Irrotational perfect fluid spacetimes with a purely magnetic Weyl tensor

Physics

Scientific paper

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Scientific paper

We consider the Taub metric and show there exist spacelike hypersurfaces where the electric part of the Weyl tensor vanishes while the magnetic part remains non-zero. One such hypersurface is re-embedded in a Taub-like spacetime. A suitable choice of the functions gives a two-parameter family of irrotational perfect fluid spacetimes. A hypersurface orthogonal observer in this spacetime measures the Weyl tensor to be purely magnetic.

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