Periodic trajectories on stationary Lorentzian manifolds
نویسنده
چکیده
In this paper we present an existence and multiplicity result for periodic trajectories on stationary Lorentzian manifolds, possibly with boundary, whose proof is based on a Morse theory approach, see [5]. We recall that a Lorentzian manifold is a smooth connected nite-dimensional manifold M equipped with a (0; 2) tensor eld g such that for any z ∈ M g(z) [·; ·] is a nondegenerate symmetric bilinear form on the tangent space TzM having exactly one negative eigenvalue. Moreover, relativistic spacetimes are a particular class of Lorentzian manifolds of dimension four.
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