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Feb 9, 2021 at 0:08 comment added Phil Harmsworth Alternatively you could have a look at chapter 20 of Misner, Thorne and Wheeler's book Gravitation .
Feb 5, 2021 at 14:22 comment added JHM The article (or at least as much as i can read it here books.google.ca/…) does not have any conclusive answer... apparently Levi-Civita, Schrodinger, Bauer were all critical of the pseudotensor $t_{ij}$.
Jan 27, 2021 at 8:03 comment added Phil Harmsworth I suggest that you use the book title in worldcat.org/advancedsearch and check your nearest library.
Jan 23, 2021 at 15:34 comment added JHM @PhilHarmsworth Would you have a pdf or image of that article available? Very interested to read, but cannot locate.
Jan 14, 2021 at 7:28 comment added Phil Harmsworth In this connection, the paper by Cattani and De Maria "Conservation Laws and Gravitational Waves in General Relativity (1915 - 1918)" in Earman, Janssen and Norton The Attraction of Gravitation: New Studies in the History of General Relativity (Springer 1993) compares and contrasts the view of Einstein, Levi-Civita and Schrödinger.
Jan 11, 2021 at 15:28 comment added JHM Levi-Civita's approach in Ch. XI of "The Abs. Dif. Cal" is the clearest GR exposition i've yet found, where he explains the vanishing tensor divergence of $T={T_{ij}}$ as equivalent to a "mass-energy" continuity equation in, with the important caveat that the tensor divergence is defined iff $T$ is tensorial. And the tensoriality of $T$ appears to depend on the molecular media model AND the assumption that there are no forces acting at a distance (Levi Civita posits $F=0$ in vector equation $\rho x'' = \rho F - \chi$, where $\chi=-div\Theta$ is divergence of a stress tensor $\Theta$.)
Jan 11, 2021 at 13:21 history edited JHM CC BY-SA 4.0
elaborated with some corrections
Jan 11, 2021 at 10:47 comment added Phil Harmsworth If you're interested in the misapprehensions arising in the development of the theory of gravitational waves, D. Kennefick discusses these in his book "Traveling at the Speed of Thought: Einstein and the Quest for Gravitational Waves" (Princeton, 2007). The two volume study by M. Maggiore "Gravitational Waves" (OUP, 2008) provides a current view.
Jan 9, 2021 at 10:59 comment added JHM On the other hand, Levi-Civita himself was aware of Einstein's energy being a pseudo-tensor, and attempting to resolve this issue, offered his own gravitational equations. See personalpages.to.infn.it/~zaninett/projects/storia/…
Jan 8, 2021 at 17:49 history edited JHM CC BY-SA 4.0
elaborated.
Jan 6, 2021 at 15:24 comment added JHM @PhilHarmsworth Is there a particular critique in the above url link that you find especially persuasive? I am aware of the Crothers/Hooft correspondance, although their exchanges are mutually quite rude. Being skeptical and honest means I'm obligated to thoroughly study BOTH sides of the controversy. What do you think is Crothers' strongest argument?
Jan 6, 2021 at 15:10 history edited JHM CC BY-SA 4.0
Elaborations. Emphasizing the nontensorial identity of the gravitational energy is mathematical proof that GWs do not exist outside of linearization. Controversial.
Jan 6, 2021 at 14:13 history edited JHM CC BY-SA 4.0
elaborated
Jan 6, 2021 at 9:21 comment added Phil Harmsworth webspace.science.uu.nl/~hooft101/…
Jan 5, 2021 at 22:03 history answered JHM CC BY-SA 4.0