Radiation from hyperbolic motion escapes the Rindler wedge with zero flux at infinity inside it in both frames.
Boulware, Annals of Physics124, Issue 1, 169 (1980)
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On radiation from hyperbolic motion, behavior of electromagnetic fields, and coordinate transformations at infinity
Radiation from hyperbolic motion escapes the Rindler wedge with zero flux at infinity inside it in both frames.