Loop quantum cosmology: III. Wheeler-DeWitt operators

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Within the framework of loop quantum cosmology anomaly-free quantizations of the Hamiltonian constraint for Bianchi class A, locally rotationally symmetric and isotropic models are given. Basic ideas of the construction in (non-symmetric) loop quantum gravity can be used, but there are also further inputs because the special structure of symmetric models has to be respected by operators. In particular, the basic building blocks of the homogeneous models are point holonomies rather than holonomies necessitating a new regularization procedure. In this respect, our construction is also applicable for other (non-homogeneous) symmetric models, e.g. the spherically symmetric one.

Original languageEnglish (US)
Pages (from-to)1055-1069
Number of pages15
JournalClassical and Quantum Gravity
Issue number6
StatePublished - Mar 21 2001

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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