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I understand that it's called a pseudo-tensor because it's not a tensor. Wikipedia says

most pseudo-tensors are sections of jet bundles, which are perfectly valid objects in GR.

Refer Here

Is the Landau-Lifshitz pseudo-tensor a section of a jet bundle?

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  • $\begingroup$ the Landau-Lifshitz and Einstein pseudotensors are different objects, so you might want to edit your question to plural (or clarify in which one you're interested in) $\endgroup$
    – Christoph
    Commented Jan 18, 2015 at 22:47
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    $\begingroup$ @Christoph My bad. I saw the Landau--Lifshitz pseudotensor referred to as the Landau--Lifshitz--Einstein pseudotensor somewhere. Guess the source had a mistake. $\endgroup$
    – Brian Bi
    Commented Jan 19, 2015 at 1:55
  • $\begingroup$ Not directly on the topic of jet bundles, but Urs Schreiber has written a nice piece about fibre bundles and their use in physics ncatlab.org/nlab/show/fiber+bundles+in+physics $\endgroup$
    – Arthur Suvorov
    Commented Jan 21, 2015 at 23:08
  • $\begingroup$ I've also been looking for a reference to this statement $\endgroup$
    – R. Rankin
    Commented Apr 25, 2023 at 0:40

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Because the Landau-Lifshitz pseudotensor behaves as a tensor only with respect to restricted coordinate transformations, it would be considered as a part of the jet bundle within the manifold when used to this end only.

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    $\begingroup$ So like a jet bundle of order 2? Do you have a reference? $\endgroup$
    – Brian Bi
    Commented Apr 29, 2015 at 19:53
  • $\begingroup$ Very much like that! I have no reference available however. $\endgroup$
    – Darrin Lee
    Commented Apr 30, 2015 at 13:34

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