Is the Riemann tensor derivable from a tensor potential?

DOI10.1007/BF00762934zbMath0543.53027WikidataQ29544353 ScholiaQ29544353MaRDI QIDQ796123

Enrico Massa, Enrico M. Pagani

Publication date: 1984

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

Riemann tensorintegrability conditionsvacuum field equationscovariant derivative of a third rank tensor

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items

Letter to the editor: Nonexistence of the Lanczos potential for the Riemann tensor in higher dimensions ⋮ On potentials for several classes of spinor and tensor fields in curved space-times ⋮ On effective constraints for the Riemann–Lanczos system of equations ⋮ A new gravitational energy tensor ⋮ Lanczos potential for arbitrary Petrov type II spacetimes ⋮ Lanczos potential and perfect fluid spacetimes ⋮ Relativistic potential of Weyl: a gateway to quantum physics in the presence of gravitation? ⋮ A note on a paper by Massa and Pagani ⋮ A scale-invariant, Machian theory of gravitation and electrodynamics unified ⋮ The Riemann–Lanczos equations in general relativity and their integrability

Cites Work

• A natural scalar field in the Einstein gravitational theory
• Lanczos' splitting of the Riemann tensor
• Third-order tensor potentials for the Riemann and Weyl tensors
• The Splitting of the Riemann Tensor
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