Quantization of Midisuperspace Models Articles uri icon

publication date

  • October 2010

start page

  • 6


  • 13

International Standard Serial Number (ISSN)

  • 2367-3613

Electronic International Standard Serial Number (EISSN)

  • 1433-8351


  • 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.


  • Mathematics
  • Physics


  • midisuperspace; quantization; quantum gravity; loop quantum gravity