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New construction of casual tensors
Mälardalens högskola, Institutionen för matematik och fysik.
2004 (engelsk)Inngår i: Advances in Applied Clifford Algebras, ISSN 0188-7009, Vol. 14, nr 2, s. 191-205Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2004. Vol. 14, nr 2, s. 191-205
HSV kategori
Identifikatorer
URN: urn:nbn:se:mdh:diva-4198DOI: 10.1007/s00006-004-0012-6OAI: oai:DiVA.org:mdh-4198DiVA, id: diva2:121185
Tilgjengelig fra: 2005-11-24 Laget: 2005-11-24 Sist oppdatert: 2013-02-06bibliografisk kontrollert
Inngår i avhandling
1. Spinors, Clifford algebras and superenergy tensors
Åpne denne publikasjonen i ny fane eller vindu >>Spinors, Clifford algebras and superenergy tensors
2004 (engelsk)Doktoravhandling, med artikler (Annet vitenskapelig)
Publisher
s. 60
Serie
Mälardalen University Press Dissertations, ISSN 1651-4238 ; 10
HSV kategori
Forskningsprogram
Matematik/tillämpad matematik
Identifikatorer
urn:nbn:se:mdh:diva-60 (URN)91-88834-76-X (ISBN)
Disputas
2004-12-17, Gamma, Rosenhill, Västerås, 10:15
Opponent
Veileder
Tilgjengelig fra: 2005-11-24 Laget: 2005-11-24

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