2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226054The values for the gravitational energy-momentum density, given by the famous classical pseudotensors: Einstein, Papapetrou, Landau-Lifshitz, Bergmann-Thompson, Goldberg, Møller, and Weinberg, in the small region limit are found to lowest non-vanishing order in normal coordinates. All except Møller's have the zeroth order material limit required by the equivalence principle. However for small vacuum regions we find that {\it none} of these classical holonomic pseudotensors satisfies the criterion of being proportional to the Bel-Robinson tensor. Generalizing an earlier work which had identified one case, we found another independent linear combination satisfying this requirement--and hence a one parameter set of linear combinations of the classical pseudotensors with this desirable property.13 pagesGeneral Relativity and Quantum Cosmologytext