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Loop quantum gravity and cosmology are reviewed with an emphasis on evaluating the dynamics, rather than constructing it.
Gauge-invariant cosmological perturbations
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Loop Space Representation of Quantum General Relativity
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Cosmological perturbations and the physical meaning of gauge invariant variables
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The physical Hamiltonian in nonperturbative quantum gravity
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Quantization of Diffeomorphism Invariant Theories of Connections with Local Degrees of Freedom
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Real Ashtekar Variables for Lorentzian Signature Space-Times
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Discreteness of Area and Volume in Quantum Gravity
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Real and Complex Connections for Canonical Gravity
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Time, gravity, and quantum mechanics. In: Time’s arrows today
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Quantum Theory of Geometry II: Volume Operators
Ashtekar, A. and Lewandowski, J. 1998 · 1998
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Quantum Geometry and Black Hole Entropy
Ashtekar, A., Baez, J. C., Corichi, A. and Krasnov, K. 1998 · 1998
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Quantum Black Hole Entropy
Kaul, R. K. and Majumdar, P. 1998 · 1998
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Symmetry Reduction for Quantized Diffeomorphism Invariant Theories of Connections
Bojowald, M. and Kastrup, H. A. 2000 · 2000
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Comparison between quantum and classical dynamics in the effective action formalism
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Trans-Planckian redshifts and the substance of the space-time river, hep-th/0001085
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Mathematical structure of loop quantum cosmology
Ashtekar, A., Bojowald, M. and Lewandowski, J. 2003 · 2003
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Poisson Geometry in Constrained Systems
Bojowald, M. and Strobl, T. 2003 · 2003
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Background independent quantum gravity: A status report
Ashtekar, A. and Lewandowski, J. 2004 · 2004
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Spherically Symmetric Quantum Geometry: States and Basic Operators
Bojowald, M. 2004 · 2004
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Black hole entropy from Quantum Geometry
Domagala, M. and Lewandowski, J. 2004 · 2004
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The Emergent Universe: inflationary cosmology with no singularity
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The Emergent Universe: An Explicit Construction
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On singularity resolution in quantum gravity
Husain, V. and Winkler, O. 2004 · 2004
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Black hole entropy in Loop Quantum Gravity
Meissner, K. A. 2004 · 2004
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Quantum Gravity
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Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology
Singh, P. and Vandersloot, K. 2005 · 2005
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Phase space quantization and Loop Quantum Cosmology: A Wigner function for the Bohr-compactified real line
Fewster, C. and Sahlmann, H. 2008 · 2008
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Polymer Parametrised Field Theory
Laddha, A. and Varadarajan, M. 2008 · 2008
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Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations
Martín-Benito, M., Garay, L. J. and Mena Marugán, G. A. 2008 · 2008
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Gravitational waves from the Big Bounce
Mielczarek, J. 2008 · 2008
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Numerical techniques for solving the quantum constraint equation of generic lattice-refined models in loop quantum cosmology
Nelson, W. and Sakellariadou, M. 2008 · 2008
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Stepping out of Homogeneity in Loop Quantum Cosmology
Rovelli, C. and Vidotto, F. 2008 · 2008
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Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
Ashtekar, A., Pawlowski, T. and Singh, P. 2006 · 2006
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Loop quantum cosmology and inhomogeneities
Bojowald, M. 2006 · 2006
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Singularities in Isotropic Non-Minimal Scalar Field Models
Bojowald, M. and Kagan, M. 2006 · 2006
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Effective Equations of Motion for Quantum Systems
Bojowald, M. and Skirzewski, A. 2006 · 2006
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Perturbative degrees of freedom in loop quantum gravity: Anisotropies
Bojowald, M., Hernández, H. H. and Morales-Técotl, H. A. 2006 · 2006
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Uniform discretizations: a new approach for the quantization of totally constrained systems
Campiglia, M., Di Bartolo, C., Gambini, R. and Pullin, J. 2006 · 2006
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Numerical solutions to lattice-refined models in loop quantum cosmology
Sabharwal, S. and Khanna, G. 2008 · 2008
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Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
Taveras, V. 2008 · 2008
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Loop Quantum Cosmology corrections to inflationary models
Artymowski, M., Lalak, Z. and Szulc, L. 2009 · 2009
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Cosmological footprint of loop quantum gravity
Barrau, A. and Grain, J. 2009 · 2009
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Dilaton Gravity, Poisson Sigma Models and Loop Quantum Gravity
Bojowald, M. and Reyes, J. D. 2009 · 2009
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Effective constraints for relativistic quantum systems
Bojowald, M. and Tsobanjan, A. 2009 · 2009
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Consistent Loop Quantum Cosmology
Bojowald, M. 2009 · 2009
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The gravitational wave background from super-inflation in Loop Quantum Cosmology
Copeland, E. J., Mulryne, D. J., Nunes, N. J. and Shaeri, M. 2009 · 2009
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Hamiltonian formulation of f ( Riemann ) f({\rm Riemann}) theories of gravity, Prog. Theor. Phys
Deruelle, N., Sasaki, M., Sendouda, Y. and Yamauchi, D. 2009 · 2009
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Representations of the Weyl Algebra in Quantum Geometry
Fleischhack, C. 2009 · 2009
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LTB spacetimes in terms of Dirac observables, arXiv:0906.0569
Giesel, K., Tambornino, J. and Thiemann, T. 2009 · 2009
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Ph.D. thesis, University of Warsaw
Puchta, J. 2009 · 2009
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Spherically Symmetric Loop Quantum Gravity: Connections to 2-Dimensional Models and Applications to Gravitational Collapse
Reyes, J. D. 2009 · 2009
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Observational constraints of a power spectrum from super-inflation in Loop Quantum Cosmology, Phys. Rev. D
Shimano, M. and Harada, T. 2009 · 2009
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Bojowald, M. and Calcagni, G., Inflationary observables in loop quantum cosmology, arXiv:1011.2779
2010
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2010
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Bojowald, M. 2010. Canonical Gravity and Applications: Cosmology, Black Holes, and Quantum Gravity
2010
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Fully LQC-corrected propagation of gravitational waves during slow-roll inflation, Phys. Rev. D
Grain, J., Cailleteau, T., Barrau, A. and Gorecki, A. 2010 · 2010
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The Observational Implications of Loop Quantum Cosmology, Phys. Rev. D
Mielczarek, J. 2010 · 2010
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Sahlmann, H. 2010. Loop quantum gravity — a short review, arXiv:1001.4188
2010
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Discreteness Corrections to the Effective Hamiltonian of Isotropic Loop Quantum Cosmology
Banerjee, K. and Date, G. 2005 · 2033
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