Completeness of trajectories of relativistic particles under stationary magnetic fields

Anna Maria Candela, Alfonso Romero, Miguel Sánchez

The second order differential equation $\frac{D\dot{\gamma }}{dt}(t)=F_{\gamma (t)}(\dot{\gamma }(t))-\nabla V(\gamma (t))$ on a Lorentzian manifold describes, in particular, the dynamics of particles und…