Analogous Electromagnetic Wave Propagation in a Schwarzschild Black Hole Space-time Using a Parallel Pair of Curved Conducting Surfaces

We demonstrate that a waveguide consisting of a Pair of Parallel Curved Conducting Surfaces can be used as an analogous electromagnetic model of the gravitational field generated by a Schwarzschild black hole. The influence of gravity on the propagation of electromagnetic waves is encoded in the curvature of the surfaces of the waveguide. The results obtained for the propagation of a one-dimensional Gaussian Beam by full-wave simulations show excellent agreement with the Schwarzschild geodesic structure. To the best of our knowledge, we highlight that this is the first time that an analogous electromagnetic model, based on this type of waveguide, has been proposed to reproduce the electromagnetic wave propagation within the gravitational field of a Schwarzschild black hole. This approach can be advantageously employed by the whole astrophysical community as a means to better inquire the propagation of electromagnetic waves inside the Schwarzschild gravitational field, as well as their interactions.