In this paper we consider the problem of the existence and multiplicity for geodesics not including the boundary of a stationary Lorentz manifold having convex boundary. A physical example of a stationary (and non static) Lorentz manifold having convex boundary is the stationary, axisymmetric, asymtotically flat, gravitational field outside a rotating massive object, whenever its angular speed is small and its mean radius is close to the Schwarzschild radius
On the existence of geodesics on stationaryLorentz manifolds with convex boundary
GIANNONI, Fabio;
1991-01-01
Abstract
In this paper we consider the problem of the existence and multiplicity for geodesics not including the boundary of a stationary Lorentz manifold having convex boundary. A physical example of a stationary (and non static) Lorentz manifold having convex boundary is the stationary, axisymmetric, asymtotically flat, gravitational field outside a rotating massive object, whenever its angular speed is small and its mean radius is close to the Schwarzschild radiusFile in questo prodotto:
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