Relativistic particles and the geometry of 4-D null curves

DOI10.1016/j.geomphys.2007.05.006zbMath1132.53038OpenAlexW1972212273MaRDI QIDQ2456453

Pascual Lucas, Angel Ferrández, Ángel Giménez

Publication date: 18 October 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2007.05.006

zbMATH Keywords

critical pointLagrangiannull curve

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (11)

Mannheim curves in nonflat 3-dimensional space forms ⋮ On the dynamics of relativistic particles with torsion in warped product spacetimes ⋮ Darboux vector in four-dimensional space-time ⋮ Null curve evolution in four-dimensional pseudo-Euclidean spaces ⋮ Singularities of worldsheets associated with null Cartan curves in Lorentz–Minkowski space–time ⋮ Null Cartan curve variations in 3D semi-Riemannian manifold ⋮ Massless particles in generalized Robertson-Walker 4-spacetimes ⋮ RELATIVISTIC PARTICLES ALONG NULL CURVES IN 3D LORENTZIAN SPACE FORMS ⋮ Pseudo null curve variations for Bishop frame in 3D semi-Riemannian manifold ⋮ Relativistic particles with torsion in three-dimensional non-vacuum spacetimes ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Particle with torsion on 3d null-curves
• Null Frenet-Serret dynamics
• Geometrical particle models on 3D null curves
• NULL HELICES IN LORENTZIAN SPACE FORMS
• (2+1)-dimensional models of relativistic particles with curvature and torsion
• Frenet–Serret dynamics
• Hamiltonians for curves
• THE MODEL OF A FREE RELATIVISTIC PARTICLE WITH FRACTIONAL SPIN
• Hamiltonian Frenet–Serret dynamics
• A criterion for reduction of variables in the Willmore-Chen variational problem and its applications
• Explicit integration of the Hénon-Heiles Hamiltonians 1
• Conformal tension in string theories and M-theory
• General helices in the three-dimensional Lorentzian space forms

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