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We give a comprehensive review of the quantization of midisuperspace models.
Beck, G., “Zur Theorie binärer Gravitationsfelder”, Z. Phys
1925
Earlier work this paper cites.
Einstein, A. and Rosen, N., “On gravitational waves”, J. Franklin. Inst
1937
Earlier work this paper cites.
Misner, C.W., “Feynman quantization of general relativity”, Rev. Mod. Phys
1957
Earlier work this paper cites.
Mostert, P.S., “On a compact Lie group acting on a manifold”, Ann. of Math
1957
Earlier work this paper cites.
Mostert, P.S., “On a compact Lie group acting on a manifold (Errata)”, Ann. of Math
1957
Earlier work this paper cites.
Shale, D., “Linear symmetries of free boson fields”, Trans. Amer. Math. Soc
1962
Earlier work this paper cites.
DeWitt, B.S., “Quantum theory of gravity. I. The canonical theory”, Phys. Rev
1967
Earlier work this paper cites.
DeWitt, B.S., “Quantum theory of gravity. II. The manifestly covariant theory”, Phys. Rev
1967
Earlier work this paper cites.
DeWitt, B.S., “Quantum theory of gravity. III. Applications of the covariant theory”, Phys. Rev
1967
Earlier work this paper cites.
Geroch, R.P., “A method for generating solutions of Einstein’s equations”, J. Math. Phys
1971
Earlier work this paper cites.
Gowdy, R.H., “Gravitational waves in closed universes”, Phys. Rev. Lett
1971
Earlier work this paper cites.
Kuchař, K.V., “Canonical quantization of cylindrical gravitational waves”, Phys. Rev. D
1971
Earlier work this paper cites.
Berger, B.K., Chitre, D.M., Moncrief, V.E. and Nutku, Y., “Hamiltonian formulation of spherically symmetric gravitational fields”, Phys. Rev. D
1972
Earlier work this paper cites.
Geroch, R.P., “A method for generating new solutions of Einstein’s equation. 2”, J. Math. Phys
1972
Earlier work this paper cites.
Misner, C.W., “Minisuperspace”. In Magic Without Magic
1972
Earlier work this paper cites.
Kuchař, K.V., “Canonical Quantization of Gravity”, in Israel, W., ed., Relativity, Astrophysics and Cosmology
1973
Earlier work this paper cites.
Lund, F., “Hamiltonian treatment of the complete vacuum Schwarzschild geometry”, Phys. Rev. D
1973
Earlier work this paper cites.
Misner, C.W., “A minisuperspace example: The Gowdy T 3 T^{3} cosmology”, Phys. Rev. D
1973
Earlier work this paper cites.
Bekenstein, J., “The quantum mass spectrum of the Kerr black hole”, Lett. Nuovo Ciment
1974
Earlier work this paper cites.
Berger, B.K., “Quantum graviton creation in a model universe”, Ann. Phys
1974
Earlier work this paper cites.
Gowdy, R.H., “Vacuum space-times with two parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions”, Ann. Phys
1974
Earlier work this paper cites.
Regge, T. and Teitelboim, C., “Role of surface integrals in the Hamiltonian formulation of general relativity”, Ann. Phys
1974
Earlier work this paper cites.
Berger, B.K., “Quantum cosmology: Exact solution for the Gowdy T 3 T^{3} model”, Phys. Rev. D
1975
Earlier work this paper cites.
Ryan Jr, M.P. and Shepley, L.C., Homogeneous Relativistic Cosmologies
1975
Earlier work this paper cites.
Unruh, W.G., “Notes on black hole evaporation”, Phys. Rev. D
1976
Earlier work this paper cites.
Lapedes, A.S., “Applications of Arnowitt-Deser-Misner quantization of some metrics with at least two parameter isometry groups”, Phys. Rev. D
1977
Earlier work this paper cites.
Gotay, M.J., Nester, J.M. and Hinds, G., “Presymplectic manifolds and the Dirac–Bergmann theory of constraints”, J. Math. Phys
1978
Earlier work this paper cites.
Maison, D., “Are the stationary, axially symmetric Einstein equations completely integrable?”, Phys. Rev. Lett
1978
Earlier work this paper cites.
Singer, I.M., “Some remarks on the Gribov ambiguity”, Comm. Math. Phys
1978
Earlier work this paper cites.
Charach, C., “Electromagnetic Gowdy universe”, Phys. Rev. D
1979
Earlier work this paper cites.
Charach, C. and Malin, S., “A cosmological model with gravitational and scalar waves”, Phys. Rev. D
1979
Earlier work this paper cites.
Jantzen, R.T., “The dynamical degrees of freedom in spatially homogeneous cosmology”, Comm. Math. Phys
1979
Earlier work this paper cites.
Palais, R.S., “The principle of symmetric criticality”, Comm. Math. Phys
1979
Earlier work this paper cites.
Charach, C. and Malin, S., “Cosmological model with gravitational, electromagnetic, and scalar waves”, Phys. Rev. D
1980
Earlier work this paper cites.
Isenberg, J. and Nester, J., “Canonical Gravity”, in Held, A., ed., General Relativity and Gravitation: One Hundred Years after the Birth of Albert Einstein
1980
Earlier work this paper cites.
Carmeli, M., Charach, C. and Malin, S., “Survey of cosmological models with gravitational, scalar and electromagnetic waves”, Phys. Rept
1981
Earlier work this paper cites.
Mitter, P.K. and Viallet, C.M., “On the bundle of connections and the gauge orbit manifold in Yang-Mills theory”, Comm. Math. Phys
1981
Earlier work this paper cites.
Ashtekar, A. and Horowitz, G.T., “On the canonical approach to quantum gravity”, Phys. Rev. D
1982
Earlier work this paper cites.
Carmeli, M., Charach, C. and Feinstein, A., “Inhomogeneous mixmaster universes: Some exact solutions”, Ann. Phys
1983
Earlier work this paper cites.
Berger, B.K., “Quantum effects in the Gowdy T 3 T^{3} cosmology”, Ann. Phys
1984
Earlier work this paper cites.
Hájíček, P., “Spherically symmetric systems of fields and black holes. 2. Apparent horizon in canonical formalism”, Phys. Rev. D
1984
Earlier work this paper cites.
Hájíček, P., “Spherically symmetric systems of fields and black holes. 3. Positivity of energy and of a new type euclidean action”, Phys. Rev. D
1984
Earlier work this paper cites.
Wald, R.M., General Relativity
1984
Earlier work this paper cites.
Hájíček, P., “Spherically symmetric systems of fields and black holes. 4. No room for black hole evaporation in the reduced configuration space?”, Phys. Rev. D
1985
Earlier work this paper cites.
Chandrasekhar, Subrahmanyan, “Cylindrical waves in general relativity”, Proc. Roy. Soc. Lond
1986
Earlier work this paper cites.
Fischer, A.E., “Resolving the singularities in the space of Riemannian geometries”, J. Math. Phys
1986
Earlier work this paper cites.
Moncrief, V., “Reduction of Einstein’s equations for vacuum space-times with spacelike U ( 1 ) U(1) isometry groups”, Ann. Phys
1986
Earlier work this paper cites.
Mukhanov, V.F., “Are black holes quantized?”, JETP Lett
1986
Earlier work this paper cites.
York Jr, J.W., “Black hole thermodynamics and the Euclidean Einstein action”, Phys. Rev. D
1986
Earlier work this paper cites.
Braden, H.W., Whiting, B.F. and York, J.W., “Density of states for the gravitational field in black hole topologies”, Phys. Rev. D
1987
Earlier work this paper cites.
Clarke, C.J.S., “Spherical symmetry does not imply a direct product”, Class. Quantum Grav
1987
Earlier work this paper cites.
Husain, V., “Quantum effects on the singularity of the Gowdy cosmology”, Class. Quant. Grav
1987
Earlier work this paper cites.
Osborn, H., “Renormalization and composite operators in nonlinear sigma models”, Nucl. Phys. B
1987
Earlier work this paper cites.
Samuel, J., “A Lagrangian basis for Ashtekar’s formulation of canonical gravity”, Pramana
1987
Earlier work this paper cites.
Husain, V., “The Weyl tensor and gravitational entropy”, Phys. Rev. D
1988
Earlier work this paper cites.
Jacobson, T. and Smolin, L., “Covariant Action for Ashtekar’s Form of Canonical Gravity”, Class. Quant. Grav
1988
Earlier work this paper cites.
Husain, V. and Smolin, L., “Exactly solvable quantum cosmologies from two Killing field reductions of general relativity”, Nucl. Phys. B
1989
Earlier work this paper cites.
Kuchař, K.V. and Ryan, M.P., “Is minisuperspace quantization valid?: Taub in mixmaster”, Phys. Rev. D
1989
Earlier work this paper cites.
Bengtsson, I., “A new phase for general relativity?”, Class. Quant. Grav
1990
Earlier work this paper cites.
Chruściel, P., “On space-times with U ( 1 ) × U ( 1 ) U(1)\times U(1) symmetric compact Cauchy surfaces”, Ann. Phys
1990
Earlier work this paper cites.
Husain, V. and Pullin, J., “Quantum theory of space-times with one Killing field”, Mod. Phys. Lett. A
1990
Earlier work this paper cites.
Ashtekar, A. and Samuel, J., “Bianchi cosmologies: The Role of spatial topology”, Class. Quantum Grav
1991
Earlier work this paper cites.
McGuigan, M., “The Gowdy cosmology and two-dimensional gravity”, Phys. Rev. D
1991
Earlier work this paper cites.
Torre, C.G., “A complete set of observables for cylindrically symmetric gravitational fields”, Class. Quant. Grav
1991
Earlier work this paper cites.
Bonacina, G., Gamba, A. and Martellini, M., “Interacting Euclidean three-dimensional quantum gravity”, Phys. Rev. D
1992
Earlier work this paper cites.
Callan, C.G., Giddings, S.B., Harvey, J.A. and Strominger, A., “Evanescent black holes”, Phys. Rev. D
1992
Earlier work this paper cites.
Henneaux, M. and Teitelboim, C., Quantization of Gauge Systems
1992
Earlier work this paper cites.
Siegl, R., “Some underlying manifolds of the Schwarzschild solution”, Class. Quantum Grav
1992
Earlier work this paper cites.
Woodhouse, N.M.J., Geometric Quantization
1992
Earlier work this paper cites.
Thiemann, T. and Kastrup, H.A., “Canonical quantization of spherically symmetric gravity in Ashtekar’s selfdual representation”, Nucl. Phys. B
1993
Earlier work this paper cites.
Ashtekar, A. and Lewandowski, J., “Representation theory of analytic holonomy C ⋆ C^{\star} algebras”, in Baez, J.C., ed., Knots and Quantum Gravity
1994
Earlier work this paper cites.
Ashtekar, A. and Varadarajan, M., “A striking property of the gravitational Hamiltonian”, Phys. Rev. D
1994
Earlier work this paper cites.
Borissov, R., “Weave states for plane gravitational waves”, Phys. Rev. D
1994
Earlier work this paper cites.
Husain, V., “Observables for space-times with two Killing field symmetries”, Phys. Rev. D
1994
Earlier work this paper cites.
Kastrup, H.A. and Thiemann, T., “Spherically symmetric gravity as a completely integrable system”, Nucl. Phys. B
1994
Earlier work this paper cites.
Kuchař, K.V., “Geometrodynamics of Schwarzschild black holes”, Phys. Rev. D
1994
Earlier work this paper cites.
Wald, R.M., Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics
1994
Cited alongside, same era.
Berger, B.K., Chruściel, P.T. and Moncrief, V., “On ‘asymptotically flat’ space-times with G 2 G_{2} invariant Cauchy surfaces”, Ann. Phys
1995
Cited alongside, same era.
Brown, J.D. and Kuchař, K.V., “Dust as a standard of space and time in canonical quantum gravity”, Phys. Rev. D
1995
Cited alongside, same era.
Cavaglià, M., de Alfaro, V. and Filippov, A.T., “Hamiltonian formalism for black holes and quantization”, Int. J. Mod. Phys. D
1995
Cited alongside, same era.
Korotkin, D. and Nicolai, H., “An integrable model of quantum gravity”, Phys. Lett. B
1995
Cited alongside, same era.
Barbero G., J.F., Mena Marugán, G.A. and Villaseñor, E.J.S., “Quantum cylindrical waves and sigma models”, Int. J. Mod. Phys. D
2004
Later among the works it cites.
Bojowald, M., “Spherically symmetric quantum geometry: States and basic operators”, Class. Quant. Grav
2004
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Bojowald, M. and Swiderski, R., “The volume operator in spherically symmetric quantum geometry”, Class. Quant. Grav
2004
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Husain, V. and Winkler, O., “On singularity resolution in quantum gravity”, Phys. Rev. D
2004
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Modesto, L., “Disappearance of black hole singularity in quantum gravity”, Phys. Rev. D
2004
Later among the works it cites.
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1995
Cited alongside, same era.
Louko, J. and Whiting, B.F., “Hamiltonian thermodynamics of the Schwarzschild black hole”, Phys. Rev. D
1995
Cited alongside, same era.
Romano, J.D., “Spherically symmetric scalar field collapse: An example of the space-time problem of time”, (1995). [ arXiv:gr-qc/9501015 ]
1995
Cited alongside, same era.
Varadarajan, M., “Classical and quantum geometrodynamics of 2-D vacuum dilatonic black holes”, Phys. Rev. D
1995
Cited alongside, same era.
Varadarajan, M., “Gauge fixing of one Killing field reductions of canonical gravity: The case of asymptotically flat induced two-geometry”, Phys. Rev. D
1995
Cited alongside, same era.
Ashtekar, A., “Large quantum gravity effects: Unforseen limitations of the classical theory”, Phys. Rev. Lett
1996
Cited alongside, same era.
Ashtekar, A. and Pierri, M., “Probing quantum gravity through exactly soluble midi-superspaces. I”, J. Math. Phys
1996
Cited alongside, same era.
2004
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Barbero G., J.F., Garay, I. and Villaseñor, E.J.S., “Exact quantization of Einstein-Rosen waves coupled to massless scalar matter”, Phys. Rev. Lett
2005
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Barbero G., J.F., Mena Marugán, G.A. and Villaseñor, E.J.S., “Asymptotics of regulated field commutators for Einstein-Rosen waves”, J. Math. Phys
2005
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Bojowald, M., “Loop Quantum Cosmology”, Living Rev. Relativity
2005
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Bojowald, M., “Nonsingular black holes and degrees of freedom in quantum gravity”, Phys. Rev. Lett
2005
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Cortez, J. and Mena Marugán, G.A., “Feasibility of a unitary quantum dynamics in the Gowdy T 3 T^{3} cosmological model”, Phys. Rev. D
2005
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Di Bartolo, C., Gambini, R., Porto, R. and Pullin, J., “Dirac-like approach for consistent discretizations of classical constrained theories”, J. Math. Phys
2005
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Di Bartolo, C., Gambini, R. and Pullin, J., “Consistent and mimetic discretizations in general relativity”, J. Math. Phys
2005
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Gambini, R., Ponce, M. and Pullin, J., “Consistent discretizations: the Gowdy spacetimes”, Phys. Rev. D
2005
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Husain, V. and Winkler, O., “Flat slice Hamiltonian formalism for dynamical black holes”, Phys. Rev. D
2005
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Husain, V. and Winkler, O., “Quantum black holes from null expansion operators”, Class. Quant. Grav
2005
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Husain, V. and Winkler, O., “Quantum resolution of black hole singularities”, Class. Quant. Grav
2005
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Kennefick, D., “Einstein versus the Physical Review”, Physics Today
2005
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Ashtekar, A. and Bojowald, M., “Quantum geometry and the Schwarzschild singularity”, Class. Quant. Grav
2006
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Barbero G., J.F., Garay, I. and Villaseñor, E.J.S., “Probing quantized Einstein-Rosen waves with massless scalar matter”, Phys. Rev. D
2006
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Barbero G., J.F., Gómez Vergel, D. and Villaseñor, E.J.S., “Evolution operators for linearly polarized two-Killing cosmological models”, Phys. Rev. D
2006
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Bojowald, M. and Swiderski, R., “Spherically symmetric quantum geometry: Hamiltonian constraint”, Class. Quant. Grav
2006
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Cho, D.H.J. and Varadarajan, M., “Functional evolution of quantum cylindrical waves”, Class. Quant. Grav
2006
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Corichi, A., Cortez, J. and Mena Marugán, G.A., “Quantum Gowdy T 3 T^{3} model: A unitary description”, Phys. Rev. D
2006
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Corichi, A., Cortez, J. and Mena Marugán, G.A., “Unitary evolution in Gowdy cosmology”, Phys. Rev. D
2006
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Corichi, A., Cortez, J., Mena Marugán, G.A. and Velhinho, J.M., “Quantum Gowdy T 3 T^{3} model: A uniqueness result”, Class. Quant. Grav
2006
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Engle, J., “Quantum field theory and its symmetry reduction”, Class. Quant. Grav
2006
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Kiefer, C., Müller-Hill, J. and Vaz, C., “Classical and quantum LTB model for the non-marginal case”, Phys. Rev. D
2006
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Lewandowski, J., Okolow, A., Sahlmann, H. and Thiemann, T., “Uniqueness of diffeomorphism invariant states on holonomy-flux algebras”, Commun. Math. Phys
2006
Later among the works it cites.
Modesto, L., “The Kantowski-Sachs space-time in loop quantum gravity”, Int. J. Theor. Phys
2006
Later among the works it cites.
Modesto, L., “Loop quantum black hole”, Class. Quant. Grav
2006
Later among the works it cites.
Neville, D.E., “The volume operator for singly polarized gravity waves with planar or cylindrical symmetry”, Phys. Rev. D
2006
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Neville, D.E., “The volume operator for spin networks with planar or cylindrical symmetry”, Phys. Rev. D
2006
Later among the works it cites.
Niedermaier, M. and Reuter, M., “The Asymptotic Safety Scenario in Quantum Gravity”, Living Rev. Relativity
2006
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Torre, C.G., “Observables for the polarized Gowdy model”, Class. Quant. Grav
2006
Later among the works it cites.
2007
Later among the works it cites.
2007
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Campiglia, M., Gambini, R. and Pullin, J., “Loop quantization of spherically symmetric midi-superspaces”, Class. Quant. Grav
2007
Later among the works it cites.
2007
Later among the works it cites.
Cortez, J., Mena Marugán, G.A. and Velhinho, J.M., “Uniqueness of the Fock quantization of the Gowdy T 3 T^{3} model”, Phys. Rev. D
2007
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Kiefer, C., Quantum Gravity
2007
Later among the works it cites.
Kiefer, C., Müller-Hill, J., Singh, T.P. and Vaz, C., “Hawking radiation from the quantum Lemaître-Tolman-Bondi model”, Phys. Rev. D
2007
Later among the works it cites.
Modesto, L., “Loop quantum gravity and black hole singularity”, Proceedings of the XVII SIGRAV Conference, September 4 – 7, 2006, (2007). [ arXiv:hep-th/0701239 ]
2007
Later among the works it cites.
Torre, C.G., “Schrödinger representation for the polarized Gowdy model”, Class. Quant. Grav
2007
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2008
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2008
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2008
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2008
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2008
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2008
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Chiou, D., “Phenomenological loop quantum geometry of the Schwarzschild black hole”, Phys. Rev. D
2008
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2008
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2008
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2008
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2008
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Modesto, L., “Black hole interior from loop quantum gravity”, Adv. High Energy Phys
2008
Later among the works it cites.
Modesto, L., “Gravitational collapse in loop quantum gravity”, Int. J. Theor. Phys
2008
Later among the works it cites.
Modesto, L., “Space-time structure of loop quantum black hole”, (2008). [ arXiv:0811.2196 [gr-qc] ]
2008
Later among the works it cites.
2008
Later among the works it cites.
2009
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Fleischhack, C., “Representations of the Weyl algebra in quantum geometry”, Commun. Math. Phys
2009
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2009
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2009
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2009
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2009
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Giulini, D., “The superspace of geometrodynamics”, Gen. Rel. Grav
2009
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2009
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2009
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2009
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Torre, C.G., “Symmetry Reduction of Quasi-Free States”, J. Math. Phys
2009
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Vaz, C., “Signatures of an emergent gravity from black hole entropy”, Gen. Rel. Grav
2009
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Vaz, C. and Wijewardhana, L.C.R., “Spectrum and entropy of AdS black holes”, Phys. Rev. D
2009
Later among the works it cites.
Ashtekar, A., “Some surprising consequences of background independence in canonical quantum gravity”, International LQG Seminar, February 27, 2007, (2007). Online version (accessed 22 January 2010): http://relativity.phys.lsu.edu/ilqgs/ashtekar022707.pdf
2010
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2010
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