Exact cosmological solutions of scale-invariant gravity theories

We have found new anisotropic vacuum solutions for the scale-invariant gravity theories which generalize Einstein's general relativity to a theory derived from the Lagrangian R1+δ. These solutions are expanding universes of Kasner form with an initial spacetime singularity at t = 0 and exist for −1/2 < δ < 1/4 but possess different Kasner index relations to the classic Kasner solution of general relativity to which they reduce when δ = 0. These solutions are unperturbed by the introduction of non-comoving perfect-fluid matter motions if p < ρ on approach to the singularity and should not exhibit an infinite sequence of chaotic Mixmaster oscillations when δ > 0.