The Splitting of the Riemann Tensor
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Publication:3293194
DOI10.1103/RevModPhys.34.379zbMath0106.41701OpenAlexW2005095687WikidataQ21709625 ScholiaQ21709625MaRDI QIDQ3293194
Publication date: 1962
Published in: Reviews of Modern Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1103/revmodphys.34.379
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Letter to the editor: Nonexistence of the Lanczos potential for the Riemann tensor in higher dimensions ⋮ Dynamics of charged hyperbolically symmetric matter in modified gravity ⋮ A spinor approach to the Lanczos spin tensor ⋮ Curvature-free asymmetric metric connections and Lanczos potentials in Kerr–Schild spacetimes ⋮ The connection between general observers and Lanczos potential ⋮ On potentials for several classes of spinor and tensor fields in curved space-times ⋮ Energy–momentum tensor and duality symmetry of linearized gravity in the Fierz formalism ⋮ Lanczos potential for the van Stockum space-time ⋮ The truncation and renormalizability of the superstring and heterotic string effective actions ⋮ Dimensionally dependent tensor identities by double antisymmetrization ⋮ Nonlinear theories of spin-2 field in terms of Fierz variables ⋮ On effective constraints for the Riemann–Lanczos system of equations ⋮ A new gravitational energy tensor ⋮ Lanczos potential for some type D space–times ⋮ A solution of Weyl-Lanczos equations for arbitrary Petrov type D vacuum spacetimes ⋮ Hyperbolic reduction of the Weyl–Lanczos equations ⋮ Dualisation of free fields ⋮ Dynamics of axial geometry in Palatini f(R) gravity ⋮ A natural scalar field in the Einstein gravitational theory ⋮ Lanczos potential for arbitrary Petrov type II spacetimes ⋮ Lanczos potential and perfect fluid spacetimes ⋮ A Lanczos potential in Kerr geometry ⋮ A potential for the radiative part of the Liénard-Wiechert field ⋮ A new Weyl-like tensor of geometric origin ⋮ Some properties of the Bel and Bel-Robinson tensors ⋮ Spin coefficients as Lanczos scalars: Underlying spinor relations ⋮ Relativistic potential of Weyl: a gateway to quantum physics in the presence of gravitation? ⋮ Lanczos potential ⋮ Undulatory Riemannian Spaces ⋮ Quadratic curvature gravity with second order trace and massive gravity models in three dimensions ⋮ Local existence of symmetric spinor potentials for symmetric (3,1)-spinors in Einstein space-times ⋮ The Lanczos potential for Weyl-candidate tensors exists only in four dimensions ⋮ The affine geometry of the Lanczos H-tensor formalism ⋮ Some potentials for the curvature tensor on three-dimensional manifolds ⋮ The theory of the Lanczos spinor ⋮ Proofs of existence of local potentials for trace-free symmetric 2-forms using dimensionally dependent identities ⋮ Elucidation of some of Lanczos' thoughts concerning spacetime curvature and the local and non-local parts of the Riemann tensor ⋮ Lanczos' splitting of the Riemann tensor ⋮ Hybrid imploding scalar and AdS spacetime ⋮ A weighted de Rham operator acting on arbitrary tensor fields and their local potentials ⋮ A scale-invariant, Machian theory of gravitation and electrodynamics unified ⋮ The Lanczos potential for vacuum space–times with an Ernst potential ⋮ A potential for the Lanczos spintensor in Kerr geometry ⋮ Lanczos spintensor for the Gödel metric ⋮ Beyond the equivalence principle: gravitational magnetic monopoles ⋮ Algebraic invariants and the projective geometry of spinors ⋮ The Lanczos potential and Chern–Simons theory ⋮ The double duals and gauges of the Lanczos tensor ⋮ Third-order tensor potentials for the Riemann and Weyl tensors ⋮ The Riemann–Lanczos equations in general relativity and their integrability ⋮ Third-order tensor potentials for the Riemann and Weyl tensors. II: Singular solutions ⋮ Is the Riemann tensor derivable from a tensor potential? ⋮ The non-existence of a Lanczos potential for the Weyl curvature tensor in dimensions \(n\geq 7\) ⋮ Decomposition of the curvature tensor of hyper-Kähler manifolds
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