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Algebraic and differential Rainich conditions for symmetric trace-free tensors of higher rank
Linköpings Universitet.
Mälardalen University, Department of Mathematics and Physics.
2005 (English)In: Proceedings of the Royal Society of London, ISSN 0035-9017, Vol. 461, no 2059, 2181-2195 p.Article in journal (Refereed) 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.

Place, publisher, year, edition, pages
2005. Vol. 461, no 2059, 2181-2195 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-4197DOI: 10.1098/rspa.2004.1411ISI: 000230675100013Scopus ID: 2-s2.0-33748860346OAI: oai:DiVA.org:mdh-4197DiVA: diva2:121184
Available from: 2005-11-24 Created: 2005-11-24 Last updated: 2016-01-15Bibliographically 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
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  • asciidoc
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