ACOPLAMIENTO DE LA ELECTRODINÁMICA DE MAXWELL-CHERN-SIMONS A UN CAMPO GRAVITACIONAL EN PRESENCIA DE UN MEDIO OPTICO NO DISPERSIVO EN 2+1 DIMENSIONES

Abstract

We study the Maxwell-Chern-Simons theory coupling it to a gravitational field in a vacuum and under the presence of a simple optical medium that permeates a considerably large region of space, by means of the introduction of the Gordon optical metric. We describe the action of the theory, derive the field equations, and obtain generalizations of the KleinGordon equation for each case. Then we explore the cases of maximally symmetric space time, where we obtain massive wave equations for the electromagnetic field tensor. A particularly interesting result is that in the de Sitter family of space time, under the presence of the optical medium, the electric part of the field tensor has a mass greater than the mass of the magnetic part.