Geometrical particle models on 3D null curves

DOI10.1016/S0370-2693(02)02450-4zbMath0997.83006arXivhep-th/0205284MaRDI QIDQ1612885

Angel Ferrández, Pascual Lucas, Ángel Giménez

Publication date: 4 September 2002

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0205284

zbMATH Keywords

\((2+1)\)-dimensional mechanical systemslight-like curvessolution moduli spaces

Mathematics Subject Classification ID

Equations of motion in general relativity and gravitational theory (83C10)

Related Items (24)

Mannheim curves in nonflat 3-dimensional space forms ⋮ Conformal geometry of timelike curves in the \((1 + 2)\)-Einstein universe ⋮ Null Cartan Bertrand curves of \(AW(k)\)-type in Minkowski 4-space ⋮ Null curve evolution in four-dimensional pseudo-Euclidean spaces ⋮ Local geometric properties of the lightlike Killing magnetic curves in de Sitter 3-space ⋮ Null Frenet-Serret dynamics ⋮ Singularities of worldsheets associated with null Cartan curves in Lorentz–Minkowski space–time ⋮ Similar and self-similar null Cartan curves in Minkowski-Lorentzian spaces ⋮ Singularities of focal surfaces of null Cartan curves in Minkowski 3-space ⋮ New results concerning Cartan null and pseudo null curves in Minkowski 3-space ⋮ Elastic null curve flows, nonlinear C-integrable systems, and geometric realization of Cole-Hopf transformations ⋮ Lightlike hypersurfaces and canal hypersurfaces of Lorentzian surfaces ⋮ Null surfaces of null Cartan curves in Anti-de Sitter 3-space ⋮ Relativistic particles and the geometry of 4-D null curves ⋮ On focal curves of null Cartan curves ⋮ Null Cartan curve variations in 3D semi-Riemannian manifold ⋮ Extremals of curvature energy actions on spherical closed curves ⋮ Curves of AW\((k)\)-type in 3-dimensional null cone ⋮ Critical Robertson-Walker universes ⋮ Invariant signatures of closed planar curves ⋮ RELATIVISTIC PARTICLES ALONG NULL CURVES IN 3D LORENTZIAN SPACE FORMS ⋮ Pseudo null curve variations for Bishop frame in 3D semi-Riemannian manifold ⋮ On the Cartan curvatures of a null curve in Minkowski space-time ⋮ GEOMETRICAL PARTICLE MODELS ON 3D LIGHTLIKE CURVES

Cites Work

• Unnamed Item
• Massless particle with rigidity as a model for the description of bosons and fermions
• Particle with torsion on 3d null-curves
• NULL HELICES IN LORENTZIAN SPACE FORMS

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