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The universal 'energy' operator

José M. M. Senovilla
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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.

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José M. M. Senovilla. 2006-10-05. The universal 'energy' operator. https://doi.org/10.1088/0264-9381%2F23%2F23%2Fn01

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