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Volumn 798, Issue 1-2, 2008, Pages 251-290

Flipped spinfoam vertex and loop gravity

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EID: 41949090699     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2008.02.002     Document Type: Article
Times cited : (189)

References (90)
  • 1
    • 33750814079 scopus 로고
    • Knot theory and quantum gravity
    • Rovelli C., and Smolin L. Knot theory and quantum gravity. Phys. Rev. Lett. 61 (1988) 1155-1158
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 1155-1158
    • Rovelli, C.1    Smolin, L.2
  • 2
    • 13344250498 scopus 로고
    • Loop space representation for quantum general relativity
    • Rovelli C., and Smolin L. Loop space representation for quantum general relativity. Nucl. Phys. B 331 (1990) 80-152
    • (1990) Nucl. Phys. B , vol.331 , pp. 80-152
    • Rovelli, C.1    Smolin, L.2
  • 3
    • 0001067551 scopus 로고
    • Weaving a classical geometry with quantum threads
    • Ashtekar A., Rovelli C., and Smolin L. Weaving a classical geometry with quantum threads. Phys. Rev. Lett. 69 (1992) 237
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 237
    • Ashtekar, A.1    Rovelli, C.2    Smolin, L.3
  • 4
    • 0007020922 scopus 로고
    • Discreteness of area and volume in quantum gravity
    • Rovelli C., and Smolin L. Discreteness of area and volume in quantum gravity. Nucl. Phys. B 442 (1995) 593-619
    • (1995) Nucl. Phys. B , vol.442 , pp. 593-619
    • Rovelli, C.1    Smolin, L.2
  • 6
  • 7
    • 0001037369 scopus 로고    scopus 로고
    • Quantum theory of geometry II: Volume operators
    • Ashtekar A., and Lewandowski J. Quantum theory of geometry II: Volume operators. Adv. Theor. Math. Phys. 1 (1997) 388-429
    • (1997) Adv. Theor. Math. Phys. , vol.1 , pp. 388-429
    • Ashtekar, A.1    Lewandowski, J.2
  • 8
    • 4043142118 scopus 로고    scopus 로고
    • Background independent quantum gravity: A status report
    • Ashtekar A., and Lewandowski J. Background independent quantum gravity: A status report. Class. Quantum Grav. 21 (2004) R53-R152
    • (2004) Class. Quantum Grav. , vol.21
    • Ashtekar, A.1    Lewandowski, J.2
  • 11
    • 41949114908 scopus 로고    scopus 로고
    • T. Thiemann, Introduction to Modern Canonical Quantum General Relativity, Cambridge Univ. Press, in press
    • T. Thiemann, Introduction to Modern Canonical Quantum General Relativity, Cambridge Univ. Press, in press
  • 12
    • 1842855789 scopus 로고    scopus 로고
    • Cambridge Univ. Press, Cambridge
    • Rovelli C. Quantum Gravity (2004), Cambridge Univ. Press, Cambridge
    • (2004) Quantum Gravity
    • Rovelli, C.1
  • 13
    • 0032399747 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD)
    • Thiemann T. Quantum spin dynamics (QSD). Class. Quantum Grav. 15 (1998) 893
    • (1998) Class. Quantum Grav. , vol.15 , pp. 893
    • Thiemann, T.1
  • 14
    • 33645064040 scopus 로고    scopus 로고
    • Quantum spin dynamics VIII. The master constraint
    • Thiemann T. Quantum spin dynamics VIII. The master constraint. Class. Quantum Grav. 23 (2006) 2249-2266
    • (2006) Class. Quantum Grav. , vol.23 , pp. 2249-2266
    • Thiemann, T.1
  • 15
    • 0009249782 scopus 로고    scopus 로고
    • 'Sum over surfaces' form of loop quantum gravity
    • gr-qc/9612035
    • Reisenberger M.P., and Rovelli C. 'Sum over surfaces' form of loop quantum gravity. Phys. Rev. D 56 (1997) 3490. gr-qc/9612035
    • (1997) Phys. Rev. D , vol.56 , pp. 3490
    • Reisenberger, M.P.1    Rovelli, C.2
  • 16
    • 0032396211 scopus 로고    scopus 로고
    • Spin foam models
    • Baez J.C. Spin foam models. Class. Quantum Grav. 15 (1998) 1827-1858
    • (1998) Class. Quantum Grav. , vol.15 , pp. 1827-1858
    • Baez, J.C.1
  • 17
    • 0003721118 scopus 로고    scopus 로고
    • Spin foams as Feynman diagrams
    • Ciufolini I., Dominici D., and Lusanna L. (Eds), World Scientific, Singapore. gr-qc/0002083
    • Reisenberger M.P., and Rovelli C. Spin foams as Feynman diagrams. In: Ciufolini I., Dominici D., and Lusanna L. (Eds). Florence 2001, A Relativistic Spacetime Odyssey (2003), World Scientific, Singapore 431-448. gr-qc/0002083
    • (2003) Florence 2001, A Relativistic Spacetime Odyssey , pp. 431-448
    • Reisenberger, M.P.1    Rovelli, C.2
  • 18
    • 0001903332 scopus 로고    scopus 로고
    • An introduction to spin foam models of BF theory and quantum gravity
    • Baez J.C. An introduction to spin foam models of BF theory and quantum gravity. Lect. Notes Phys. 543 (2000) 25-94
    • (2000) Lect. Notes Phys. , vol.543 , pp. 25-94
    • Baez, J.C.1
  • 19
    • 0035530902 scopus 로고    scopus 로고
    • Spacetime as a Feynman diagram: The connection formulation
    • Reisenberger M.P., and Rovelli C. Spacetime as a Feynman diagram: The connection formulation. Class. Quantum Grav. 18 (2001) 121-140
    • (2001) Class. Quantum Grav. , vol.18 , pp. 121-140
    • Reisenberger, M.P.1    Rovelli, C.2
  • 21
    • 0032362859 scopus 로고    scopus 로고
    • Relativistic spin networks and quantum gravity
    • Barrett J.W., and Crane L. Relativistic spin networks and quantum gravity. J. Math. Phys. 39 (1998) 3296-3302
    • (1998) J. Math. Phys. , vol.39 , pp. 3296-3302
    • Barrett, J.W.1    Crane, L.2
  • 22
    • 0034701609 scopus 로고    scopus 로고
    • Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space
    • DePietri R., Freidel L., Krasnov K., and Rovelli C. Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space. Nucl. Phys. B 574 (2000) 785-806
    • (2000) Nucl. Phys. B , vol.574 , pp. 785-806
    • DePietri, R.1    Freidel, L.2    Krasnov, K.3    Rovelli, C.4
  • 23
    • 0035795276 scopus 로고    scopus 로고
    • A spinfoam model without bubble divergences
    • Perez A., and Rovelli C. A spinfoam model without bubble divergences. Nucl. Phys. B 599 (2001) 255-282
    • (2001) Nucl. Phys. B , vol.599 , pp. 255-282
    • Perez, A.1    Rovelli, C.2
  • 24
    • 0035862240 scopus 로고    scopus 로고
    • Gluing 4-simplices: A derivation of the Barrett-Crane spinfoam model for Euclidean quantum gravity
    • Oriti D., and Williams R.M. Gluing 4-simplices: A derivation of the Barrett-Crane spinfoam model for Euclidean quantum gravity. Phys. Rev. D 63 (2001) 024022
    • (2001) Phys. Rev. D , vol.63 , pp. 024022
    • Oriti, D.1    Williams, R.M.2
  • 25
    • 0035668282 scopus 로고    scopus 로고
    • Spacetime geometry from algebra: Spin foam models for non-perturbative quantum gravity
    • Oriti D. Spacetime geometry from algebra: Spin foam models for non-perturbative quantum gravity. Rep. Prog. Phys. 64 (2001) 1489-1544
    • (2001) Rep. Prog. Phys. , vol.64 , pp. 1489-1544
    • Oriti, D.1
  • 26
    • 0037272589 scopus 로고    scopus 로고
    • Spin foam models for quantum gravity
    • Perez A. Spin foam models for quantum gravity. Class. Quantum Grav. 20 (2003) R43
    • (2003) Class. Quantum Grav. , vol.20
    • Perez, A.1
  • 28
    • 0000461946 scopus 로고
    • Basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantum gravity model is the loop representation basis
    • Rovelli C. Basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantum gravity model is the loop representation basis. Phys. Rev. D 48 (1993) 2702
    • (1993) Phys. Rev. D , vol.48 , pp. 2702
    • Rovelli, C.1
  • 29
    • 24144434102 scopus 로고    scopus 로고
    • Three-dimensional loop quantum gravity: Physical scalar product and spin foam models
    • Noui K., and Perez A. Three-dimensional loop quantum gravity: Physical scalar product and spin foam models. Class. Quantum Grav. 22 (2005) 1739-1762
    • (2005) Class. Quantum Grav. , vol.22 , pp. 1739-1762
    • Noui, K.1    Perez, A.2
  • 30
    • 0035795282 scopus 로고    scopus 로고
    • Finiteness of a spinfoam model for Euclidean GR
    • Perez A. Finiteness of a spinfoam model for Euclidean GR. Nucl. Phys. B 599 (2001) 427-434
    • (2001) Nucl. Phys. B , vol.599 , pp. 427-434
    • Perez, A.1
  • 31
    • 0035968804 scopus 로고    scopus 로고
    • Finiteness in spinfoam quantum gravity
    • Crane L., Perez A., and Rovelli C. Finiteness in spinfoam quantum gravity. Phys. Rev. Lett. 87 (2001) 181301
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 181301
    • Crane, L.1    Perez, A.2    Rovelli, C.3
  • 34
    • 33749624853 scopus 로고    scopus 로고
    • Graviton propagator from background-independent quantum gravity
    • gr-qc/0508124
    • Rovelli C. Graviton propagator from background-independent quantum gravity. Phys. Rev. Lett. 97 (2006) 151301. gr-qc/0508124
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 151301
    • Rovelli, C.1
  • 35
    • 28844475668 scopus 로고    scopus 로고
    • Particle scattering in loop quantum gravity
    • Modesto L., and Rovelli C. Particle scattering in loop quantum gravity. Phys. Rev. Lett. 95 (2005) 191301
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 191301
    • Modesto, L.1    Rovelli, C.2
  • 37
    • 84891636871 scopus 로고    scopus 로고
    • Towards the graviton from spinfoams: The 3d toy model
    • gr-qc/0512102
    • Speziale S. Towards the graviton from spinfoams: The 3d toy model. JHEP 0605 (2006) 039. gr-qc/0512102
    • (2006) JHEP , vol.605 , pp. 039
    • Speziale, S.1
  • 38
    • 33846481233 scopus 로고    scopus 로고
    • Towards the graviton from spinfoams: Higher order corrections in the 3d toy model
    • gr-qc/0605123
    • Livine E., Speziale S., and Willis J. Towards the graviton from spinfoams: Higher order corrections in the 3d toy model. Phys. Rev. D 75 (2007) 024038. gr-qc/0605123
    • (2007) Phys. Rev. D , vol.75 , pp. 024038
    • Livine, E.1    Speziale, S.2    Willis, J.3
  • 39
    • 33846216005 scopus 로고    scopus 로고
    • Group integral techniques for the spinfoam graviton propagator
    • gr-qc/0608131
    • Livine E.R., and Speziale S. Group integral techniques for the spinfoam graviton propagator. JHEP 0611 (2006) 092. gr-qc/0608131
    • (2006) JHEP , vol.611 , pp. 092
    • Livine, E.R.1    Speziale, S.2
  • 43
    • 0031532490 scopus 로고    scopus 로고
    • A left-handed simplicial action for Euclidean general relativity
    • gr-qc/9609002
    • Reisenberger M.P. A left-handed simplicial action for Euclidean general relativity. Class. Quantum Grav. 14 (1997) 1753. gr-qc/9609002
    • (1997) Class. Quantum Grav. , vol.14 , pp. 1753
    • Reisenberger, M.P.1
  • 44
    • 0033239766 scopus 로고    scopus 로고
    • On relativistic spin network vertices
    • gr-qc/9809067
    • Reisenberger M.P. On relativistic spin network vertices. J. Math. Phys. 40 (1999) 2046. gr-qc/9809067
    • (1999) J. Math. Phys. , vol.40 , pp. 2046
    • Reisenberger, M.P.1
  • 46
    • 35348831786 scopus 로고    scopus 로고
    • The loop-quantum-gravity vertex-amplitude
    • arXiv: 0705.2388 [gr-qc]
    • Engle J., Pereira R., and Rovelli C. The loop-quantum-gravity vertex-amplitude. Phys. Rev. Lett. 99 (2007) 161301. arXiv: 0705.2388 [gr-qc]
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 161301
    • Engle, J.1    Pereira, R.2    Rovelli, C.3
  • 47
    • 35348829705 scopus 로고    scopus 로고
    • Spin foam quantization of SO (4) Plebanski's action
    • Perez A. Spin foam quantization of SO (4) Plebanski's action. Adv. Theor. Math. Phys. 5 (2002) 947
    • (2002) Adv. Theor. Math. Phys. , vol.5 , pp. 947
    • Perez, A.1
  • 49
    • 0001603179 scopus 로고    scopus 로고
    • Spin foam models and the classical action principle
    • Freidel L., and Krasnov K. Spin foam models and the classical action principle. Adv. Theor. Math. Phys. 2 (1999) 1183-1247
    • (1999) Adv. Theor. Math. Phys. , vol.2 , pp. 1183-1247
    • Freidel, L.1    Krasnov, K.2
  • 50
    • 0033243648 scopus 로고    scopus 로고
    • so (4) Plebanski action and relativistic spin foam model
    • gr-qc/9804071
    • De Pietri R., and Freidel L. so (4) Plebanski action and relativistic spin foam model. Class. Quantum Grav. 16 (1999) 2187. gr-qc/9804071
    • (1999) Class. Quantum Grav. , vol.16 , pp. 2187
    • De Pietri, R.1    Freidel, L.2
  • 53
    • 0031206071 scopus 로고    scopus 로고
    • Quantum gravity and Regge calculus
    • gr-qc/9701052
    • Immirzi G. Quantum gravity and Regge calculus. Nucl. Phys. B (Proc. Suppl.) 57 (1997) 65. gr-qc/9701052
    • (1997) Nucl. Phys. B (Proc. Suppl.) , vol.57 , pp. 65
    • Immirzi, G.1
  • 54
    • 51649208939 scopus 로고
    • General relativity without coordinates
    • Regge T. General relativity without coordinates. Nuovo Cimento 19 (1961) 558-571
    • (1961) Nuovo Cimento , vol.19 , pp. 558-571
    • Regge, T.1
  • 56
    • 41949135983 scopus 로고    scopus 로고
    • R.M. Williams, Introduction to Regge Calculus, Lecture Notes at the First Quantum Geometry and Quantum Gravity School, Zakopane, Poland, 23 March-3 April, 2007, in press
    • R.M. Williams, Introduction to Regge Calculus, Lecture Notes at the First Quantum Geometry and Quantum Gravity School, Zakopane, Poland, 23 March-3 April, 2007, in press
  • 57
    • 4644355931 scopus 로고    scopus 로고
    • Loop quantization from a lattice gauge theory perspective
    • gr-qc/0401109
    • Zapata J.A. Loop quantization from a lattice gauge theory perspective. Class. Quantum Grav. 21 (2004) L115. gr-qc/0401109
    • (2004) Class. Quantum Grav. , vol.21
    • Zapata, J.A.1
  • 58
    • 34249100588 scopus 로고    scopus 로고
    • On loop states in loop quantum gravity
    • gr-qc/0611156
    • Dass N.D.H., and Mathur M. On loop states in loop quantum gravity. Class. Quantum Grav. 24 (2007) 2179. gr-qc/0611156
    • (2007) Class. Quantum Grav. , vol.24 , pp. 2179
    • Dass, N.D.H.1    Mathur, M.2
  • 59
    • 79551499848 scopus 로고    scopus 로고
    • The quantum tetrahedron in three dimensions and four dimensions
    • Baez J.C., and Barrett J.W. The quantum tetrahedron in three dimensions and four dimensions. Adv. Theor. Math. Phys. 3 (1999) 815-850
    • (1999) Adv. Theor. Math. Phys. , vol.3 , pp. 815-850
    • Baez, J.C.1    Barrett, J.W.2
  • 60
    • 33645052463 scopus 로고    scopus 로고
    • Alternative symplectic structures for SO (3, 1) and SO (4) four-dimensional BF theories
    • gr-qc/0603076
    • Montesinos M. Alternative symplectic structures for SO (3, 1) and SO (4) four-dimensional BF theories. Class. Quantum Grav. 23 (2006) 2267. gr-qc/0603076
    • (2006) Class. Quantum Grav. , vol.23 , pp. 2267
    • Montesinos, M.1
  • 61
    • 29144431659 scopus 로고    scopus 로고
    • Group field theory: An overview
    • Freidel L. Group field theory: An overview. Int. J. Theor. Phys. 44 (2005) 1769-1783
    • (2005) Int. J. Theor. Phys. , vol.44 , pp. 1769-1783
    • Freidel, L.1
  • 63
    • 0000200934 scopus 로고    scopus 로고
    • Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
    • Holst S. Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action. Phys. Rev. D 53 (1996) 5966-5969
    • (1996) Phys. Rev. D , vol.53 , pp. 5966-5969
    • Holst, S.1
  • 65
    • 0001745744 scopus 로고
    • Boundary terms in the action for the Regge calculus
    • Hartle J.B., and Sorkin R. Boundary terms in the action for the Regge calculus. Gen. Relativ. Gravit. 13 (1981) 541-549
    • (1981) Gen. Relativ. Gravit. , vol.13 , pp. 541-549
    • Hartle, J.B.1    Sorkin, R.2
  • 66
    • 0037171892 scopus 로고    scopus 로고
    • Boundary terms in the Barrett-Crane spin foam model and consistent gluing
    • Oriti D. Boundary terms in the Barrett-Crane spin foam model and consistent gluing. Phys. Lett. B 532 (2002) 363-372
    • (2002) Phys. Lett. B , vol.532 , pp. 363-372
    • Oriti, D.1
  • 67
    • 0000170189 scopus 로고
    • Gauge fixing, the transfer matrix, and confinement on a lattice
    • Creutz M. Gauge fixing, the transfer matrix, and confinement on a lattice. Phys. Rev. D 15 (1977) 1128
    • (1977) Phys. Rev. D , vol.15 , pp. 1128
    • Creutz, M.1
  • 68
    • 2342429398 scopus 로고    scopus 로고
    • A 'general boundary' formulation for quantum mechanics and quantum gravity
    • Oeckl R. A 'general boundary' formulation for quantum mechanics and quantum gravity. Phys. Lett. B 575 (2003) 318-324
    • (2003) Phys. Lett. B , vol.575 , pp. 318-324
    • Oeckl, R.1
  • 69
    • 85037893689 scopus 로고    scopus 로고
    • The projector on physical states in loop quantum gravity
    • Rovelli C. The projector on physical states in loop quantum gravity. Phys. Rev. D 59 (1999) 104015
    • (1999) Phys. Rev. D , vol.59 , pp. 104015
    • Rovelli, C.1
  • 72
    • 0001721302 scopus 로고
    • Gravitons as embroidery on the weave
    • Iwasaki J., and Rovelli C. Gravitons as embroidery on the weave. Int. J. Mod. Phys. D 1 (1993) 533
    • (1993) Int. J. Mod. Phys. D , vol.1 , pp. 533
    • Iwasaki, J.1    Rovelli, C.2
  • 76
    • 0037084609 scopus 로고    scopus 로고
    • Barrett-Crane spin foam model from generalized BF type action for gravity
    • Livine R.E., and Oriti D. Barrett-Crane spin foam model from generalized BF type action for gravity. Phys. Rev. D 65 (2002) 044025
    • (2002) Phys. Rev. D , vol.65 , pp. 044025
    • Livine, R.E.1    Oriti, D.2
  • 78
    • 0036421749 scopus 로고    scopus 로고
    • Projected spin networks for Lorentz connection: Linking spin foams and loop gravity
    • Livine E. Projected spin networks for Lorentz connection: Linking spin foams and loop gravity. Class. Quantum Grav. 19 (2002) 5525-5542
    • (2002) Class. Quantum Grav. , vol.19 , pp. 5525-5542
    • Livine, E.1
  • 79
    • 4243418375 scopus 로고    scopus 로고
    • Choice of connection in loop quantum gravity
    • Alexandrov S. Choice of connection in loop quantum gravity. Phys. Rev. D 65 (2002) 024011
    • (2002) Phys. Rev. D , vol.65 , pp. 024011
    • Alexandrov, S.1
  • 80
    • 0037441101 scopus 로고    scopus 로고
    • SU (2) loop quantum gravity seen from covariant theory
    • Alexandrov S., and Livine E. SU (2) loop quantum gravity seen from covariant theory. Phys. Rev. D 67 (2003) 044009
    • (2003) Phys. Rev. D , vol.67 , pp. 044009
    • Alexandrov, S.1    Livine, E.2
  • 82
    • 37849185332 scopus 로고    scopus 로고
    • Loop quantum gravity and black hole physics
    • gr-qc/9608032
    • Rovelli C. Loop quantum gravity and black hole physics. Helv. Phys. Acta 69 (1996) 582. gr-qc/9608032
    • (1996) Helv. Phys. Acta , vol.69 , pp. 582
    • Rovelli, C.1
  • 83
    • 33845515323 scopus 로고    scopus 로고
    • Uniform discretizations: A new approach for the quantization of totally constrained systems
    • Campiglia M., Di Bartolo C., Gambini R., and Pullin J. Uniform discretizations: A new approach for the quantization of totally constrained systems. Phys. Rev. D 74 (2006) 124012
    • (2006) Phys. Rev. D , vol.74 , pp. 124012
    • Campiglia, M.1    Di Bartolo, C.2    Gambini, R.3    Pullin, J.4
  • 84
    • 0037449926 scopus 로고    scopus 로고
    • Canonical quantization of general relativity in discrete space-times
    • Gambini R., and Pullin J. Canonical quantization of general relativity in discrete space-times. Phys. Rev. Lett. 90 (2003) 021301
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 021301
    • Gambini, R.1    Pullin, J.2
  • 85
    • 34247877500 scopus 로고    scopus 로고
    • Algebraic quantum gravity (AQG). I: Conceptual setup
    • Giesel K., and Thiemann T. Algebraic quantum gravity (AQG). I: Conceptual setup. Class. Quantum Grav. 24 (2007) 2465
    • (2007) Class. Quantum Grav. , vol.24 , pp. 2465
    • Giesel, K.1    Thiemann, T.2
  • 86
    • 4744374561 scopus 로고    scopus 로고
    • Causal sets: Discrete gravity
    • Gomberoff A., and Marolf D. (Eds), Plenum, New York
    • Sorkin R. Causal sets: Discrete gravity. In: Gomberoff A., and Marolf D. (Eds). Proceedings of the Valdivia Summer School (2005), Plenum, New York
    • (2005) Proceedings of the Valdivia Summer School
    • Sorkin, R.1
  • 87
    • 41949106593 scopus 로고    scopus 로고
    • J. Ambjorn, J. Jurkiewicz, R. Loll, Quantum gravity, or the art of building spacetime in: D. Oriti (Ed.), Approaches to Quantum Gravity, Cambridge Univ. Press, in press, hep-th/0604212
    • J. Ambjorn, J. Jurkiewicz, R. Loll, Quantum gravity, or the art of building spacetime in: D. Oriti (Ed.), Approaches to Quantum Gravity, Cambridge Univ. Press, in press, hep-th/0604212
  • 88
    • 0012368256 scopus 로고
    • Covariant phase space of asymptotically flat gravitational fields
    • Francaviglia M., and Holm D. (Eds), North-Holland, Amsterdam
    • Ashtekar A., Bombelli L., and Reula O. Covariant phase space of asymptotically flat gravitational fields. In: Francaviglia M., and Holm D. (Eds). Mechanics, Analysis and Geometry: 200 Years after Lagrange (1991), North-Holland, Amsterdam
    • (1991) Mechanics, Analysis and Geometry: 200 Years after Lagrange
    • Ashtekar, A.1    Bombelli, L.2    Reula, O.3
  • 89
    • 17444367752 scopus 로고
    • Phase space formulation of general relativity without 3 + 1 splitting
    • Kim Y.S., and Zachary W.W. (Eds), Springer-Verlag, Berlin
    • Ashtekar A., Bombelli L., and Koul R. Phase space formulation of general relativity without 3 + 1 splitting. In: Kim Y.S., and Zachary W.W. (Eds). The Physics of Phase Space (1987), Springer-Verlag, Berlin
    • (1987) The Physics of Phase Space
    • Ashtekar, A.1    Bombelli, L.2    Koul, R.3


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