Some Aspects of Electromagnetic Waves Propagating in Nonlinear Media taking Gravity into account

Abstract

In this paper we propose to solve approximately using perturbation theory, Maxwell’s equations in general relativity ie in curved space-time (that describes gravitational effects ofmatter on the electromagnetic field) taking in addition account of the fact that the medium may be nonlinear, inhomogeneous and anisotropic that is described by a electromagnetic field dependent permittivity – permeability -conductivity tensor. We also propose a method for estimating under such circumstances, ie gravitational effects & inhomogeneity anisotropicity & nonlinearity of the medium into account, the surface current density induced on an antenna when an electromagnetic field is incident upon it. The entire formalism is based on the tensor calculus and covariant differentiating fundamental to the general theory of relativity.