Gravitational waves, electromagntic waves and charged particles

[graupner1000]

Hi all,

I am trying to out what happens when a gravitational wave caused by a monochromatic, electromagnetic plane wave interacts with a charged particle. As we all know, the electromagnetic wave causes the particle to follow a figure of eight shaped path (in the particles rest frame anyway). I've gone through some calculation and have some results, but am not sure whether they are remotely sensible. So I though, I would just search the internet for someone who had done the calculation and see if the answers corresponded. However, search as I may, there is nothing to be found on the subject except for the case with neutral particles (already done that one).

So was hoping someone here might know where I might find such material as I can't imagine that no one else has done this.

Many thanks

 

[PeterDonis]

a gravitational wave caused by a monochromatic, electromagnetic plane wave

A monochromatic, electromagnetic plane wave cannot cause a gravitational wave. So there will be no effect on the charged particle other than the usual effect from Maxwell's Equations.