1,721,122 research outputs found
Applications of Calculus of Variations to General Relativity
No full textWe present some global results on Lorentzian geometry obtained by using global variational methods. In particular some results on the geodesic connectedness of Lorentzian manifolds and on the multiplicity of lightlike geodesics joining a point with a timelike curve are presented. Such I results allow to give a mathematical description of the gravitational lens effect
Stray field due to eddy currents on a cylinder with azimuthal cuts: A comparative analysis of the cut shape effect
No full textAn analytical model to study the effect of the shape of azimuthal cuts in a cylindrical shell
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Geodescis on Lorentizian manifolds with quasi-convex boundary
No full textIn this paper we study existence and multiplicity results of geodesics joining two given events in Lorentzian manifolds with lack of geodesic completeness. The considered Lorentzian manifolds are not necessarily static or stationary and satisfy a condition of convexity of the boundar
On a variational theory of light rays on Lorentizian manifolds
No full textIn thisi Note, using a generalization of the classical Fermat principle, we prove existence and multiplicity of lighlike geodesics joining a point with a timelike curve on a class of Lorentizian manifolds, satisfying a suitable compactness assumption, which is weaker than the classical global hyperbolicit
A model for the analysis of the magnetic field errors at the equatorial portholes of the RFX shell18th IEEE/NPSS Symposium on Fusion Engineering. Symposium Proceedings (Cat. No.99CH37050)
No full textOn the existence of geodesics on stationaryLorentz manifolds with convex boundary
No full textIn 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 radiu
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