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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
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-22391DOI: 10.1088/0264-9381/21/22/L01Local ID: 1601OAI: oai:DiVA.org:liu-22391DiVA: diva2:242704
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2011-01-12

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Publisher's full texthttp://www.iop.org/EJ/abstract/-search=7818380.1/0264-9381/21/22/L01

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Edgar, Brian

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