Inflation for Bianchi type IX models

The influence of inflation on the initial (i.e., at Planck’s epoch) large anisotropy of the Universe is studied. To this end we consider a more general metric than the isotropic one: the locally rotationally symmetric Bianchi type IX metric. We find, then, a large set of initial conditions of intrinsic curvature and shear allowing an inflationary epoch that make the anisotropy negligible. These are not trivial because of the nonlinearity of Einstein’s equations.