Abstract
Using global variational methods and coordinate free assumptions, we obtain existence and multiplicity results on stationary Lorentzian manifolds for solutions to the Lorentz force equation joining two spacelike submanifolds. Some examples and applications are provided.
Citation
Rossella Bartolo. Anna Germinario. Miguel Sánchez. "Orthogonal trajectories on stationary spacetimes under intrinsic assumptions." Topol. Methods Nonlinear Anal. 24 (2) 239 - 268, 2004.
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