The universal 'energy' operator
General Relativity and Quantum Cosmology
2009-11-11 v2
Abstract
The "positive square" of any tensor is presented in a universal and unified manner, valid in Lorentzian manifolds of arbitrary dimension, and independently of any (anti)-symmetry properties of the tensor. For rank-m tensors, the positive square has rank 2m. Positive here means future, that is to say, satisfying the dominant property. The standard energy-momentum and super-energy tensors are recovered as appropriate parts of the general square. A richer structure of principal null directions arises.
Cite
@article{arxiv.gr-qc/0608065,
title = {The universal 'energy' operator},
author = {José M. M. Senovilla},
journal= {arXiv preprint arXiv:gr-qc/0608065},
year = {2009}
}
Comments
13 pages, no figures; minor improvements and corrections. This is a larger, expanded version, containing proofs and explanations not available in the short Note to be published in CQG