Title: Geodesics with prescribed energy on static Lorentzian manifolds with convex boundary
Abstract: 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.
Publication Year: 2000
Publication Date: 2000-01-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 1
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot