Quantization of Midisuperspace Models

Details Quantization of Midisuperspace Models Quantization of Midisuperspace Models

2010-10-08

arxiv.org/abs/1010.1637v1

Living Rev.Rel.13:6,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in Living Review in Relativity

Scientific paper

We give a comprehensive review of the quantization of midisuperspace models. Though the main focus of the paper is on quantum aspects, we also provide an introduction to several classical points related to the definition of these models. We cover some important issues, in particular, the use of the principle of symmetric criticality as a very useful tool to obtain the required Hamiltonian formulations. Two main types of reductions are discussed: those involving metrics with two Killing vector fields and spherically symmetric models. We also review the more general models obtained by coupling matter fields to these systems. Throughout the paper we give separate discussions for standard quantizations using geometrodynamical variables and those relying on loop quantum gravity inspired methods.

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