Curvature-free asymmetric metric connections and Lanczos potentials in Kerr–Schild spacetimes

DOI10.1063/1.532425zbMath1001.83009OpenAlexW2062264856MaRDI QIDQ4260518

Fredrik Andersson, S. Brian Edgar

Publication date: 16 December 2002

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

Full work available at URL: https://doi.org/10.1063/1.532425

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (4)

Spin coefficients as Lanczos scalars: Underlying spinor relations ⋮ Local existence of symmetric spinor potentials for symmetric (3,1)-spinors in Einstein space-times ⋮ Quasi-local energy-momentum and angular momentum in general relativity ⋮ Quasi-local energy-momentum and angular momentum in gr: a review article

Cites Work

• The connection between general observers and Lanczos potential
• On potentials for several classes of spinor and tensor fields in curved space-times
• Third-order tensor potentials for the Riemann and Weyl tensors
• The Splitting of the Riemann Tensor
• Lanczos potential
• The flat generalized affine connection and twistors for the Kerr solution
• Lanczos spin tensor for empty type D spacetimes
• A Lanczos potential in Kerr geometry
• The Lanczos potential for the Weyl curvature tensor: existence, wave equation and algorithms
• Some solutions of the Lanczos vacuum wave equation
• Lanczos potential for some type D space–times
• Quasilocal momentum and angular momentum in Kerr spacetime

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