Unique characterization of the Bel-Robinson tensor
General Relativity and Quantum Cosmology
2009-11-10 v3
Abstract
We prove that a completely symmetric and trace-free rank-4 tensor is, up to sign, a Bel-Robinson type tensor, i.e., the superenergy tensor of a tensor with the same algebraic symmetries as the Weyl tensor, if and only if it satisfies a certain quadratic identity. This may be seen as the first Rainich theory result for rank-4 tensors.
Keywords
Cite
@article{arxiv.gr-qc/0403024,
title = {Unique characterization of the Bel-Robinson tensor},
author = {G. Bergqvist and P. Lankinen},
journal= {arXiv preprint arXiv:gr-qc/0403024},
year = {2009}
}
Comments
extended version, 13 pages, shorter version published in Class.Quant.Grav