Hamiltonian particle mechanics on curved space-times—A no-interaction theorem

DOI10.1063/1.527391zbMath0599.70024OpenAlexW2156171718MaRDI QIDQ3735119

Stephan De Bièvre

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527391

zbMATH Keywords

symmetryisometry groupphase spacede Sitter space-timecanonical transformationsLorentz metriclocal actionG-invariance of the particle systemG-invariant dynamicsgeodesic particle motionnon-interaction theoremrelativistic Hamiltonian n-particle system

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Equations of motion in general relativity and gravitational theory (83C10) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (3)

Unnamed Item ⋮ Möller operators in classical relativistic two-particle scattering ⋮ Lagrangian formalism and retarded classical electrodynamics

Cites Work

• Unified geometrical approach to relativistic particle dynamics
• Quantum fields in curved space-times

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