pseudotensor


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pseudotensor

[¦sü·dō′ten·sər]
(physics)
A quantity which transforms as a tensor under space rotations, but which transforms as a tensor, together with a change in sign, under space inversion.
A quantity which transforms as a tensor under Lorentz transformations, but with an additional sign change under space reflection or time reflection or both.
References in periodicals archive ?
The tensor density (1.10) includes the Einstein-Dirac pseudotensor density [8] which is not symmetric.
Nevertheless, (55) can be rewritten in the form of (18) after introducing some "pseudotensor of the gravitational field" t.
Einstein's proposed resolution of the idea is an energy-momentum pseudotensor constructed from the metric components [1].
The tensor dual to vector [bar.a] is defined as [([[bar.a].sup.x]).sub.ik] = [[epsilon].sub.ijk][a.sub.j]([[epsilon].sub.ijk] is the antisymmetric Levi-Civita's pseudotensor, which should be distinguished from permittivity [[epsilon].sub.ij])[81-83].
For example, for N = 2, Levi-Civita pseudotensor [[epsilon].sup.IJ] is the antisymmetric metric, [[epsilon].sup.12] = +1 = -[[epsilon].sub.12], where [[epsilon].sup.IJ][[epsilon].sub.JK] = [[delta].sup.I.sub.K] and a field or variable transforms as [[phi].sup.I] = [[epsilon].sup.IJ][[phi].sub.J] and [[phi].sub.I] = [[epsilon].sub.IJ][[phi].sup.J].
Einstein's pseudotensor isn't the best solution for elucidating the energy of a gravitational field, of course.
In addition, we introduce the pseudotensor [F.sup.*[alpha][beta]] of the field dual to the field tensor
Hal Puthoff described the GR term to me as a "pseudotensor, which can appear or disappear depending on how you treat mass".
In addition to the field tensor [F.sub.[alpha][beta]], we introduce the field pseudotensor [F*.sup.[alpha][beta]] dual and in the usual way [1]
Gravitational fields bear an energy described by the energy-momentum pseudotensor [14, 15];