Transition of a Kantowski–Sachs cosmological model into an inflationary era

An empty Kantowski–Sachs universe model with a cosmological constant is found. It emerges from a pancake singularity at t=0. If the cosmological constant is of the same magnitude as that induced by a GUT vacuum phase transition, this universe enters an exponentially expanding era at the GUT time tG=1,0⋅10−35 sec. The universe then isotropizes rapidly, and the shear diminishes by a factor of 10−56 if this inflationary era lasts for t1=1,3⋅10−33 sec, as is the case in Guth’s inflationary universe model.