Homogeneous Solutions of Quadratic Gravity
  It is believed that soon after the Planck time, Einstein's general relativity
theory should be corrected to an effective quadratic theory. In this work we
present the 3+1 decomposition for the zero vorticity case for arbitrary
spatially homogenous spaces. We specialize for the particular Bianchi $I$
diagonal case. The 3- curvature can be understood as a generalized potential,
and the Bianchi $I$ case is a limiting case where this potential is negligible
to the dynamics. The spirit should be analogous, in some sense to the BKL
solution. In this sense, a better understanding of the Bianchi $I$ case could
shed some light into the general Bianchi case.
