Does the gravitational Doppler effect affect charge?
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The charge QQ of the gray ball can be found by integrating the electrical field E⃗ E→ over a sphere of some radius RR larger than the radius of the ball. Now let the gray ball be for example a black hole and suppose consider the same kind of integral. The question is if it's independent of where inside the sphere a charge is placed. Although being far from an expert on black holes, I'm quite sure it is independent, and that charge is unaffected by gravity.
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Yes, gravitational waves behave very similarly to light waves. If a source of gravitational waves was coming towards us, those .
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