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Jun 19, 2019 at 19:50 comment added user200143 One place is section 8.1 of Rudolf Peierls "Surprises in theoretical physics." It is titled "Radiation in hyperbolic motion." He discusses the problem of uniform acceleration (in the rest frame) and the paradoxes and solutions along with references.
Jun 19, 2019 at 19:28 comment added Manas Dogra Can you give references to where the frequency spectrum "well known badly behaved trajectory" of constant acceleration has been treated?
Jun 19, 2019 at 18:00 history answered user200143 CC BY-SA 4.0