Timelike trajectories with fixed energy under a potential in static spacetimes.
Germinario, Anna (2006)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Trajectories under a vectorial potential on stationary manifolds.”
Timelike trajectories with fixed energy under a potential in static spacetimes.
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.
A Morse theory for light rays on stably causal lorentzian manifolds
F. Giannoni, A. Masiello, P. Piccione (1998)
Annales de l'I.H.P. Physique théorique
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On the existence of geodesics in static Lorentz manifolds with singular boundary
V. Benci, D. Fortunato, F. Giannoni (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Topology and closed characteristics of -contact manifolds.
Rukimbira, Philippe (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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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.