Effect of medium on fundamental interaction

We show that the gravitational field undergoes exponential cutoff at large cosmological scales due to the presence of background matter. This reflects the nonlinear nature of the gravitational interaction. This effect is illustrated by the example of different types of background matter, which confirms its universality. We also demonstrate that there is a close mathematical analogy between this effect and the behavior of the magnetic field induced by a solenoid placed in a superconductor.