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Volumn 23, Issue 10, 2006, Pages 3491-3516

Perturbative degrees of freedom in loop quantum gravity: Anisotropies

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EID: 33646423534     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/23/10/017     Document Type: Article
Times cited : (28)

References (60)
  • 1
    • 36049055961 scopus 로고
    • Quantum theory of gravity: I. The canonical theory
    • DeWitt B S 1967 Quantum theory of gravity: I. The canonical theory Phys. Rev. 160 1113-48
    • (1967) Phys. Rev. , vol.160 , Issue.5 , pp. 1113-1148
    • Dewitt, B.S.1
  • 2
    • 0242341867 scopus 로고    scopus 로고
    • An introduction to quantum cosmology
    • Wiltshire D L 1996 An introduction to quantum cosmology Cosmology: The Physics of the Universe ed B Robson, N Visvanathan and W S Woolcock (Singapore: World Scientific) pp 473-531 (Preprint gr-qc/0101003)
    • (1996) Cosmology: The Physics of the Universe , pp. 473-531
    • Wiltshire, D.L.1
  • 5
    • 84942866701 scopus 로고    scopus 로고
    • Loop quantum cosmology
    • Bojowald M 2005 Loop quantum cosmology Living Rev. Rel. 8 11
    • (2005) Living Rev. Rel. , vol.8 , pp. 11
    • Bojowald, M.1
  • 6
    • 31644438935 scopus 로고    scopus 로고
    • Degenerate configurations, singularities and the non-Abelian nature of loop quantum gravity
    • Bojowald M 2006 Degenerate configurations, singularities and the non-Abelian nature of loop quantum gravity Class. Quantum Grav. 23 987-1008 (Preprint gr-qc/0508118)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.3 , pp. 987-1008
    • 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 (Preprint gr-qc/0303073)
    • (2003) Class. Quantum Grav. , vol.20 , Issue.13 , 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 (Preprint gr-qc/0311004)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.4 , pp. 1253-1278
    • Bojowald, M.1    Date, G.2    Vandersloot, K.3
  • 9
    • 31644445995 scopus 로고    scopus 로고
    • Quantum geometry and the Schwarzschild singularity
    • Ashtekar A and Bojowald M 2006 Quantum geometry and the Schwarzschild singularity Class. Quantum Grav. 23 391-411 (Preprint gr-qc/0509075)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.2 , pp. 391-411
    • Ashtekar, A.1    Bojowald, M.2
  • 10
    • 0036273244 scopus 로고    scopus 로고
    • Isotropic loop quantum cosmology
    • Bojowald M 2002 Isotropic loop quantum cosmology Class. Quantum Grav. 19 2717-41 (Preprint gr-qc/0202077)
    • (2002) Class. Quantum Grav. , vol.19 , Issue.10 , pp. 2717-2741
    • Bojowald, M.1
  • 11
    • 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 (Preprint gr-qc/0102069)
    • (2001) Phys. Rev. Lett. , vol.86 , Issue.23 , pp. 5227-5230
    • Bojowald, M.1
  • 13
    • 33644584965 scopus 로고
    • New Hamiltonian formulation of general relativity
    • Ashtekar A 1987 New Hamiltonian formulation of general relativity Phys. Rev. D 36 1587-602
    • (1987) Phys. Rev. , vol.36 , Issue.6 , pp. 1587-1602
    • Ashtekar, A.1
  • 14
    • 22144440004 scopus 로고
    • Real Ashtekar variables for Lorentzian signature space-times
    • Barbero G F J 1995 Real Ashtekar variables for Lorentzian signature space-times Phys. Rev. D 51 5507-10 (Preprint gr-qc/9410014)
    • (1995) Phys. Rev. , vol.51 , Issue.10 , pp. 5507-5510
    • Barbero, G.F.J.1
  • 15
    • 0039646461 scopus 로고    scopus 로고
    • Real and complex connections for canonical gravity
    • Immirzi G 1997 Real and complex connections for canonical gravity Class. Quantum Grav. 14 L177-81
    • (1997) Class. Quantum Grav. , vol.14 , Issue.10
    • Immirzi, G.1
  • 16
    • 21844520846 scopus 로고
    • Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
    • Ashtekar A, Lewandowski J, Marolf D, Mourão J and Thiemann T 1995 Quantization of diffeomorphism invariant theories of connections with local degrees of freedom J. Math. Phys. 36 6456-93 (Preprint gr-qc/9504018)
    • (1995) J. Math. Phys. , vol.36 , Issue.11 , pp. 6456-6493
    • Ashtekar, A.1    Lewandowski, J.2    Marolf, D.3    Mourão, J.4    Thiemann, T.5
  • 17
    • 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 (Preprint hep-th/9907042)
    • (2000) Class. Quantum Grav. , vol.17 , Issue.15 , pp. 3009-3043
    • Bojowald, M.1    Kastrup, H.A.2
  • 18
    • 4043118292 scopus 로고    scopus 로고
    • Spherically symmetric quantum geometry: States and basic operators
    • Bojowald M 2004 Spherically symmetric quantum geometry: states and basic operators Class. Quantum Grav. 21 3733-53 (Preprint gr-qc/0407017)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.15 , pp. 3733-3753
    • Bojowald, M.1
  • 19
    • 0035925792 scopus 로고    scopus 로고
    • Loop quantum cosmology: III. Wheeler-DeWitt operators
    • Bojowald M 2001 Loop quantum cosmology: III. Wheeler-DeWitt operators Class. Quantum Grav. 18 1055-70 (Preprint gr-qc/0008052)
    • (2001) Class. Quantum Grav. , vol.18 , Issue.6 , pp. 1055-1070
    • Bojowald, M.1
  • 20
    • 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 (Preprint gr-qc/0105113)
    • (2001) Class. Quantum Grav. , vol.18 , Issue.18
    • Bojowald, M.1
  • 21
    • 0037278308 scopus 로고    scopus 로고
    • Quantum gravity, shadow states, and quantum mechanics
    • Ashtekar A, Fairhurst S and Willis J 2003 Quantum gravity, shadow states, and quantum mechanics Class. Quantum Grav. 20 1031-62 (Preprint gr-qc/0207106)
    • (2003) Class. Quantum Grav. , vol.20 , Issue.6 , pp. 1031-1062
    • Ashtekar, A.1    Fairhurst, S.2    Willis, J.3
  • 22
    • 33646172961 scopus 로고    scopus 로고
    • Quantum theory and its symmetry reduction
    • Engle J 2006 Quantum theory and its symmetry reduction Class. Quantum Grav. 23 2861-93
    • (2006) Class. Quantum Grav. , vol.23 , Issue.9 , pp. 2861-2893
    • Engle, J.1
  • 23
    • 0032369376 scopus 로고    scopus 로고
    • QSD: V. Quantum gravity as the natural regulator of matter quantum field theories
    • Thiemann T 1998 QSD: V. Quantum gravity as the natural regulator of matter quantum field theories Class. Quantum Grav. 15 1281-314 (Preprint gr-qc/9705019)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.5 , pp. 1281-1314
    • Thiemann, T.1
  • 24
    • 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 (Preprint gr-qc/0105067)
    • (2001) Phys. Rev. , vol.64 , Issue.8 , pp. 084018
    • Bojowald, M.1
  • 25
    • 0346040330 scopus 로고    scopus 로고
    • Consistency conditions for fundamentally discrete theories
    • Bojowald M and Date G 2004 Consistency conditions for fundamentally discrete theories Class. Quantum Grav. 21 121-43 (Preprint gr-qc/0307083)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.1 , pp. 121-143
    • Bojowald, M.1    Date, G.2
  • 26
    • 19344375632 scopus 로고    scopus 로고
    • Holographic description of AdS cosmologies
    • Hertog T and Horowitz G T 2005 Holographic description of AdS cosmologies J. High Energy Phys. JHEP04(2005)005 (Preprint hep-th/0503071)
    • (2005) J. High Energy Phys. , vol.2005 , Issue.4 , pp. 005
    • Hertog, T.1    Horowitz, G.T.2
  • 27
    • 27144549827 scopus 로고    scopus 로고
    • Non-singular black holes and degrees of freedom in quantum gravity
    • Bojowald M 2005 Non-singular black holes and degrees of freedom in quantum gravity Phys. Rev. Lett. 95 061301 (Preprint gr-qc/0506128)
    • (2005) Phys. Rev. Lett. , vol.95 , Issue.6 , pp. 061301
    • Bojowald, M.1
  • 28
    • 33244486753 scopus 로고    scopus 로고
    • On (cosmological) singularity avoidance in loop quantum gravity
    • Brunnemann J and Thiemann T 2006 On (cosmological) singularity avoidance in loop quantum gravity Class. Quantum Grav. 23 1395-427 (Preprint gr-qc/0505032)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.5 , pp. 1395-1427
    • Brunnemann, J.1    Thiemann, T.2
  • 29
    • 3042778504 scopus 로고    scopus 로고
    • Big crunch avoidance in k ≤ 1 semi-classical loop quantum cosmology
    • Singh P and Toporensky A 2004 Big crunch avoidance in k ≤ 1 semi-classical loop quantum cosmology Phys. Rev. D 69 104008 (Preprint gr-qc/0312110)
    • (2004) Phys. Rev. , vol.69 , Issue.10 , pp. 104008
    • Singh, P.1    Toporensky, A.2
  • 30
    • 23244442488 scopus 로고    scopus 로고
    • Qualitative approach to semi-classical loop quantum cosmology
    • Vereshchagin G V 2004 Qualitative approach to semi-classical loop quantum cosmology J. Cosmol. Astropart. Phys. JCAP07(2004)013 (Preprint gr-qc/0406108)
    • (2004) J. Cosmol. Astropart. Phys. , vol.2004 , Issue.7 , pp. 013
    • Vereshchagin, G.V.1
  • 31
    • 84927743005 scopus 로고    scopus 로고
    • Loop quantum gravity and the cyclic universe
    • Bojowald M, Maartens R and Singh P 2004 Loop quantum gravity and the cyclic universe Phys. Rev. D 70 083517 (Preprint hep-th/0407115)
    • (2004) Phys. Rev. , vol.70 , pp. 083517
    • Bojowald, M.1    Maartens, R.2    Singh, P.3
  • 32
    • 18144419429 scopus 로고    scopus 로고
    • Genericity of big bounce in isotropic loop quantum cosmology
    • Date G and Hossain G M 2005 Genericity of big bounce in isotropic loop quantum cosmology Phys. Rev. Lett. 94 011302 (Preprint gr-qc/0407074)
    • (2005) Phys. Rev. Lett. , vol.94 , Issue.1 , pp. 011302
    • Date, G.1    Hossain, G.M.2
  • 33
    • 33644557789 scopus 로고    scopus 로고
    • Absence of the Kasner singularity in the effective dynamics from loop quantum cosmology
    • Date G 2005 Absence of the Kasner singularity in the effective dynamics from loop quantum cosmology Phys. Rev. D 71 127502 (Preprint gr-qc/0505002)
    • (2005) Phys. Rev. , vol.71 , Issue.12 , pp. 127502
    • Date, G.1
  • 35
    • 84927758863 scopus 로고    scopus 로고
    • Oscillatory universes in loop quantum cosmology and initial conditions for inflation
    • Lidsey J E, Mulryne D J, Nunes N J and Tavakol R 2004 Oscillatory universes in loop quantum cosmology and initial conditions for inflation Phys. Rev. D 70 063521 (Preprint gr-qc/0406042)
    • (2004) Phys. Rev. , vol.70 , pp. 063521
    • Lidsey, J.E.1    Mulryne, D.J.2    Nunes, N.J.3    Tavakol, R.4
  • 36
    • 21144447757 scopus 로고    scopus 로고
    • Inflationary cosmology and oscillating universes in loop quantum cosmology
    • Mulryne D J, Nunes N J, Tavakol R and Lidsey J 2005 Inflationary cosmology and oscillating universes in loop quantum cosmology Int. J. Mod. Phys. A 20 2347-57 (Preprint gr-qc/0411125)
    • (2005) Int. J. Mod. Phys. , vol.20 , Issue.11 , pp. 2347-2357
    • Mulryne, D.J.1    Nunes, N.J.2    Tavakol, R.3    Lidsey, J.4
  • 38
    • 23944473852 scopus 로고    scopus 로고
    • Original questions
    • Bojowald M 2005 Original questions Nature 436 920-1
    • (2005) Nature , vol.436 , Issue.7053 , pp. 920-921
    • Bojowald, M.1
  • 39
    • 29744432446 scopus 로고    scopus 로고
    • Inflation: A graceful entrance from loop quantum cosmology
    • Nunes N J 2006 Inflation: a graceful entrance from loop quantum cosmology Phys. Rev. D 72 103510 (Preprint astro-ph/0507683)
    • (2006) Phys. Rev. , vol.72 , Issue.10 , pp. 103510
    • Nunes, N.J.1
  • 40
    • 0037165006 scopus 로고    scopus 로고
    • Inflation from quantum geometry
    • Bojowald M 2002 Inflation from quantum geometry Phys. Rev. Lett. 89 261301 (Preprint gr-qc/0206054)
    • (2002) Phys. Rev. Lett. , vol.89 , Issue.26 , pp. 261301
    • Bojowald, M.1
  • 41
    • 37649031496 scopus 로고    scopus 로고
    • Coordinate time dependence in quantum gravity
    • Bojowald M, Singh P and Skirzewski A 2004 Coordinate time dependence in quantum gravity Phys. Rev. D 70 124022 (Preprint gr-qc/0408094)
    • (2004) Phys. Rev. , vol.70 , Issue.12 , pp. 124022
    • Bojowald, M.1    Singh, P.2    Skirzewski, A.3
  • 42
    • 8744296033 scopus 로고    scopus 로고
    • Effective Hamiltonian for isotropic loop quantum cosmology
    • Date G and Hossain G M 2004 Effective Hamiltonian for isotropic loop quantum cosmology Class. Quantum Grav. 21 4941-53 (Preprint gr-qc/0407073)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.21 , pp. 4941-4953
    • Date, G.1    Hossain, G.M.2
  • 43
    • 21244491177 scopus 로고    scopus 로고
    • Discreteness corrections to the effective Hamiltonian of isotropic loop quantum cosmology
    • Banerjee K and Date G 2005 Discreteness corrections to the effective Hamiltonian of isotropic loop quantum cosmology Class. Quantum Grav. 22 2017-33 (Preprint gr-qc/0501102)
    • (2005) Class. Quantum Grav. , vol.22 , Issue.11 , pp. 2017-2033
    • Banerjee, K.1    Date, G.2
  • 44
    • 29744443736 scopus 로고    scopus 로고
    • Semi-classical states, effective dynamics and classical emergence in loop quantum cosmology
    • Singh P and Vandersloot K 2005 Semi-classical states, effective dynamics and classical emergence in loop quantum cosmology Phys. Rev. D 72 084004 (Preprint gr-qc/0507029)
    • (2005) Phys. Rev. , vol.72 , Issue.8 , pp. 084004
    • Singh, P.1    Vandersloot, K.2
  • 46
    • 27144540210 scopus 로고    scopus 로고
    • Willis J 2004 On the low-energy ramifications and a mathematical extension of loop quantum gravity PhD Thesis The Pennsylvania State University
    • (2004) PhD Thesis
    • Willis, J.1
  • 48
    • 84927770535 scopus 로고
    • A general solution of the Einstein equations with a time singularity
    • Belinskii V A, Khalatnikov I M and Lifschitz E M 1982 A general solution of the Einstein equations with a time singularity Adv. Phys. 13 639-67
    • (1982) Adv. Phys. , vol.31 , Issue.6 , pp. 639-667
    • Belinskii, V.A.1    Khalatnikov, I.M.2    Lifschitz, E.M.3
  • 49
    • 1642632719 scopus 로고    scopus 로고
    • Quantum suppression of the generic chaotic behaviour close to cosmological singularities
    • Bojowald M and Date G 2004 Quantum suppression of the generic chaotic behaviour close to cosmological singularities Phys. Rev. Lett. 92 071302 (Preprint gr-qc/0311003)
    • (2004) Phys. Rev. Lett. , vol.92 , Issue.7 , pp. 071302
    • Bojowald, M.1    Date, G.2
  • 50
    • 3242731312 scopus 로고    scopus 로고
    • The Bianchi IX model in loop quantum cosmology
    • 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 , Issue.14 , pp. 3541-3569
    • Bojowald, M.1    Date, G.2    Hossain, G.M.3
  • 51
    • 39249083464 scopus 로고    scopus 로고
    • Dynamical initial conditions in quantum cosmology
    • Bojowald M 2001 Dynamical initial conditions in quantum cosmology Phys. Rev. Lett. 87 121301 (Preprint gr-qc/0104072)
    • (2001) Phys. Rev. Lett. , vol.87 , Issue.12 , pp. 121301
    • Bojowald, M.1
  • 52
    • 4744353177 scopus 로고    scopus 로고
    • Generating function techniques for loop quantum cosmology
    • Cartin D, Khanna G and Bojowald M 2004 Generating function techniques for loop quantum cosmology Class. Quantum Grav. 21 4495-509 (Preprint gr-qc/0405126)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.18 , pp. 4495-4509
    • Cartin, D.1    Khanna, G.2    Bojowald, M.3
  • 53
    • 18044364616 scopus 로고    scopus 로고
    • Absence of pre-classical solutions in Bianchi i loop quantum cosmology
    • Cartin D and Khanna G 2005 Absence of pre-classical solutions in Bianchi I loop quantum cosmology Phys. Rev. Lett. 94 111302 (Preprint gr-qc/0501016)
    • (2005) Phys. Rev. Lett. , vol.94 , Issue.11 , pp. 111302
    • Cartin, D.1    Khanna, G.2
  • 54
    • 29744434912 scopus 로고    scopus 로고
    • Pre-classical solutions of the vacuum Bianchi i loop quantum cosmology
    • Date G 2005 Pre-classical solutions of the vacuum Bianchi I loop quantum cosmology Phys. Rev. D 72 067301 (Preprint gr-qc/0505030)
    • (2005) Phys. Rev. , vol.72 , pp. 067301
    • Date, G.1
  • 55
    • 24144501303 scopus 로고    scopus 로고
    • Asymptotic properties of difference equations for isotropic loop quantum cosmology
    • Bojowald M and Rej A 2005 Asymptotic properties of difference equations for isotropic loop quantum cosmology Class. Quantum Grav. 22 3399-420 (Preprint gr-qc/0504100)
    • (2005) Class. Quantum Grav. , vol.22 , Issue.17 , pp. 3399-3420
    • Bojowald, M.1    Rej, A.2
  • 57
    • 33644749158 scopus 로고    scopus 로고
    • Spherically symmetric quantum geometry: Hamiltonian constraint
    • Bojowald M and Swiderski R 2006 Spherically symmetric quantum geometry: Hamiltonian constraint Class. Quantum Grav. 23 2129-54
    • (2006) Class. Quantum Grav. , vol.23 , Issue.6 , pp. 2129-2154
    • Bojowald, M.1    Swiderski, R.2
  • 58
    • 0000745082 scopus 로고
    • Origin of structure in the universe
    • Halliwell J J and Hawking S W 1985 Origin of structure in the universe Phys. Rev. D 31 1777-91
    • (1985) Phys. Rev. , vol.31 , Issue.8 , pp. 1777-1791
    • Halliwell, J.J.1    Hawking, S.W.2
  • 59
    • 0041627402 scopus 로고    scopus 로고
    • Loop quantum cosmology, boundary proposals, and inflation
    • Bojowald M and Vandersloot K 2003 Loop quantum cosmology, boundary proposals, and inflation Phys. Rev. D 67 124023 (Preprint gr-qc/0303072)
    • (2003) Phys. Rev. , vol.67 , Issue.12 , pp. 124023
    • Bojowald, M.1    Vandersloot, K.2


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