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Stationary spacetimes and the Simon tensor
Donato Bini, Robert T. Jantzen
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. T…
Geometric transport along circular orbits in stationary axisymmetric spacetimes
Donato Bini, Christian Cherubini, Gianluca Cruciani +1
Parallel transport along circular orbits in orthogonally transitive stationary axisymmetric spacetimes is described explicitly relative to Lie transport in terms of the electric an…
The Simon and Simon-Mars Tensors for Stationary Einstein-Maxwell Fields
Donato Bini, Christian Cherubini, Robert T. Jantzen +1
Modulo conventional scale factors, the Simon and Simon-Mars tensors are defined for stationary vacuum spacetimes so that their equality follows from the Bianchi identities of the s…