In this paper we consider the problem of the existence and multiplicity for geodesics not touching the boundary of a stationary Lorentz manifold having convex boundary. A physical example of a stationary (and nonstatic) Lorentz manifold having convex boundary is the stationary, axisymmetric, asymptotically flat, gravitational field outside a rotating massive object, whenever its angular speed is small and its mean radius is close to the Schwarzschild radius.
|Titolo:||On the existence of geodesics on stationary Lorentz manifolds with convex boundary|
|Data di pubblicazione:||1991|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1016/0022-1236(91)90162-X|
|Appare nelle tipologie:||1.1 Articolo in rivista|