Solutions to the Lorentz force equation with fixed charge-to-mass ratio in globally hyperbolic space-times

DOI10.1016/S0393-0440(03)00073-1zbMath1076.53085arXivgr-qc/0211100MaRDI QIDQ557194

Erasmo Caponio, Ettore Minguzzi

Publication date: 23 June 2005

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0211100

zbMATH Keywords

Kaluza-Klein theoryLorentz force equationglobally hyperbolic space-timenull geodesics.

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Electromagnetic fields in general relativity and gravitational theory (83C50) Kaluza-Klein and other higher-dimensional theories (83E15) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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Convex regions of stationary spacetimes and Randers spaces. Applications to lensing and asymptotic flatness ⋮ Time-like solutions to the Lorentz force equation in time-dependent electromagnetic and gravitational fields ⋮ Connecting solutions of the Lorentz force equation do exist

Cites Work

• The Avez–Seifert theorem for the relativistic Lorentz force equation
• The Large Scale Structure of Space-Time
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