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This papers offers a critical discussion on the procedure by which Loop Quantum Cosmology (LQC) is constructed from the full Loop Quantum Gravity (LQG) theory.
Cianfrani F., Montani G., Towards Loop Quantum Gravity without the time gauge,
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Ashtekar A., Lewandowski J., Quantum Theory of Gravity I: Area Operators,
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Ashtekar A., Lewandowski J., Quantum Theory of Geometry II: Volume operators,
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Bojowald M., Kastrup H.A., Quantum Symmetry Reduction for Diffeomorphism Invariant Theories of Connections,
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Ashtekar A., Bojowald M., Lewandowski J., Mathematical structure of loop quantum cosmology,
2003
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Ashtekar A., Lewandowski J., Sahlmann H., Polymer and Fock representations for a Scalar field,
2003
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Rovelli C., Quantum gravity, Cambridge University Press, Cambridge, 2004
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Thiemann T., Modern Canonical Quantum General Relativity, Cambridge University Press, Cambridge, 2006
2006
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Ashtekar A., Pawlowski T., Singh P., Quantum Nature of the Big Bang,
2006
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Ashtekar A., Pawlowski T., Singh P., Quantum Nature of the Big Bang: An Analytical and Numerical Investigation,
2006
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Ashtekar A., Pawlowski T., Singh P., Quantum Nature of the Big Bang: Improved dynamics,
2006
Cianfrani F., Montani G., The Immirzi parameter from an external scalar field,
2009
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Ashtekar A., Wilson-Ewing E., Loop quantum cosmology of Bianchi I models,
2009
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Ashtekar A., Wilson-Ewing E., Loop quantum cosmology of Bianchi type II models,
2009
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M. Bojowald M., Consistent Loop Quantum Cosmology,
2009
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Cianfrani F., Montani G., Shortcomings of the big bounce derivation in loop quantum cosmology,
2010
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Cited alongside, same era.
Lewandowski J., Okolow A., Sahlmann H., Thiemann T., Uniqueness of diffeomorphism invariant states on holonomy-flux algebras,
2006
Cited alongside, same era.
Singh P., Vandersloot K., Vereshchagin G. V., Non-Singular Bouncing Universes in Loop Quantum Cosmology
2006
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2007
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Martin-Benito M., Mena Marugan G. A., Pawlowski T., Loop Quantization of Vacuum Bianchi I Cosmology
2008
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2009
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Cianfrani F., Montani G., Gravity in presence of fermions as a SU(2) gauge theory,
2010
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Haro J., Elizalde E., Loop cosmology: Regularization vs. quantization,
2010
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Wilson-Ewing E., Loop quantum cosmology of Bianchi type IX models,
2010
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2010
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Bianchi E., Rovelli C., Vidotto F., Towards Spinfoam Cosmology,
2010
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Ashtekar A., Henderson A., Sloan D., A Hamiltonian Formulation of the BKL Conjecture,
2011
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