Irrotational dust with a purely magnetic Weyl tensor

Details Irrotational dust with a purely magnetic Weyl tensor Irrotational dust with a purely magnetic Weyl tensor

Oct 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995gregr..27.1111l&link_type=abstract

General Relativity and Gravitation, Volume 27, Issue 10, pp.1111-1128

Physics

6

Scientific paper

Considering irrotational pressure free matter, conditions are obtained under which an orthonormal tetrad simultaneously diagonalizes the shear tensor and the electric part of the Weyl tensor. It is shown that such a frame also diagonalises the magnetic part of the Weyl tensor. Using this principal tetrad we show that there are no consistent solutions for irrotational dust with a purely magnetic Weyl tensor.

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