Stationary spacetimes and the Simon tensor
General Relativity and Quantum Cosmology
2009-11-10 v1
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.
Cite
@article{arxiv.gr-qc/0411051,
title = {Stationary spacetimes and the Simon tensor},
author = {Donato Bini and Robert T. Jantzen},
journal= {arXiv preprint arXiv:gr-qc/0411051},
year = {2009}
}
Comments
To appear on the Proceedings of the International Conference in Honor of Y. Choquet-Bruhat, "Analysis, Manifolds, and Geometric Structures in Physics" Hotel Cala di Mola Porto Azzurro - Isola d'Elba June 24th-26th, 2004