The universal 'energy' operator

Details The universal 'energy' operator The universal 'energy' operator

2006-08-12

arxiv.org/abs/gr-qc/0608065v2

Class.Quant.Grav. 23 (2006) 7143-7148

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, no figures; minor improvements and corrections. This is a larger, expanded version, containing proofs and explanatio

Scientific paper

10.1088/0264-9381/23/23/N01

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.

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