Weak Lensing In A Plasma Medium And Gravitational Deflection Of Massive Particles Using The Gauss-Bonnet Theorem. Infinite And Finite Distance Corrections And Lensing Observables.

EMANUEL GALLO; GABRIEL CRISNEJO; ADAM ROGERS

VALENCIA

Conferencia; GR22; 2019

INTERNATIONAL SOCIETY ON GENERAL RELATIVITY AND GRAVITATION

We apply the Gauss-Bonnet theorem to the study of light rays in a plasma medium in a static and spherically symmetric gravitational field and also to the study oftimelike geodesics followed for test massive particles in a spacetime with the same symmetries. The possibility of using this theorem follows from a correspondencebetween timelike curves followed by light rays in a plasma medium and spatial geodesics in an associated Riemannian optical metric