Lifting the Eisenhart-Duval Lift to a Minimal Brane

13 Mar 2020 Gibbons G. W.

The motion of a dynamical system on an $n$-dimensional configuration space may be regarded as the lightlike shadow of null geodsics moving in an $(n+2)$ dimensional spacetime known as its Einsenhart-Duval lift. In this paper it is shown that if the configuration space is $n$-dimensional Euclidean space, and in the absence of magnetic type forces, the Eisenhart-Duval lift may be regarded as an $(n+1)$-brane moving in a flat $(n+4)$ -dimensional space with two times... (read more)

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  • HIGH ENERGY PHYSICS - THEORY
  • GENERAL RELATIVITY AND QUANTUM COSMOLOGY
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS