No CrossRef data available.
Article contents
The new potential for the Weyl tensor in N dimensions: gauge andwave equation
Published online by Cambridge University Press: 30 September 2008
Abstract
Although the Lanczos potential (a (2,1) form, Labc) for theWeyl tensor does not exist in dimensions greater than four, a newpotential (a (2,3) form, Pabcde, which coincides with thedouble dual of Labc in four dimensions) has recently beenshown to exist in all dimensions n ≥ 4.In this talk we investigate the question of gauge and discuss the structure of the new potential's wave equation whichis obtained from the Bianchi identities; identifying the gauge supplies us with a new direct proof of the existence of Pabcde via the Cauchy-Kowaleski theorem, as well as the foundation for more general investigations of the first order symmetric hyperbolic structure.
- Type
- Research Article
- Information
- Copyright
- © EAS, EDP Sciences, 2008