The general relativity dynamics in the Eisenhart geometry

DOI10.1016/S0960-0779(98)00168-4zbMath0952.83008OpenAlexW2095261404MaRDI QIDQ1573916

Marek Szydłowski

Publication date: 9 August 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00168-4

zbMATH Keywords

isometric embeddingminisuperspaceFermat principleLorentzian signatureEisenhart principlenonsingular metrictimelike trajectory

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Equations of motion in general relativity and gravitational theory (83C10)

Cites Work

• Optical reference geometry for stationary and static dynamics
• Branching polymers and the fractal Cantorian spacetime.
• Change of signature in classical relativity
• Curvature of gravitationally bound mechanical systems
• Geometry of spaces with the Jacobi metric
• Quantum Theory of Gravity. I. The Canonical Theory
• Regularization of kepler's problem and the averaging method on a manifold
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