Clifford Algebra Approach to Superenergy Tensors

Details Clifford Algebra Approach to Superenergy Tensors Clifford Algebra Approach to Superenergy Tensors

1999-11-10

arxiv.org/abs/gr-qc/9911041v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, LaTeX, uses ere99.sty, contribution to proceedings of ERE99, Bilbao, Sep 7th-10th

Scientific paper

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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