Rainich theory applied to m-rank tensors in n-dimensions
arXiv:0709.1041
Abstract
We show a tensorial-computational way to find out conditions that must fulfil an m-rank tensor in arbitrary dimension in order to be algebraically the energy-momentum tensor of some field. We apply in this paper our method to three 2-rank tensors: electromagnetic, mass less scalar field and perfect fluid tensors. Finally we apply the Rainich theory to some examples.
7 pages, submitted to GRG