Article History

ORIGINAL ARTICLE Publication URI: http://www.livingreviews.org/lrr-2005-11
Title Loop Quantum Cosmology
Author Martin Bojowald
Date accepted 28 October 2005, published 8 December 2005
UPDATE Publication URI: http://www.livingreviews.org/lrr-2008-4
Title Loop Quantum Cosmology
Author Martin Bojowald
Date accepted 26 May 2008, published 2 July 2008
Changes Updated and added 108 new references.

New:

Sect. 3.7 on relational dynamics
Sect. 4.7 on phenomenological higher curvature corrections
Sect. 4.8 on their intuitive meaning
Sect. 4.9 on applications
Sect. 4.13 on phenomenological higher curvature in anisotropic models
Sect. 4.14 bottom paragraph on the BKL picture
Sect. 4.19.1 paragraph
Sect. 4.19.5 on cosmological perturbation theory
Sect. 4.19.6 on equations of state
Sect. 4.19.7 on big bang nucleosynthesis
Sect. 4.20 extended summary
Sect. 5.5 on dynamical refinements of the discreteness scale
Sect. 5.20 on numerical and mathematical quantum cosmology
Sect. 6 on effective theory
Sect. 7.1 two bottom paragraphs on symmetric states
Sect. 9 some updates according to recent progress

Systematic changes:

Sect. 4: consider different types of quantum corrections from loop
quantum gravity: inverse volume and holonomies. Emphasize quantum
back-reaction with reference to new Sect. 6

Sect. 4.17: several changes on inhomogeneous perturbations

Sect. 5.4: several remarks added on possible scale dependence of the
discreteness in Hamiltonian constraint operators as well as new
constructions of operators for closed and open models

Sect. 5.6.2: update of procedure to derive effective equations, with
reference to new Sect. 6

Corrections in Sect. 5.11 on Einstein-Rosen waves