Parallel-propagated frame along the geodesics of the metrics admitting a Killing–Yano tensor

DOI10.1063/1.527072zbMath0594.58061OpenAlexW1980911117MaRDI QIDQ3725229

Niky Kamran, Jean-Alain Marck

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527072

zbMATH Keywords

Killing tensorno constant eigenvalueparallel-propagated framevalence-2 Killing-Yano tensor

Mathematics Subject Classification ID

General relativity (83C99) Applications of PDEs on manifolds (58J90)

Related Items

Separability of the Killing–Maxwell system underlying the generalized angular momentum constant in the Kerr–Newman black hole metrics, Physical frames along circular orbits in stationary axisymmetric spacetimes, Spin-geodesic deviations in the Schwarzschild spacetime

Cites Work

• Space-times with two-index Killing spinors
• Space–times admitting Killing–Yano tensors. I
• Orthogonal transitivity, invertibility, and null geodesic separability in type D electrovac solutions of Einstein’s field equations with cosmological constant
• Solution to the equations of parallel transport in Kerr geometry; tidal tensor
• Separation of variables and symmetry operators for the neutrino and Dirac equations in the space-times admitting a two-parameter abelian orthogonally transitive isometry group and a pair of shearfree geodesic null congruences