 for more details).Finally, BKL go on to show that the general solution contains the particular solution obtained above for homogeneous models.Substituting the basis vectors for Bianchi Type IX homogeneous space in the space-time metric of this model takes the form
When "c"2 formula_57 "a"2, "b"2, one can ignore "c"2 everywhere except in the term "c"2 "dz"2.