9
$\begingroup$

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?

$\endgroup$
  • $\begingroup$ 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 Jan 18 '15 at 22:47
  • 1
    $\begingroup$ @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 Jan 19 '15 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 Jan 21 '15 at 23:08
2
$\begingroup$

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.

| cite | improve this answer | |
$\endgroup$
  • 1
    $\begingroup$ So like a jet bundle of order 2? Do you have a reference? $\endgroup$ – Brian Bi Apr 29 '15 at 19:53
  • $\begingroup$ Very much like that! I have no reference available however. $\endgroup$ – Darrin Lee Apr 30 '15 at 13:34

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.