Quantum gravitational collapse in the Lemaitre–Tolman–Bondi model with a positive cosmological constant

Abstract

Previous papers dealt with the quantization of the Lemaître–Tolman–Bondi (LTB) model for vanishing cosmological constant Λ. Here we extend the analysis to the case Λ > 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 Λ = 0-case. These are mainly to do with the occurrence of two horizons.