Bonn 2010 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 18: Grundlegende Probleme

GR 18.2: Talk

Friday, March 19, 2010, 14:20–14:40, JUR K

On the equations of motion for a charged dust — •Volker Perlick and Anthony Carr — Physics Department, Lancaster University, Lancaster LA1 4YB, UK

We consider the equations of motion for a charged dust coupled to Maxwell's equations on a general-relativistic spacetime (Maxwell-Lorentz equations). These equations of motion provide a mathematical model, e.g., for the electron component of a (cold) plasma in applications to astrophysics, but also for a beam of charged particles in an accelerator. After establishing some general features of the Maxwell-Lorentz equations, spherically symmetric solutions on Minkowski spacetime are discussed in greater detail. Some unexpected and counter-intuitive properties are found.