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Irrotational dust with a purely magnetic Weyl tensor

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Abstract

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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Authors and Affiliations

  1. Department of Applied Mathematics, University of Cape Town, Rondebosch, 7700, Cape Town, South Africa

    W. M. Lesame

  2. Department of Applied Mathematics, University of Fort Hare, Private Bag X1314, 5700, Alice, South Africa

    W. M. Lesame

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  1. W. M. Lesame
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Lesame, W.M. Irrotational dust with a purely magnetic Weyl tensor. Gen Relat Gravit 27, 1111–1128 (1995). https://doi.org/10.1007/BF02148650

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  • DOI: https://doi.org/10.1007/BF02148650

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