EAS Publications Series
Volume 30, 2008Spanish Relativity Meeting - Encuentros Relativistas Españoles , ERE2007: Relativistic Astrophysics and Cosmology
|Page(s)||245 - 248|
|Published online||30 September 2008|
A. Oscoz, E. Mediavilla and M. Serra-Ricart (eds)
EAS Publications Series, 30 (2008) 245-248
The new potential for the Weyl tensor in N dimensions: gauge and wave equation
Matematiska Institutionen, Linköpings Universitet, 581 83,
2 Física Teórica, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain
Although the Lanczos potential (a (2,1) form, Labc) for the Weyl tensor does not exist in dimensions greater than four, a new potential (a (2,3) form, Pabcde, which coincides with the double dual of Labc in four dimensions) has recently been shown 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 which is 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.
© EAS, EDP Sciences, 2008
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