Chapter

Quantization of black holes

Claus Kiefer

in Quantum Gravity

Published in print April 2012 | ISBN: 9780199585205
Published online May 2012 | e-ISBN: 9780191739378 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199585205.003.0007

Series: International Series of Monographs on Physics

Quantization of black holes

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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

Chapter.  24549 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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