Energy-momentum density in small regions: the classical pseudotensors

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dc.creatorSo, Lau Loi
dc.creatorNester, James M.
dc.creatorChen, Hsin
dc.date2009-01-25
dc.date.accessioned2026-07-07T13:01:07Z
dc.date.available2026-07-07T13:01:07Z
dc.descriptionThe 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0901.3884
dc.identifierhttp://arxiv.org/abs/0901.3884
dc.identifierClass.Quant.Grav.26:085004,2009
dc.identifierdoi:10.1088/0264-9381/26/8/085004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226054
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleEnergy-momentum density in small regions: the classical pseudotensors
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