Eisenhart Lift of $2$--Dimensional Mechanics

10 Jan 2019 Fordy Allan P. Galajinsky Anton

The Eisenhart lift is a variant of geometrization of classical mechanics with $d$ degrees of freedom in which the equations of motion are embedded into the geodesic equations of a Brinkmann-type metric defined on $(d+2)$-dimensional spacetime of Lorentzian signature. In this work, the Eisenhart lift of $2$-dimensional mechanics on curved background is studied... (read more)

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  • EXACTLY SOLVABLE AND INTEGRABLE SYSTEMS
  • GENERAL RELATIVITY AND QUANTUM COSMOLOGY
  • HIGH ENERGY PHYSICS - THEORY
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS
  • CLASSICAL PHYSICS