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World Scientific Publishing, International Journal of Geometric Methods in Modern Physics, 08(10), p. 1360007

DOI: 10.1142/s0219887813600074

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Completeness of trajectories of relativistic particles under stationary magnetic fields

Journal article published in 2012 by Anna Maria Candela, Alfonso Romero, Miguel Sánchez ORCID
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This paper is available in a repository.

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Abstract

The second order differential equation $\frac{D\dot\gamma}{dt}(t) = F_{γ(t)}(\dotγ(t)) - ∇ V(γ(t))$ on a Lorentzian manifold describes, in particular, the dynamics of particles under the action of a electromagnetic field $F$ and a conservative force $-∇ V$. We provide a first study on the extendability of its solutions, by imposing some natural assumptions.