Anisotropic noncommutative Schwarzschild metamaterial

The propagation of light through the metamaterial analogue to the Noncommutative Schwarzschild spacetime is studied. NonCommutative (NC) spacetime properties have been considered in several high energy theories which in the context of gravitation, those may be considered as effective theories of quantum gravity. Following the approach established in [6], we found the properties related to the metamaterial corresponding to the NC-Schwarzschild spacetime. The main effects observed in the simulations are a deviation in the light path and a difference in the electric field norm of the beam compared to the propagation in the standard Schwarzschild metamaterial. These measurable effects are useful to determine the existence of noncommutativity. Also, metamaterial simulations offer a novel way to explore possible observable consequences of modified theories of General Relativity. •The metamaterial analogue to the noncommutative Schwarzschild black hole is studied.•Ray paths are compared with the full wave simulations showing consistent results.•Differences between the norm of electric fields are proposed in order to measure noncommutative effects.•Metamaterial simulations show to be a novel way to observe consequences of modified theories of General Relativity.