  We develop a geometrical framework that allows to obtain the electromagnetic
field quantities in accelerated frames. The frame of arbitrary accelerated
observers in space-time is defined by a suitable set of tetrad fields, whose
timelike components are adapted to the worldlines of a field of observers. We
consider the Faraday tensor and Maxwell's equations as abstract tensor
quantities in space-time, and make use of tetrad fields to project the
electromagnetic field quantities in the accelerated frames. As an application,
plane and spherical electromagnetic waves are projected in linearly accelerated
frames in Minkowski space-time. We show that the amplitude, frequency and the
wave vector of the plane wave in the accelerated frame vary with time, while
the light speed remains constant. We also obtain the variation of the Poynting
vector with time in the accelerated frame.
