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Stationary spacetimes and the Simon tensor

Donato Bini·Robert T. Jantzen
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Abstract

For stationary vacuum spacetimes the Bianchi identities of the second kind equate the Simon tensor to the Simon-Mars tensor, the latter having a clear geometrical interpretation. The equivalence of these two tensors is broken in the nonvacuum case by additional source energy-momentum terms, but absorbing these source terms into a redefinition of the Simon tensor restores the equality. Explicit examples are discussed for electrovacuum and rigidly rotating matter fields.

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Donato Bini, Robert T. Jantzen. 2004-11-10. Stationary spacetimes and the Simon tensor. https://doi.org/10.1393/ncb%2Fi2004-10183-9

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