V. Tapia et Dk. Ross, CONFORMAL 4TH-RANK GRAVITY, NONVANISHING COSMOLOGICAL CONSTANT AND ANISOTROPY, Classical and quantum gravity, 15(1), 1998, pp. 245-249
We show that the recently proposed conformally invariant model for the
gravitational held, based on fourth-rank geometry, is equivalent, in
vacuum, to general relativity with a nonvanishing cosmological constan
t coupled to a Weyl vector field. Recent observational evidence sugges
ts a non-vanishing cosmological constant and an essential anisotropy i
n the large-scale structure of the universe, supporting our model. We
also couple the model to matter in the low-energy regime where the con
formal invariance has been broken.