Weak lensing in a plasma medium using the Gauss-Bonnet theorem

CRISNEJO, GABRIEL; GALLO EMANUEL; ROGERS ADAM

Córdoba-Argentina

Conferencia; grav19; 2019

FAMAF-IFEG-GRUPO DE RELATIVIDAD Y GRAVITACION

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 of timelike geodesics followed for test massive particles in a spacetime with the same symmetries. The possibility of using the theorem follows from a correspondence between timelike curves followed by light rays in a plasma medium and spatial geodesics in an associated Riemannian optical metric. A similar correspondence follows for massive particles. Finite distance corrections to the bending angle are also discussed.