Orthogonal trajectories on stationary spacetimes under intrinsic assumptions

Rossella Bartolo, Anna Germinario, Miguel Sanchez

DOI: http://dx.doi.org/10.12775/TMNA.2004.027

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.

Keywords


Stationary Lorenzian manifolds; gravitational and electromagnetic fields; orthogonal trajectories; critical point theory

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