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It is shown that for the spherically-symmetric and static systems thehypotheses posed by Yang and Radinschi and by Vagenas can be related to theparticular distribution of the source. Simple proofs are given and a number ofexamples are discussed with the special emphasis put on the quantum correctedSchwarzschild black hole.

Some remarks on the Einstein and M{\o}ller pseudotensors for static and spherically-symmetric configurations