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.
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