  We review recent results concerning the spherically symmetric Einstein-scalar
field system with positive cosmological constant. We do so by comparing with
the classical results of Christodoulou concerning the asymptotically flat case
(vanishing cosmological constant) and by discussing some of the issues which
have emerged since the publication of our main results. Concerning the positive
cosmological constant case, we also sketch an alternative proof of global in
(Bondi) time existence, based on energy estimates, which is presumably more
flexible and, consequently, amenable to generalizations; other potential
improvements and generalizations of our main results are also discussed.
