On the locality of the no hair conjection and the measure of the universe

The reently proposed proof by Jensen and Stein-Schabes of the No Hair Theorem for inhomogeneous spacetimes is analyzed, putting a special emphasis on the asymptotic behavior of the shear and curvature. It is concluded that the theorem only holds locally, and the minimum size a region should be is estimated in order for it to inflate. The assumptions used in the theorem are discussed in detail. The last section speculates about the possible measure of the set of spacetimes that would undergo inflation.