The Riemann–Lanczos equations in general relativity and their integrability

DOI10.1063/1.2936999zbMath1152.81402OpenAlexW2074494363MaRDI QIDQ5504947

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Publication date: 23 January 2009

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

Full work available at URL: https://doi.org/10.1063/1.2936999

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

• Symmetries and conservation laws of partial differential equations: Basic notions and results
• Local symmetries and conservation laws
• Third-order tensor potentials for the Riemann and Weyl tensors. II: Singular solutions
• Is the Riemann tensor derivable from a tensor potential?
• A simple characterization of the contact system on J k(E)
• Local jet bundle formulation of Bäcklund transformations. With applications to non-linear evolution equations
• 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 Splitting of the Riemann Tensor
• On the arbitrariness of the general solution of an involutive partial differential equation
• Exterior differential systems, Janet–Riquier theory and the Riemann–Lanczos problems in two, three, and four dimensions
• The Weyl–Lanczos equations and the Lanczos wave equation in four dimensions as systems in involution
• Prolongation methods and Cartan characters for the three-dimensional Riemann–Lanczos problem
• On effective constraints for the Riemann–Lanczos system of equations
• The wave equation for the Lanczos potential. I
• The cauchy problem for pfaffian systems

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