We know about the general theory of relativity which is modern theory of gravitation. Einstein formed it by stating no action can be observed including gravitational force faster than speed of light. means gravitational force is not instantaneous so it shows if sun eventually disappears hypothetically , we will experience its action only when its light will reach us.this led to change Newton's formula and theory of gravitation.

so my question is: is Coulomb's force an instantaneous force or not? for similar condition of electron and proton in an atom if proton disappears will they experience it faster than light from proton to electron or vice versa in this imaginary scenario?
if it's not will its formula also change like gravitational force?