Chapter

Quantum cosmology

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/9780199585205.003.0008

Series: International Series of Monographs on Physics

Quantum cosmology

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This chapter considers the second important application of quantum gravity - quantum cosmology. The central concept of minisuperspace is introduced and applied to the quantization of a Friedmann universe. Inhomogeneities are taken into account in a perturbative sense. A central role of this chapter is played by the discussion of boundary conditions, notably the no-boundary proposal by Hartle and Hawking and the tunneling condition by Vilenkin and others; the two proposals are compared in detail. The chapter also contains sections on loop quantum cosmology and singularity avoidance.

Keywords: Quantum cosmology; minisuperspace; perturbations; boundary conditions; no-boundary proposal; tunneling proposal; loop quantum cosmology; singularity avoidance

Chapter.  19001 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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