The Chevreton tensor and its trace
2005 (English)Licentiate thesis, monograph (Other academic)
In this thesis we investigate the Chevreton tensor in Einstein-Maxwell theory. It was introduced in 1964 as the counterpart, for electromagnetic fields, of the well-known Bel-Robinson tensor of the gravitational field. We prove that, in the absence of electromagnetic sources, this tensor is completely symmetric. We consider currents constructed from the Chevreton tensor with Killing vectors and show that these currents are conserved for some types of spacetimes with a hypersurface orthogonal Killing vector or two commuting Killing vectors that act orthogonally transitive on non-null surfaces. In addition, we show that the trace of the Chevreton tensor is a rank-two, symmetric, trace-free, divergence-free tensor and that it is related to the Bach tensor. This allows us to investigate Einstein Maxwell spacetimes with a vanishing Bach tensor.
Place, publisher, year, edition, pages
Linköping: Linköpings universitet , 2005. , 77 p.
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 1146
IdentifiersURN: urn:nbn:se:liu:diva-24454Local ID: 6566ISBN: 91-85297-24-0OAI: oai:DiVA.org:liu-24454DiVA: diva2:244773
2005-02-17, Glashuset, Hus B, Linköpings universitet, Linköping, 10:15 (Swedish)
Mars, Marc, Dr