Remarks on the necessity and uniqueness of the gravitational stress-energy pseudotensor

Two uniqueness theorems are presented. The first one proves that the gravitational stress-energy pseudotensors (with upper indices) whose existence was demonstrated by Chandrasekhar are the only ones which are quadratic in the Christoffel symbols. The second theorem proves that the gravitational stress-energy tensor used recently by the writer is the only solution of its differential equation. Furthermore, arguments are presented here for the appropriateness of the differential equation which is used to define the gravitational stress-energy tensor. 7 references.