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Algebraic and differential Rainich conditions for symmetric trace-free tensors of higher rank
Linköpings Universitet.
Mälardalens högskola, Institutionen för matematik och fysik.
2005 (engelsk)Inngår i: Proceedings of the Royal Society of London, ISSN 0035-9017, Vol. 461, nr 2059, s. 2181-2195Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We present a study of Rainich-like conditions for symmetric and trace-free tensors T. For arbitrary even rank we find a necessary and sufficient differential condition for a tensor to satisfy the source-free field equation. For rank 4, in a generic case, we combine these conditions with previously obtained algebraic conditions to gain a complete set of algebraic and differential conditions on T for it to be a superenergy tensor of a Weyl candidate tensor, satisfying the Bianchi vacuum equations. By a result of Bell and Szekeres, this implies that in vacuum, generically, T must be the Bel-Robinson tensor of the spacetime. For the rank 3 case, we derive a complete set of necessary algebraic and differential conditions for T to be the superenergy tensor of a massless spin-3/2 field, satisfying the source-free field equation.

sted, utgiver, år, opplag, sider
2005. Vol. 461, nr 2059, s. 2181-2195
HSV kategori
Identifikatorer
URN: urn:nbn:se:mdh:diva-4197DOI: 10.1098/rspa.2004.1411ISI: 000230675100013Scopus ID: 2-s2.0-33748860346OAI: oai:DiVA.org:mdh-4197DiVA, id: diva2:121184
Tilgjengelig fra: 2005-11-24 Laget: 2005-11-24 Sist oppdatert: 2016-01-15bibliografisk 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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