I have two questions:
Suppose that we have an amount of energy in the form of a perfect fluid in the right hand side of Einstein field equations (energy momentum tensor), this will lead to a gravitational field, the gravitational field itself has energy, and this self energy also produces gravitational field ... in other words the gravity beget gravity !! ... due to this scenario we will have an infinite gravitational field!! ... what's wrong here?! is my reasoning wrong or is it the field equations that are not correct?
Has this non-linear behavior of gravity(or maybe graviton!) anything to do with the fact that when we try to quantize gravity we encounter infinities?