By using some variational principles and the Ljusternik-Schnirelmann critical point theory, we extend some previous results dealing with the existence and multiplicity of geodesics having prescribed energy joining a point with a line on static Lorentzian manifolds with convex boundary. Our techniques work also in the case of timelike and spacelike geodesics on manifolds with boundary and for a physically relevant class of spacetimes with non-smooth boundary. (C) 2000 Elsevier Science B.V. All rights reserved.
|Titolo:||Geodesics with prescribed energy on static Lorentzian manifolds with convex boundary|
|Data di pubblicazione:||2000|
|Digital Object Identifier (DOI):||10.1016/S0393-0440(99)00034-0|
|Appare nelle tipologie:||1.1 Articolo in rivista|