I am not sure but believe that if a charged particle is stationary in an oscillating (e.g. sinusoidal) gravitational field then it will radiate. At least that is what the principle of equivalence predicts. In any case take any radiating particle. You can always observe it from within its rest frame. I believe it will still radiate.
Magnetic field is just Electric field in a different Frame of Reference. we know that static charges produce electric field. when it is set to constant motion, a stationary observer perceives it as magnetic field, but if the observer were moving in same velocity he would observe electric interactions. as an intuitive example,
• A stationary charged particle does not interact with a static magnetic field. • A charge placed in a magnetic field experiences a magnetic force. 1. The charge must be moving, for no magnetic force acts on a stationary charge. 2.
The force experienced by a particle, carrying the charge + q and moving with a velocity v in a magnetic field with its velocity perpendicular to the field is give by F = qvB. If v = 0, then also = F = 0, i.e., a stationary charged particle in a magnetic field does not experience a force.
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