1304.4818 (Anna Maria Candela et al.)

Remarks on the completeness of trajectories of accelerated particles in
Riemannian manifolds and plane waves    [PDF]

Anna Maria Candela, Alfonso Romero, Miguel Sánchez

Recently, classical results on completeness of trajectories of Hamiltonian systems obtained at the beginning of the seventies, have been revisited, improved and applied to Lorentzian Geometry. Our aim here is threefold: to give explicit proofs of some technicalities in the background of the specialists, to show that the introduced tools allow to obtain more results for the completeness of the trajectories, and to apply these results to the completeness of spacetimes that generalize classical plane and pp-waves.

View original: http://arxiv.org/abs/1304.4818