Classical field-particle dynamics in space-time geometries

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.