Test particles with acceleration-dependent Lagrangian

DOI10.1063/1.2170486zbMath1111.70016arXivhep-th/0510030OpenAlexW1979945201MaRDI QIDQ3441612

M. Toller

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0510030

zbMATH Keywords

principal fiber bundleLorentz framespseudoacceleration

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws in mechanics of particles and systems (70S10) Lagrange's equations (70H03)

Cites Work

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• Extended test particles in geometric fields
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• Dynamics of relativistic particles with Lagrangians dependent on acceleration
• Complete integrability for Lagrangians dependent on acceleration in a spacetime of constant curvature
• A covariant multipole formalism for extended test bodies in general relativity
• General relativity with spin and torsion: Foundations and prospects
• Foundations of Quantum Mechanics
• Canonical Dynamics of Spinning Particles in Gravitational and Electromagnetic Fields

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