Quantum Gravitational Collapse in the Lemaitre-Tolman-Bondi Model with a Positive Cosmological Constant

Abstract

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.

17 pages, published version

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Cited by in corpus (8)

• Quantization of Midisuperspace Models
• Quantum gravitational correction to the Hawking temperature from the Lemaitre-Tolman-Bondi model
• Thermodynamics of multi-horizon spacetimes
• Thermal and nonthermal scaling of the Casimir-Polder interaction in a black hole spacetime
• Canonical Quantization of Spherically Symmetric Dust Collapse
• Tunneling during Quantum Collapse in AdS Spacetime
• Infrared signatures of quantum bounce in a minisuperspace analysis of Lema\^ıtre-Tolman-Bondi dust collapse
• Phenomenological constraints on Lemaitre-Tolman-Bondi cosmological inhomogeneities from solar system dynamics