Abstract

We continue our study of the Lorentz-invariant field theory based on the equations Γ jk;l i =0 and gij;k=0. To first order in a perturbation expansion, we find Γ jk;l i =0 reduces to the wave equation. In orders higher than the first, we find that Γ jk;l i =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