On effective constraints for the Riemann–Lanczos system of equations

DOI10.1063/1.1619203zbMath1063.53079arXivgr-qc/0302014OpenAlexW2011213987MaRDI QIDQ4833185

S. Brian Edgar

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0302014

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (2)

A weighted de Rham operator acting on arbitrary tensor fields and their local potentials ⋮ The Riemann–Lanczos equations in general relativity and their integrability

Cites Work

• A note on a paper by Massa and Pagani
• Third-order tensor potentials for the Riemann and Weyl tensors. II: Singular solutions
• Is the Riemann tensor derivable from a tensor potential?
• On potentials for several classes of spinor and tensor fields in curved space-times
• A natural scalar field in the Einstein gravitational theory
• Letter to the editor: Nonexistence of the Lanczos potential for the Riemann tensor in higher dimensions
• Third-order tensor potentials for the Riemann and Weyl tensors
• The non-existence of a Lanczos potential for the Weyl curvature tensor in dimensions \(n\geq 7\)
• E. Cartan's geometrie theory of partial differential equations
• Existence of Lanczos potentials and superpotentials for the Weyl spinor/tensor
• The Splitting of the Riemann Tensor
• The Lanczos potential for the Weyl curvature tensor: existence, wave equation and algorithms
• Dimensionally dependent tensor identities by double antisymmetrization
• Exterior differential systems, Janet–Riquier theory and the Riemann–Lanczos problems in two, three, and four dimensions
• The Lanczos potential for Weyl-candidate tensors exists only in four dimensions

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