  In this letter first we show that the equation of null geodesics in
spherically symmetric spacetimes in isotropic coordinates is identical to the
equation of light ray trajectories in isotropic media in flat spacetime. Based
on this analogy we introduce an exact simulation of the light ray trajectories
both in these spacetimes and in their metamaterial analogs in terms of the
spacetime index of refraction. As unstable light trajectories, the photon
spheres form in these metamaterial analogs at {\it exactly} the same radial
distances as expected from the corresponding black hole geometries. Using the
same ray-tracing simulation we find the analog of a simple black hole shadow
formed by the metamaterial analog of a Schwarzschild black hole, eclipsing a
line of light sources near its analog horizon.

General Relativity and Quantum Cosmology;Optics