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arXiv · gr-qc/0303049

Gravito-magnetic vacuum spacetimes: kinematic restrictions

J. J. Ferrando·J. A. Saez
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Abstract

We show that there are no vacuum solutions with a purely magnetic Weyl tensor with respect to an observer submitted to kinematic restrictions involving first order differential scalars. This result generalizes previous ones for the vorticity-free and shear-free cases. We use a covariant approach which makes evident that only the Bianchi identities are used and, consequently, the results are also valid for non vacuum solutions with vanishing Cotton tensor.

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J. J. Ferrando, J. A. Saez. 2003-03-12. Gravito-magnetic vacuum spacetimes: kinematic restrictions. https://doi.org/10.1088/0264-9381%2F20%2F13%2F328

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