergence of the magnetic part of the Weyl tensor is zero. We prove, with the exception of certain quite restricted special cases within the class of solutions in which there exists a Killing vector aligned with the vorticity and for which the magnitude of the vorticity Delta *w is not a function of the matter density Delta *m alone, that such a fluid is either non-rotating or non-expanding. In the restricted cases the equation of state must satisfy an over-determined differential system.
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/26/19/195002