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In the loop quantum gravity context, there have been numerous proposals to quantize the reduced phase space of a black hole, and develop a classical effective description for its interior which eventually resolves the singularity.
1902
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1904
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K. Liegener and P. Singh, SU(2) gauge invariant bounce from loop quantum geometry. arXiv:1906.02759
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A. Ashtekar, T. Pawłowski and P. Singh, Quantum Nature of the Big Bang: Improved dynamics, Phys. Rev. D 74
2006
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M. Bojowald and R. Swiderski, Spherically symmetric quantum geometry: Hamiltonian constraint, Class. Quant. Grav. 23
2006
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2006
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L. Modesto, Loop quantum black hole, Class. Quant. Grav. 23
2006
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L. Modesto, The Kantowski-Sachs space-time in loop quantum gravity, Int. J. Theor. Phys. 45
R. Gambini and J. Pullin, Loop quantization of the Schwarzschild black hole, Phys. Rev. Lett. 110
2013
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E. Alesci and F. Cianfrani, Quantum-Reduced Loop Gravity: Cosmology, Phys. Rev. D 87
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R. Gambini, J. Olmedo and J. Pullin, Quantum black holes in Loop Quantum Gravity, Class. Quant. Grav. 31
2014
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E. Alesci, M. Assanioussi and J. Lewandowski, Curvature operator for loop quantum gravity, Phys. Rev. D 89
2014
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R. Gambini and J. Pullin, An introduction to spherically symmetric loop quantum gravity black holes, AIP Conf. Proc. 1647
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R. Gambini, E. M. Capurro and J. Pullin, Quantum spacetime of a charged black hole, Phys. Rev. D 91
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2006
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T. Thiemann, Modern Canonical Quantum General Relativity, Cambridge University Press (2007)
2007
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M. Campiglia, R. Gambini and J. Pullin, Loop quantization of spherically symmetric midi-superspaces, Class. Quant. Grav. 24
2007
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C. G. Boehmer and K. Vandersloot, Loop quantum dynamics of Schwarzschild interior, Phys. Rev. D 76
2007
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E. Livine and S. Speziale, A new spinfoam vertex for quantum gravity, Phys. Rev. D 76
2007
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K. Giesel, T. Thiemann, Algebraic Quantum Gravity (AQG) I. Conceptual Setup, Class.Quant.Grav. 24
2007
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K. Giesel, T. Thiemann, Algebraic Quantum Gravity (AQG) II. Semiclassical Analysis, Class.Quant.Grav. 24
2007
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2015
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E. Alesci, M. Assanioussi, J. Lewandowski and I. Mäkinen, Hamiltonian operator for loop quantum gravity coupled to a scalar field, Phys. Rev. D 91
2015
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M. Assanioussi, J. Lewandowski and I. Mäkinen, New scalar constraint operator for loop quantum gravity, Phys. Rev. D 92
2015
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R. Gambini, J. Olmedo and J. Pullin, Schrödinger-like quantum dynamics in loop quantized black holes, Int. J. Mod. Phys. D 25
2016
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A. Corichi and P. Singh, Loop quantum dynamics of Schwarzschild interior revisited, Class. Quant. Grav. 33
2016
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A. Zipfel and T. Thiemann. Stable coherent States. Phys rev. D
2016
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J. Olmedo, S. Saini and P. Singh, From black holes to white holes: a quantum gravitational symmetric bounce, Class. Quant. Grav. 34
2017
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J. Ben Achour, S. Brahma and A. Marciano, Spherically symmetric sector of self dual Ashtekar gravity coupled to matter: Anomaly-free algebra of constraints with holonomy corrections, Phys. Rev. D 96
2017
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A. Ashtekar, J. Olmedo and P. Singh, Quantum extension of the Kruskal spacetime, Phys. Rev. D 98
2018
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M. Bojowald and S. Brahma, Signature change in two-dimensional black-hole models of loop quantum gravity, Phys. Rev. D 98
2018
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M. Protter and A. DeBenedictis, Loop Quantum Corrected Einstein Yang-Mills Black Holes, Phys. Rev. D 97
2018
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M. Bojowald, S. Brahma and D. h. Yeom, Effective line elements and black-hole models in canonical loop quantum gravity, Phys. Rev. D 98
2018
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J. Ben Achour, F. Lamy, H. Liu and K. Noui, Polymer Schwarzschild black hole: An effective metric, EPL 123
2018
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M. Assanioussi, A. Dapor, K. Liegener and T. Pawłowski, Emergent de Sitter epoch of the quantum Cosmos, Phys. Rev. Lett. 121
2018
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A. Dapor and K. Liegener, Cosmological Effective Hamiltonian from full Loop Quantum Gravity, Phys. Lett. B 785
2018
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A. Dapor and K. Liegener, Cosmological Coherent State Expectation Values in LQG I. Isotropic Kinematics, Class. Quant. Grav. 35
2018
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M. Assanioussi, Polymer quantization of connection theories: Graph coherent states, Phys. Rev. D 98
2018
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J. Ben Achour and S. Brahma, Covariance in self dual inhomogeneous models of effective quantum geometry: Spherical symmetry and Gowdy systems, Phys. Rev. D 97
2018
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J. Ben Achour, F. Lamy, H. Liu and K. Noui, Non-singular black holes and the Limiting Curvature Mechanism: A Hamiltonian perspective, JCAP 1805
2018
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E. Alesci, S. Bahrami and D. Pranzetti, Quantum evolution of black hole initial data sets: Foundations, Phys. Rev. D 98
2018
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T. Lang, K. Liegener, T. Thiemann, Hamiltonian Renormalisation I: Derivation from Osterwalder-Schrader Reconstruction, Class. Quant. Grav. 35
2018
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B. Bahr, G Rabuffo, S. Steinahus. Renormalization of symmetry restricted spin foam models with curvature in the asymptotic regime. Phys. Rev. D 98
2018
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M. Assanioussi, A. Dapor, K. Liegener and T. Pawłowski, Emergent de Sitter epoch of the Loop Quantum Cosmos: a detailed analysis, Phys. Rev. D 100
2019
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