Abstract
We continue our study of the Lorentz-invariant field theory based on the equations Γ ijk;l =0 and gij;k=0. To first order in a perturbation expansion, we find Γ ijk;l =0 reduces to the wave equation. In orders higher than the first, we find that Γ ijk;l =0 cannot be linearized. We also find that the simple wave-type equation gij∂2g/∂xi∂xj=0 is contained in the theory when an appropriate choice is made for the parameters at the origin point.
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Muraskin, M. Some properties of an “aesthetic” field theory. Found Phys 2, 181–188 (1972). https://doi.org/10.1007/BF00708500
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DOI: https://doi.org/10.1007/BF00708500