Quantization of black holes
This chapter considers one of the main applications of quantum gravity - the quantization of black holes. Attention is mostly restricted to the simplest case of Schwarzschild black holes. Central concepts are Hawking radiation and Bekenstein-Hawking entropy. After a review of black-hole thermodynamics and Hawking radiation, the canonical quantization of the Schwarzschild black hole is presented and explicit expressions for the quantum states are given. This is followed by a discussion of black-hole spectroscopy and entropy. Further sections are on quantum gravitational collapse and the Lemaitre-Tolman-Bondi (LTB) model. The final sections discuss the information-loss problem and primordial black holes. The latter could provide the key for an observational test of quantum gravity.
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