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Clifford Algebra Approach to Superenergy Tensors

Jose M. Pozo·Josep M. Parra
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Abstract

Senovilla has recently defined an algebraic construction of a superenergy tensor T{A} from any arbitrary tensor A, by structuring it as an r-fold form. This superenergy tensor satisfies automatically the dominant superenergy property. We present a more compact definition using the r-direct product Clifford algebra r-Cl(p,q). This form for the superenergy tensors allows to obtain an easy proof of the dominant superenergy property valid for any dimension.

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Jose M. Pozo, Josep M. Parra. 1999-11-10. Clifford Algebra Approach to Superenergy Tensors. https://arxiv.org/abs/gr-qc/9911041

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