  Previous papers dealt with the quantization of the Lemaitre-Tolman-Bondi
(LTB) model for vanishing cosmological constant $\Lambda$. Here we extend the
analysis to the case $\Lambda >0$. Our main goal is to present solutions of the
Wheeler-DeWitt equation, to give their interpretation, and to derive Hawking
radiation from them. We restrict ourselves to a discussion of those points that
are different from the $\Lambda=0$-case. These have mainly to do with the
occurrence of two horizons.
