Classification Results on Purely Magnetic Perfect Fluid Models

Physics

Scientific paper

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Scientific paper

A non-conformally flat perfect fluid model for which the electric part of the Weyl tensor w.r.t. the fluid 4-velocity field vanishes, is called a purely magnetic perfect fluid (PMpf). Recently we showed that algebraically special PMpf's are necessarily locally rotationally symmetric, and hence are all known. Secondly, the class of algebraically general, non-accelerating PMpf's was explored. The dust case is conjectured to be inconsistent because of a particular mathematical feature in the governing equations. The remaining irrotational subclass contains a physically plausible and essentially unique member.

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