  The effects arising from accelerated and decelerated motion of a point charge
inside a medium are studied. The motion is manifestly relativistic and may be
produced by a constant uniform electric field. It is shown that in addition to
the bremsstrahlung and Cherenkov shock waves, the electromagnetic shock wave
arises when the charge particle velocity coincides with the light velocity in
the medium. For the accelerated motion this shock wave forming an indivisible
entity with the Cherenkov shock wave arrives after the arrival of the
bremsstrahlung shock wave. For the decelerated motion the above shock wave
detaches from the charge at the moment when its velocity coincides with the
light velocity in the medium. This wave existing even after termination of the
charge motion of the charge propagates with the light velocity in the medium.
It has the same singularity as the Cherenkov shock and is more singular than
the bremsstrahlung shock wave. The space-time regions, where these shock waves
exist, and conditions under which they can be observed are determined.
