Proofs of existence of local potentials for trace-free symmetric 2-forms using dimensionally dependent identities

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dc.creatorEdgar, S. Brian
dc.date2004-07-01
dc.date.accessioned2026-07-07T03:28:49Z
dc.date.available2026-07-07T03:28:49Z
dc.descriptionWe exploit four-dimensional tensor identities to give a very simple proof of the existence of a Lanczos potential for a Weyl tensor in four dimensions with any signature, and to show that the potential satisfies a simple linear second order differential equation, e.g., a wave equation in Lorentz signature. Furthermore, we exploit higher dimensional tensor identities to obtain the analogous results for (m,m)-forms in 2m dimensions.
dc.description8 pages; Tex file
dc.identifierhttps://arxiv.org/abs/gr-qc/0407002
dc.identifierhttp://arxiv.org/abs/gr-qc/0407002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34980
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectDifferential Geometry
dc.titleProofs of existence of local potentials for trace-free symmetric 2-forms using dimensionally dependent identities
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