Quantum Cosmology

Details Quantum Cosmology Quantum Cosmology

2008-04-04

arxiv.org/abs/0804.0672v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, 9 figures, contribution to "Beyond the Big Bang", ed. by R. Vaas (Springer 2008); typos corrected, reference added

Scientific paper

We give an introduction into quantum cosmology with emphasis on its conceptual parts. After a general motivation we review the formalism of canonical quantum gravity on which discussions of quantum cosmology are usually based. We then present the minisuperspace Wheeler--DeWitt equation and elaborate on the problem of time, the imposition of boundary conditions, the semiclassical approximation, the origin of irreversibility, and singularity avoidance. Restriction is made to quantum geometrodynamics; loop quantum gravity and string theory are discussed in other contributions to this volume.

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