Ergoregion in Metamaterials Mimicking a Kerr Spacetime

Abstract

We propose a simple singularity-free coordinate transformation that could be implemented in Maxwell's equations in order to simulate one aspect of a Kerr black hole. Kerr black holes are known to force light to rotate in a predetermined direction inside the ergoregion. By making use of cosmological analogies and the theoretical framework of transformation optics, we have designed a metamaterial that can make light behave as if it is propagating around a rotating cosmological massive body. We present numerical simulations involving incident Gaussian beams interacting with the materials to verify our predictions. The ergoregion is defined through the dispersion curve of the off-axis permittivities components.

Planewave response of a simple Lorentz-nonreciprocal medium with magnetoelectric gyrotropy

“…where I is the identity dyadic [3], the dyadic γ and the vector Γ emerge from the gravitational metric, µ 0 is the permeability of gravitationally unaffected free space, and ε 0 is the permittivity of gravitationally unaffected free space. Several composite materials have been theoretically formulated [4][5][6][7][8][9][10] to simulate certain characteristics of relativistic spacetime.…”