We 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.
Applications of calculus of variations to general relativity / Masiello, Antonio. - STAMPA. - (2000), pp. 173-195. (Intervento presentato al convegno 13th Italian Conference on General Relativity and Gravitational Physics tenutosi a Monopoli; italy nel September 21-25, 1998) [10.1007/978-88-470-2113-6_14].
Applications of calculus of variations to general relativity
Masiello, Antonio
2000-01-01
Abstract
We 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
