Classical field-particle dynamics in space-time geometries

2003/08/26 by Robin W. Tucker, R.W. Tucker
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Electromagnetic field #Field (mathematics) #Generalization #Gravitation #Gravitational field #Mathematical analysis #Mathematics #Orthonormal basis #Physics #Pure mathematics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Space (punctuation) #Space time #Spacetime #Spin (aerodynamics) #Theoretical physics #gr-qc

paper · pdf · doi:10.1098/rspa.2004.1311

LaTeX, 28 pages

arxiv created 2003/08/26 · openalex publication_date 2004/07/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

With the aid of a Fermi–Walker chart associated with an orthonormal frame attached to a timelike curve in space–time, a discussion is given of relativistic balance laws that may be used to construct models of massive particles with spin, electric charge and a magnetic moment, interacting with background electromagnetic fields and gravitation described by non–Riemannian geometries. A natural generalization to relativistic Cosserat media is immediate.

Citations

• Split structures in general relativity and the Kaluza–Klein theories
• Spinning test-particles in general relativity. I
• Fermi coordinates for weak gravitational fields
• Gauge symmetry and gravito-electromagnetism
• The mass-centre in the restricted theory of relativity and its connexion with the quantum theory of elementary particles
• Riemannian Geometry