메뉴 건너뛰기




Volumn 21, Issue 15, 2004, Pages 3733-3753

Spherically symmetric quantum geometry: States and basic operators

Author keywords

[No Author keywords available]

Indexed keywords


EID: 4043118292     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/21/15/008     Document Type: Article
Times cited : (132)

References (64)
  • 1
    • 84943165863 scopus 로고    scopus 로고
    • Loop quantum gravity
    • Rovelli C 1998 Loop quantum gravity Living Rev. Rel. 11 http://www.livingreviews.org/Articles/Volume1/1998-Irovelli
    • (1998) Living Rev. Rel. , vol.1 , pp. 1
    • Rovelli, C.1
  • 4
    • 0036273244 scopus 로고    scopus 로고
    • Isotropic loop quantum cosmology
    • Bojowald M 2002 Isotropic loop quantum cosmology Class. Quantum Grav. 19 2717-41
    • (2002) Class. Quantum Grav. , vol.19 , pp. 2717-2741
    • Bojowald, M.1
  • 5
    • 17544403102 scopus 로고    scopus 로고
    • Absence of a singularity in loop quantum cosmology
    • Bojowald M 2001 Absence of a singularity in loop quantum cosmology Phys. Rev. Lett. 86 5227-30
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 5227-5230
    • Bojowald, M.1
  • 6
    • 0035538316 scopus 로고    scopus 로고
    • The semiclassical limit of loop quantum cosmology
    • Bojowald M 2001 The semiclassical limit of loop quantum cosmology Class. Quantum Grav. 18 L109-16
    • (2001) Class. Quantum Grav. , vol.18
    • Bojowald, M.1
  • 7
    • 0038504450 scopus 로고    scopus 로고
    • Homogeneous loop quantum cosmology
    • Bojowald M 2003 Homogeneous loop quantum cosmology Class. Quantum Grav. 20 2595-615
    • (2003) Class. Quantum Grav. , vol.20 , pp. 2595-2615
    • Bojowald, M.1
  • 8
    • 1342268365 scopus 로고    scopus 로고
    • Homogeneous loop quantum cosmology: The role of the spin connection
    • Bojowald M, Date G and Vandersloot K 2004 Homogeneous loop quantum cosmology: the role of the spin connection Class. Quantum Grav. 21 1253-78
    • (2004) Class. Quantum Grav. , vol.21 , pp. 1253-1278
    • Bojowald, M.1    Date, G.2    Vandersloot, K.3
  • 9
    • 1642632719 scopus 로고    scopus 로고
    • Quantum suppression of the generic chaotic behavior close to cosmological singularities
    • Bojowald M and Date G 2004 Quantum suppression of the generic chaotic behavior close to cosmological singularities Phys. Rev. Lett. 92 071302
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 071302
    • Bojowald, M.1    Date, G.2
  • 10
    • 3242731312 scopus 로고    scopus 로고
    • The Bianchi IX model in loop quantum cosmology
    • Preprint gr-qc/0404039
    • Bojowald M, Date G and Hossain G M 2004 The Bianchi IX model in loop quantum cosmology Class. Quantum Grav. 21 3541-69 (Preprint gr-qc/0404039)
    • (2004) Class. Quantum Grav. , vol.21 , pp. 3541-3569
    • Bojowald, M.1    Date, G.2    Hossain, G.M.3
  • 11
    • 13644272552 scopus 로고
    • Canonical quantization of spherically symmetric gravity in Ashtekar's self-dual representation
    • Thiemann T and Kastrup H A 1993 Canonical quantization of spherically symmetric gravity in Ashtekar's self-dual representation Nucl. Phys. B 399 211-58
    • (1993) Nucl. Phys. B , vol.399 , pp. 211-258
    • Thiemann, T.1    Kastrup, H.A.2
  • 12
    • 0001654022 scopus 로고
    • Geometrodynamics of Schwarzschild black holes
    • Kuchař K V 1994 Geometrodynamics of Schwarzschild black holes Phys. Rev. D 50 3961-81
    • (1994) Phys. Rev. D , vol.50 , pp. 3961-3981
    • Kuchař, K.V.1
  • 13
    • 0001610162 scopus 로고
    • Spherically symmetric gravity as a completely integrable system
    • Kastrup H A and Thiemann T 1994 Spherically symmetric gravity as a completely integrable system Nucl. Phys. B 425 665-86
    • (1994) Nucl. Phys. B , vol.425 , pp. 665-686
    • Kastrup, H.A.1    Thiemann, T.2
  • 14
    • 0000735799 scopus 로고
    • Canonical quantization of cylindrical gravitational waves
    • Kuchař V 1971 Canonical quantization of cylindrical gravitational waves Phys. Rev. D 4 955-86
    • (1971) Phys. Rev. D , vol.4 , pp. 955-986
    • Kuchař, V.1
  • 15
    • 0030362939 scopus 로고    scopus 로고
    • Probing quantum gravity through exactly soluble midi-superspaces. I
    • Ashtekar A and Pierri M 1996 Probing quantum gravity through exactly soluble midi-superspaces. I J. Math. Phys. 37 6250-70
    • (1996) J. Math. Phys. , vol.37 , pp. 6250-6270
    • Ashtekar, A.1    Pierri, M.2
  • 16
    • 0036003062 scopus 로고    scopus 로고
    • Probing quantum general relativity through exactly soluble midi-superspaces. II: Polarized Gowdy models
    • Pierri M 2002 Probing quantum general relativity through exactly soluble midi-superspaces. II: polarized Gowdy models Int. J. Mod. Phys. D 11135
    • (2002) Int. J. Mod. Phys. D , vol.11 , pp. 135
    • Pierri, M.1
  • 17
    • 0000905109 scopus 로고    scopus 로고
    • Large quantum gravity effects: Unexpected limitations of the classical theory
    • Ashtekar A 1996 Large quantum gravity effects: unexpected limitations of the classical theory Phys. Rev. Lett. 77 4864-7
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 4864-4867
    • Ashtekar, A.1
  • 18
    • 0034614287 scopus 로고    scopus 로고
    • On the metric operator for quantum cylindrical waves
    • Varadarajan M 2000 On the metric operator for quantum cylindrical waves Class. Quantum Grav. 17 189-99
    • (2000) Class. Quantum Grav. , vol.17 , pp. 189-199
    • Varadarajan, M.1
  • 19
    • 0040362501 scopus 로고    scopus 로고
    • Large quantum gravity effects: Cylindrical waves in four dimensions
    • Angulo M E and Mena Marugán G A 2000 Large quantum gravity effects: cylindrical waves in four dimensions Int. J. Mod. Phys. D 9 669-86
    • (2000) Int. J. Mod. Phys. D , vol.9 , pp. 669-686
    • Angulo, M.E.1    Mena Marugán, G.A.2
  • 21
    • 21344489122 scopus 로고
    • Physical observables for plane gravitational waves
    • Neville D 1993 Physical observables for plane gravitational waves Class. Quantum Grav. 10 2223-39
    • (1993) Class. Quantum Grav. , vol.10 , pp. 2223-2239
    • Neville, D.1
  • 22
    • 1542525125 scopus 로고    scopus 로고
    • Quantization of pure gravitational plane waves
    • Mena Marugán G A and Montejo M 1998 Quantization of pure gravitational plane waves Phys. Rev. D 58 104017
    • (1998) Phys. Rev. D , vol.58 , pp. 104017
    • Mena Marugán, G.A.1    Montejo, M.2
  • 23
    • 0001200364 scopus 로고    scopus 로고
    • Canonical quantization of the Gowdy model
    • Mena Marugán G 1997 Canonical quantization of the Gowdy model Phys. Rev. D 56 908-19
    • (1997) Phys. Rev. D , vol.56 , pp. 908-919
    • Mena Marugán, G.1
  • 26
    • 0002153071 scopus 로고    scopus 로고
    • Canonical quantization of cylindrical gravitational waves with two polarizations
    • Korotkin D and Samtleben H 1998 Canonical quantization of cylindrical gravitational waves with two polarizations Phys. Rev. Lett. 80 14-7
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 14-17
    • Korotkin, D.1    Samtleben, H.2
  • 27
    • 0142231878 scopus 로고    scopus 로고
    • Dimensionally reduced gravity theories are asymptotically safe
    • Niedermaier M 2003 Dimensionally reduced gravity theories are asymptotically safe Nucl. Phys. B 673 131-69
    • (2003) Nucl. Phys. B , vol.673 , pp. 131-169
    • Niedermaier, M.1
  • 29
    • 0000124884 scopus 로고
    • Two-dimensional gravity and nonlinear gauge theory
    • Ikeda N 1994 Two-dimensional gravity and nonlinear gauge theory Ann. Phys. 235 435-64
    • (1994) Ann. Phys. , vol.235 , pp. 435-464
    • Ikeda, N.1
  • 30
    • 0003085097 scopus 로고
    • Poisson structure induced (topological) field theories
    • Schaller P and Strobl T 1994 Poisson structure induced (topological) field theories Mod. Phys. Lett. A 9 3129-36
    • (1994) Mod. Phys. Lett. A , vol.9 , pp. 3129-3136
    • Schaller, P.1    Strobl, T.2
  • 31
    • 0034341298 scopus 로고    scopus 로고
    • Loop quantum cosmology: H. volume operators
    • Bojowald M 2000 Loop quantum cosmology: H. volume operators Class. Quantum Grav. 17 1509-26
    • (2000) Class. Quantum Grav. , vol.17 , pp. 1509-1526
    • Bojowald, M.1
  • 32
    • 0032399747 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD)
    • Thiemann T 1998 Quantum spin dynamics (QSD) Class. Quantum Grav. 15 839-73
    • (1998) Class. Quantum Grav. , vol.15 , pp. 839-873
    • Thiemann, T.1
  • 33
    • 0242382534 scopus 로고    scopus 로고
    • Non-minimal couplings, quantum geometry and black hole entropy
    • Ashtekar A and Corichi A 2003 Non-minimal couplings, quantum geometry and black hole entropy Class. Quantum Grav. 20 4473-84
    • (2003) Class. Quantum Grav. , vol.20 , pp. 4473-4484
    • Ashtekar, A.1    Corichi, A.2
  • 35
    • 21844520846 scopus 로고
    • Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
    • Ashtekar A, Lewandowski J, Marolf D, Mour ao J and Thiemann T 1995 Quantization of diffeomorphism invariant theories of connections with local degrees of freedom J. Math. Phys. 36 6456-93
    • (1995) J. Math. Phys. , vol.36 , pp. 6456-6493
    • Ashtekar, A.1    Lewandowski, J.2    Marolf, D.3    Mour Ao, J.4    Thiemann, T.5
  • 38
    • 0001896102 scopus 로고    scopus 로고
    • On symmetric gauge fields for arbitrary gauge and symmetry groups
    • Brodbeck O 1996 On symmetric gauge fields for arbitrary gauge and symmetry groups Helv. Phys. Acta 69 321-4
    • (1996) Helv. Phys. Acta , vol.69 , pp. 321-324
    • Brodbeck, O.1
  • 39
    • 0032361785 scopus 로고    scopus 로고
    • Kinematical Hubert spaces for fermionic and Higgs quantum field theories
    • Thiemann T 1998 Kinematical Hubert spaces for fermionic and Higgs quantum field theories Class. Quantum Grav. 15 1487-512
    • (1998) Class. Quantum Grav. , vol.15 , pp. 1487-1512
    • Thiemann, T.1
  • 41
    • 0034336175 scopus 로고    scopus 로고
    • Symmetry reduction for quantized diffeomorphism invariant theories of connections
    • Bojowald M and Kastrup H A 2000 Symmetry reduction for quantized diffeomorphism invariant theories of connections Class. Quantum Grav. 17 3009-43
    • (2000) Class. Quantum Grav. , vol.17 , pp. 3009-3043
    • Bojowald, M.1    Kastrup, H.A.2
  • 43
    • 0242298648 scopus 로고    scopus 로고
    • Preprint gr-qc/0207111
    • Sahlmann H 2002 Some comments on the representation theory of the algebra underlying loop quantum gravity Preprint gr-qc/0207111 Sahlmann H 2002 When do measures on the space of connections support the triad operators of loop quantum gravity? Preprint gr-qc/0207112 Sahlmann H and Thiemann T 2003 On the superselection theory of the Weyl algebra for diffeomorphism invariant quantum gauge theories Preprint gr-qc/0302090 Sahlmann H and Thiemann T 2003 Irreducibility of the Ashtekar-Isham-Lewandowski representation Preprint gr-qc/0303074 Okolow A and Lewandowski J 2003 Diffeomorphism covariant representations of the holonomy-flux star-algebra Class. Quantum Grav. 20 3543-68
    • (2002) Some Comments on the Representation Theory of the Algebra Underlying Loop Quantum Gravity
    • Sahlmann, H.1
  • 44
    • 0242298648 scopus 로고    scopus 로고
    • Preprint gr-qc/0207112
    • Sahlmann H 2002 Some comments on the representation theory of the algebra underlying loop quantum gravity Preprint gr-qc/0207111 Sahlmann H 2002 When do measures on the space of connections support the triad operators of loop quantum gravity? Preprint gr-qc/0207112 Sahlmann H and Thiemann T 2003 On the superselection theory of the Weyl algebra for diffeomorphism invariant quantum gauge theories Preprint gr-qc/0302090 Sahlmann H and Thiemann T 2003 Irreducibility of the Ashtekar-Isham-Lewandowski representation Preprint gr-qc/0303074 Okolow A and Lewandowski J 2003 Diffeomorphism covariant representations of the holonomy-flux star-algebra Class. Quantum Grav. 20 3543-68
    • (2002) When Do Measures on the Space of Connections Support the Triad Operators of Loop Quantum Gravity?
    • Sahlmann, H.1
  • 45
    • 0242298648 scopus 로고    scopus 로고
    • Preprint gr-qc/0302090
    • Sahlmann H 2002 Some comments on the representation theory of the algebra underlying loop quantum gravity Preprint gr-qc/0207111 Sahlmann H 2002 When do measures on the space of connections support the triad operators of loop quantum gravity? Preprint gr-qc/0207112 Sahlmann H and Thiemann T 2003 On the superselection theory of the Weyl algebra for diffeomorphism invariant quantum gauge theories Preprint gr-qc/0302090 Sahlmann H and Thiemann T 2003 Irreducibility of the Ashtekar-Isham-Lewandowski representation Preprint gr-qc/0303074 Okolow A and Lewandowski J 2003 Diffeomorphism covariant representations of the holonomy-flux star-algebra Class. Quantum Grav. 20 3543-68
    • (2003) On the Superselection Theory of the Weyl Algebra for Diffeomorphism Invariant Quantum Gauge Theories
    • Sahlmann, H.1    Thiemann, T.2
  • 46
    • 0242298648 scopus 로고    scopus 로고
    • Preprint gr-qc/0303074
    • Sahlmann H 2002 Some comments on the representation theory of the algebra underlying loop quantum gravity Preprint gr-qc/0207111 Sahlmann H 2002 When do measures on the space of connections support the triad operators of loop quantum gravity? Preprint gr-qc/0207112 Sahlmann H and Thiemann T 2003 On the superselection theory of the Weyl algebra for diffeomorphism invariant quantum gauge theories Preprint gr-qc/0302090 Sahlmann H and Thiemann T 2003 Irreducibility of the Ashtekar-Isham-Lewandowski representation Preprint gr-qc/0303074 Okolow A and Lewandowski J 2003 Diffeomorphism covariant representations of the holonomy-flux star-algebra Class. Quantum Grav. 20 3543-68
    • (2003) Irreducibility of the Ashtekar-Isham-Lewandowski Representation
    • Sahlmann, H.1    Thiemann, T.2
  • 47
    • 0242298648 scopus 로고    scopus 로고
    • Diffeomorphism covariant representations of the holonomy-flux star-algebra
    • Sahlmann H 2002 Some comments on the representation theory of the algebra underlying loop quantum gravity Preprint gr-qc/0207111 Sahlmann H 2002 When do measures on the space of connections support the triad operators of loop quantum gravity? Preprint gr-qc/0207112 Sahlmann H and Thiemann T 2003 On the superselection theory of the Weyl algebra for diffeomorphism invariant quantum gauge theories Preprint gr-qc/0302090 Sahlmann H and Thiemann T 2003 Irreducibility of the Ashtekar-Isham-Lewandowski representation Preprint gr-qc/0303074 Okolow A and Lewandowski J 2003 Diffeomorphism covariant representations of the holonomy-flux star-algebra Class. Quantum Grav. 20 3543-68
    • (2003) Class. Quantum Grav. , vol.20 , pp. 3543-3568
    • Okolow, A.1    Lewandowski, J.2
  • 48
  • 50
    • 33845708878 scopus 로고
    • Asymptotically flat radiative space-times with boost-rotation symmetry: The general structure
    • Bicák J and Schmidt B 1989 Asymptotically flat radiative space-times with boost-rotation symmetry: the general structure Phys. Rev. D 40 1827-53
    • (1989) Phys. Rev. D , vol.40 , pp. 1827-1853
    • Bicák, J.1    Schmidt, B.2
  • 51
    • 4243237345 scopus 로고    scopus 로고
    • Inverse scale factor in isotropic quantum geometry
    • Bojowald M 2001 Inverse scale factor in isotropic quantum geometry Phys. Rev. D 64 084018
    • (2001) Phys. Rev. D , vol.64 , pp. 084018
    • Bojowald, M.1
  • 52
    • 0037101275 scopus 로고    scopus 로고
    • Gravitons from a loop representation of linearized gravity
    • Varadarajan M 2002 Gravitons from a loop representation of linearized gravity Phys. Rev. D 66 024017
    • (2002) Phys. Rev. D , vol.66 , pp. 024017
    • Varadarajan, M.1
  • 55
    • 0032366706 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD) II: The kernel of the Wheeler-DeWitt constraint operator
    • Thiemann T 1998 Quantum spin dynamics (QSD) II: The kernel of the Wheeler-DeWitt constraint operator Class. Quantum Grav. 15 875-905
    • (1998) Class. Quantum Grav. , vol.15 , pp. 875-905
    • Thiemann, T.1
  • 56
    • 0032367604 scopus 로고    scopus 로고
    • QSD III: Quantum constraint algebra and physical scalar product in quantum general relativity
    • Thiemann T 1998 QSD III: Quantum constraint algebra and physical scalar product in quantum general relativity Class. Quantum Grav. 15 1207-47
    • (1998) Class. Quantum Grav. , vol.15 , pp. 1207-1247
    • Thiemann, T.1
  • 57
    • 0032382623 scopus 로고    scopus 로고
    • Loop constraints: A habitat and their algebra
    • Lewandowski J and Marolf D 1998 Loop constraints: a habitat and their algebra Int. J. Mod. Phys. D 7 299-330
    • (1998) Int. J. Mod. Phys. D , vol.7 , pp. 299-330
    • Lewandowski, J.1    Marolf, D.2
  • 58
    • 0009152914 scopus 로고    scopus 로고
    • On the consistency of the constraint algebra in spin network quantum gravity
    • Gambini R, Lewandowski J, Marolf D and Pullin J 1998 On the consistency of the constraint algebra in spin network quantum gravity Int. J. Mod. Phys. D 7 97-109
    • (1998) Int. J. Mod. Phys. D , vol.7 , pp. 97-109
    • Gambini, R.1    Lewandowski, J.2    Marolf, D.3    Pullin, J.4
  • 60
    • 0035833231 scopus 로고    scopus 로고
    • Coherent states for canonical quantum general relativity and the infinite tensor product extension
    • Sahlmann H, Thiemann T and Winkler O 2001 Coherent states for canonical quantum general relativity and the infinite tensor product extension Nucl. Phys. B 606 401-40
    • (2001) Nucl. Phys. B , vol.606 , pp. 401-440
    • Sahlmann, H.1    Thiemann, T.2    Winkler, O.3
  • 61
    • 0035890657 scopus 로고    scopus 로고
    • Photons from quantized electric flux representations
    • Varadarajan M 2001 Photons from quantized electric flux representations Phys. Rev. D 64 104003
    • (2001) Phys. Rev. D , vol.64 , pp. 104003
    • Varadarajan, M.1
  • 64
    • 0032334342 scopus 로고    scopus 로고
    • Quantum theory of geometry: III. Non-commutativity of Riemannian structures
    • Ashtekar A, Corichi A and Zapata J 1998 Quantum theory of geometry: III. Non-commutativity of Riemannian structures Class. Quantum Grav. 15 2955-72
    • (1998) Class. Quantum Grav. , vol.15 , pp. 2955-2972
    • Ashtekar, A.1    Corichi, A.2    Zapata, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.