Shear-free perfect fluids with a solenoidal magnetic curvature

Carminati, J., Karimian, H. R., van den Bergh, N. and Vu, K. T. 2009, Shear-free perfect fluids with a solenoidal magnetic curvature, Classical and quantum gravity, vol. 26, no. 19, pp. 1-14, doi: 10.1088/0264-9381/26/19/195002.

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Title Shear-free perfect fluids with a solenoidal magnetic curvature
Author(s) Carminati, J.
Karimian, H. R.
van den Bergh, N.
Vu, K. T.
Journal name Classical and quantum gravity
Volume number 26
Issue number 19
Start page 1
End page 14
Total pages 14
Publisher Institute of Physics Publishing
Place of publication London, England
Publication date 2009
ISSN 0264-9381
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 ω is not a function of the matter density μ 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.
Language eng
DOI 10.1088/0264-9381/26/19/195002
Field of Research 010504 Mathematical Aspects of General Relativity
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2009, IOP Publishing Limited.
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