Ricci-flat spacetimes admitting higher rank Killing tensors

DOI10.1016/j.physletb.2015.04.001zbMath1330.83038arXiv1503.02162OpenAlexW2158365211MaRDI QIDQ2635127

Marco Cariglia, Anton V. Galajinsky

Publication date: 11 February 2016

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02162

zbMATH Keywords

drach systemshigher rank Killing tensorsRicci-flat spacetimes

Mathematics Subject Classification ID

Relativistic cosmology (83F05)

Related Items (8)

Black holes, hidden symmetries, and complete integrability ⋮ Eisenhart lift for higher derivative systems ⋮ Eisenhart lift of Koopman-von Neumann mechanics ⋮ Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ Some metrics admitting nonpolynomial first integrals of the geodesic equation ⋮ Eisenhart lift for Euler's problem of two fixed centers ⋮ Null lifts and projective dynamics ⋮ Generalized Lense-Thirring metrics: higher-curvature corrections and solutions with matter

Cites Work

• Twistor geometry of a pair of second order ODEs
• Hamilton-Jacobi and Schrödinger separable solutions of Einstein's equations
• On quadratic first integrals of the geodesic equations for type [22 spacetimes]
• The Drach superintegrable systems
• KLEINIAN GEOMETRY AND THE N = 2 SUPERSTRING
• Goryachev-Chaplygin, Kovalevskaya, and Brdička-Eardley-Nappi-Witten pp-waves spacetimes with higher rank Stäckel-Killing tensors
• Conformal killing tensors and covariant Hamiltonian dynamics
• Killing tensors and canonical geometry
• Generalised Eisenhart lift of the Toda chain
• Global Structure of the Kerr Family of Gravitational Fields

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