The universal 'energy' operator
arXiv:gr-qc/0608065 · doi:10.1088/0264-9381/23/23/N01
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.
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