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Quantum GravityThird Edition$
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Claus Kiefer

Print publication date: 2012

Print ISBN-13: 9780199585205

Published to Oxford Scholarship Online: May 2012

DOI: 10.1093/acprof:oso/9780199585205.001.0001

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Quantization of black holes

Quantization of black holes

Chapter:
(p.208) 7 Quantization of black holes
Source:
Quantum Gravity
Author(s):

Claus Kiefer

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199585205.003.0007

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.

Keywords:   Black holes, Hawking radiation, entropy, canonical quantization of black holes, information loss, black-hole spectroscopy, quantum gravitational collapse, LTB model, primordial black holes

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