Autoparallels from a new action principle

DOI10.1023/A:1026701613987zbMath1010.83055arXivgr-qc/9605028OpenAlexW1485351559MaRDI QIDQ1808013

Hagen Kleinert, Axel Pelster

Publication date: 30 November 1999

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9605028

zbMATH Keywords

torsionaction principlemotion of a spinless point particle

Mathematics Subject Classification ID

Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Equations of motion in general relativity and gravitational theory (83C10)

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Tangent bundle viewpoint of the Lorenz system and its chaotic behavior ⋮ Constraining spacetime torsion with LAGEOS ⋮ Universality principle for orbital angular momentum and spin in gravity with torsion. ⋮ Auto-parallel equation as Euler-Lagrange's equation over spaces with affine connections and metrics ⋮ Dilaton gravity in two dimensions ⋮ Quasi-momentum theorem in Riemann-Cartan space ⋮ Decomposition of almost Poisson structure of non-self-adjoint dynamical systems ⋮ Nonholonomic mapping principle for classical and quantum mechanics in spaces with curvature and torsion. ⋮ Nonholonomic versus vakonomic dynamics on a Riemann–Cartan manifold

Cites Work

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• The differential geometry of elementary point and line defects in Bravais crystals
• Nonholonomic mapping principle for classical and quantum mechanics in spaces with curvature and torsion.
• General relativity with spin and torsion: Foundations and prospects
• Ricci-Calculus
• Universality principle for orbital angular momentum and spin in gravity with torsion.