Algebraic decomposition of the electromagnetic constitutive tensor. A step towards a pre-metric based gravitation?
Article first published online: 24 JAN 2008
Copyright © 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Annalen der Physik
Volume 17, Issue 1, pages 17–27, February 2008
How to Cite
Matagne, E. (2008), Algebraic decomposition of the electromagnetic constitutive tensor. A step towards a pre-metric based gravitation?. Ann. Phys., 17: 17–27. doi: 10.1002/andp.200710272
- Issue published online: 24 JAN 2008
- Article first published online: 24 JAN 2008
- Manuscript Revised: 26 NOV 2007
- Manuscript Accepted: 26 NOV 2007
- Manuscript Received: 22 NOV 2007
- premetric electromagnetics;
- constitutive tensor;
The aim of this paper is to provide an algebraic decomposition of the principal part of the electromagnetic constitutive tensor χμνρσ (a pre-metric structure), in a sum of terms of the form
where the Z(i) are invariant scalars and gμν(i)unimodular conformal metrics. If the space-time is also equipped with a volume measure, such a decomposition is equivalent to a similar decomposition of the associated area metric, where the gμν(i) are ordinary metrics. It has been recently argued  that, if such a particular decomposition should be available, it would then be possible to find a compatible connection and derived tensors.