Clifford Algebra Approach to Superenergy Tensors
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 1999
- DOI:
- arXiv:
- arXiv:gr-qc/9911041
- Bibcode:
- 1999gr.qc....11041P
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 6 pages, LaTeX, uses ere99.sty, contribution to proceedings of ERE99, Bilbao, Sep 7th-10th