A C-> 1 completion of the Kerr space-time at spacelike infinity including I+ and I-

It is well known that, for asymptotically flat spacetimes, one cannot in ge neral have a smooth differentiable structure at spacelike infinity, i(0). N ormally, one uses direction dependent structures, whose regularity has to m atch the regularity of the (rescaled) metric. The standard C->1-structure a t i(0) ensures sufficient regularity in spacelike directions, but examples show very low regularity on I+ and I-. The alternative C1+-structure shows that both null and spacelike directions may be treated on an equal footing, at the expense of some manageable logarithmic singularities at i(0). In th is paper, we show that the Kerr spacetime may be rescaled and given a struc ture which is C->1 in both null and spacelike directions from i(0).