We consider an electric charge uniformly accelerating along the $x$ direction and moving with constant velocity along the $y$ direction. We show that while co-accelerating along the $x$ direction in the Rindler frame this charge creates a nonzero Poynting vector, which, however, does not lead to a nonvanishing flux through an infinitely distant surface. Furthermore, we show that in the laboratory Minkowski frame such a charge creates a stress energy flux that does not vanish at infinity. We interpret these observations as that while the Rindler frame corresponds to the static zone around the charge, the Minkowski frame does contain the wave zone. We give detailed calculations and explanations concluding that a uniformly accelerating charge does radiate.

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• Special relativity