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New construction of casual tensors
Mälardalen University, Department of Mathematics and Physics.
2004 (English)In: Advances in Applied Clifford Algebras, ISSN 0188-7009, Vol. 14, no 2, 191-205 p.Article in journal (Refereed) Published
Abstract [en]

We study the problem of constructing tensors satisfying the dominant property, a generalization of the dominant energy condition T ab u a v b ≥ 0 for all future directed causal vectors u, v. The construction is done on the paravector subspace of the r-fold Euclidean Clifford algebra ⊗rCℓp and is a generalization of the representation of superenergy tensors with complex 2-spinors. Especially, as with 2-spinors, we are able to construct causal tensors of arbitrary rank, contrary to earlier constructions using tensors or the r-fold Lorentzian Clifford algebra ⊗rCℓp,1 that only produce causal tensors of even rank. An advantage of the construction in ⊗rCℓp is that several algebraic properties become trivial due to the Euclidean norm on it.

Place, publisher, year, edition, pages
2004. Vol. 14, no 2, 191-205 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-4198DOI: 10.1007/s00006-004-0012-6OAI: oai:DiVA.org:mdh-4198DiVA: diva2:121185
Available from: 2005-11-24 Created: 2005-11-24 Last updated: 2013-02-06Bibliographically approved
In thesis
1. Spinors, Clifford algebras and superenergy tensors
Open this publication in new window or tab >>Spinors, Clifford algebras and superenergy tensors
2004 (English)Doctoral thesis, comprehensive summary (Other scientific)
Publisher
60 p.
Series
Mälardalen University Press Dissertations, ISSN 1651-4238 ; 10
National Category
Mathematics
Research subject
Matematik/tillämpad matematik
Identifiers
urn:nbn:se:mdh:diva-60 (URN)91-88834-76-X (ISBN)
Public defence
2004-12-17, Gamma, Rosenhill, Västerås, 10:15
Opponent
Supervisors
Available from: 2005-11-24 Created: 2005-11-24

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf