Quantum gravitational collapse in the Lemaitre-Tolman-Bondi model with a positive cosmological constant. (English) Zbl 1184.83040
Summary: Previous papers dealt with the quantization of the Lemaître-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 are mainly to do with the occurrence of two horizons.
MSC:
83C75 | Space-time singularities, cosmic censorship, etc. |
83C45 | Quantization of the gravitational field |
83F05 | Relativistic cosmology |