Orthogonal trajectories on stationary spacetimes under intrinsic assumptions

Authors

  • Rossella Bartolo
  • Anna Germinario
  • Miguel Sanchez

Keywords

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

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.

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Published

2004-12-01

How to Cite

1.
BARTOLO, Rossella, GERMINARIO, Anna and SANCHEZ, Miguel. Orthogonal trajectories on stationary spacetimes under intrinsic assumptions. Topological Methods in Nonlinear Analysis. Online. 1 December 2004. Vol. 24, no. 2, pp. 239 - 268. [Accessed 5 July 2025].

Issue

Vol 24, No 2 (December 2004)

Section

Articles

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