We make a short comment on our new general relativity formulated on the Weitzenböck space-time. The new general relativity considered here has one free parameter besides the Einstein constant $\kappa$. The total action is invariant under a class of local Lorentz transformations, besides being invariant under general coordinate and global Lorentz transformations. The consequences of this "restricted local Lorentz invariance" are studied.

• Received 28 July 1981

DOI:https://doi.org/10.1103/PhysRevD.24.3312