28 August 2022

Landau-Lifshitz, Synge, and Fock pseudotensors are different mathematically and physically

This article delves into the intricacies of pseudotensor analysis, focusing on the derivation of Synge and Fock pseudotensors and their comparison with the Landau-Lifshitz pseudotensor. It underscores the differences in the derivation approaches between Synge and Landau-Lifshitz, particularly highlighting the use of covariant derivatives and the simplification of the Riemann tensor. The author further explores the symmetries of the tensors involved and the implications these have on the derived pseudotensors. The article concludes with a comparative analysis of the canonical forms of the Synge and Landau-Lifshitz pseudotensors, noting the differences in terms and signs.