Higher rank Killing tensors and Calogero model

2012/01/31 by Anton Galajinsky · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Combinatorics #Computer science #Lift (data mining) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Rank (graph theory) #Spacetime #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.85.085002

V2: 12 pages, discussion extended, presentation improved, references added. The version to appear in PRD

arxiv created 2012/03/10 · openalex publication_date 2012/04/03 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

(n+2)-dimensional Lorentzian spacetime which admits irreducible Killing tensors of rank up to n is constructed by applying the Eisenhart lift to the Calogero model.

Citations

• Nonrelativistic conformal structures
• Remarks on N = 4 Superconformal Extension of the Calogero Model
• SUSY in the sky
• Global Structure of the Kerr Family of Gravitational Fields
• Conformal Properties of Chern-Simons Vortices in External Fields
• Bargmann structures and Newton-Cartan theory

Cited by

• The Bohlin variant of the Eisenhart lift
• Killing tensors and canonical geometry