Displaying similar documents to “On the existence of geodesics in static Lorentz manifolds with singular boundary”

Some results on the existence of geodesics in static Lorentz manifolds with singular boundary

Vieri Benci, Donato Fortunato, Fabio Giannoni (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this Note we deal with the problem of the existence of geodesies joining two given points of certain non-complete Lorentz manifolds, of which the Schwarzschild spacetime is the simplest physical example.

On a variational theory of light rays on Lorentzian manifolds

Fabio Giannoni, Antonio Masiello (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this Note, by using a generalization of the classical Fermat principle, we prove the existence and multiplicity of lightlike geodesics joining a point with a timelike curve on a class of Lorentzian manifolds, satisfying a suitable compactness assumption, which is weaker than the globally hyperbolicity.