  This paper opens up the field of nonuniform-velocity SpaceTime-Modulated
(STM) metamaterials, with the canonical example of an STM metamaterial of
constant proper acceleration or, equivalently, hyperbolic acceleration.
Combining tools of General Relativity and Classical Electrodynamics, it derives
the dispersion relation of this exotic medium and reports its fundamental
physics, whose most striking feature is the bending of light in the direction
opposite to the direction of the modulation.
