liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
A local potential for the Weyl tensor in all dimensions
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
Physics University of the Basque Country.
2004 (English)In: Classical and quantum gravity, ISSN 0264-9381, Vol. 21, no 22Article in journal (Refereed) Published
Abstract [en]

In all dimensions n ≥ 4 and arbitrary signature, we demonstrate the existence of a new local potential - a double (2, 3)-form, Pabcde - for the Weyl curvature tensor Cabcd, and more generally for all tensors Wabcd with the symmetry properties of the Weyl tensor. The classical four-dimensional Lanczos potential for a Weyl tensor - a double (2, 1)-form, Habc - is proven to be a particular case of the new potential: its double dual.

Place, publisher, year, edition, pages
2004. Vol. 21, no 22
National Category
URN: urn:nbn:se:liu:diva-22391DOI: 10.1088/0264-9381/21/22/L01Local ID: 1601OAI: diva2:242704
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2011-01-12

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Edgar, Brian
By organisation
The Institute of TechnologyApplied Mathematics
In the same journal
Classical and quantum gravity

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 360 hits
ReferencesLink to record
Permanent link

Direct link