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Volumn 41, Issue 4, 2009, Pages 785-815

The Superspace of geometrodynamics

Author keywords

Quantum gravity; Superspace; Three manifolds

Indexed keywords


EID: 63649138192     PISSN: 00017701     EISSN: 15729532     Source Type: Journal    
DOI: 10.1007/s10714-009-0771-4     Document Type: Article
Times cited : (82)

References (84)
  • 1
    • 0002185817 scopus 로고
    • The structure of gauge and gravitational anomalies
    • L. Alvarez-Gaumé P. Ginsparg 1985 The structure of gauge and gravitational anomalies Ann. Phys. 161 423 490
    • (1985) Ann. Phys. , vol.161 , pp. 423-490
    • Alvarez-Gaumé, L.1    Ginsparg, P.2
  • 2
    • 0000468009 scopus 로고
    • Aspects of spin and statistics in general covariant theories
    • C. Aneziris 1989 Aspects of spin and statistics in general covariant theories Int. J. Mod. Phys. A 14 20 5459 5510
    • (1989) Int. J. Mod. Phys. A , vol.14 , Issue.20 , pp. 5459-5510
    • Aneziris, C.1
  • 3
    • 0000990616 scopus 로고
    • Statistics and general relativity
    • C. Aneziris 1989 Statistics and general relativity Mod. Phys. Lett. A 4 4 331 338
    • (1989) Mod. Phys. Lett. A , vol.4 , Issue.4 , pp. 331-338
    • Aneziris, C.1
  • 4
    • 33645874103 scopus 로고
    • Classical Lorentz invariant particles
    • R. Arens 1971 Classical Lorentz invariant particles J. Math. Phys. 12 12 2415 2422
    • (1971) J. Math. Phys. , vol.12 , Issue.12 , pp. 2415-2422
    • Arens, R.1
  • 5
    • 0011501215 scopus 로고
    • Space-time and degrees of freedom of the elementary particle
    • H. Bacry 1967 Space-time and degrees of freedom of the elementary particle Commun. Math. Phys. 5 2 97 105
    • (1967) Commun. Math. Phys. , vol.5 , Issue.2 , pp. 97-105
    • Bacry, H.1
  • 6
    • 22144440004 scopus 로고
    • Real Ashtekar variables for Lorentzian signature space-times
    • F. Barbero 1995 Real Ashtekar variables for Lorentzian signature space-times Phys. Rev. D 51 10 5507 5510
    • (1995) Phys. Rev. D , vol.51 , Issue.10 , pp. 5507-5510
    • Barbero, F.1
  • 10
    • 0000870394 scopus 로고
    • The Poincaré group as symmetry group of canonical general relativity
    • R. Beig N.Ó. Murchadha 1987 The Poincaré group as symmetry group of canonical general relativity Ann. Phys. 174 463 498
    • (1987) Ann. Phys. , vol.174 , pp. 463-498
    • Beig, R.1    Murchadha N.O.́2
  • 13
    • 36149012654 scopus 로고
    • Interaction of neutrinos and gravitational fields
    • D.R. Brill J.A. Wheeler 1957 Interaction of neutrinos and gravitational fields Rev. Mod. Phys. 29 3 465 479
    • (1957) Rev. Mod. Phys. , vol.29 , Issue.3 , pp. 465-479
    • Brill, D.R.1    Wheeler, J.A.2
  • 16
    • 36049055961 scopus 로고
    • Quantum theory of gravity. I. the canonical theory
    • Erratum, ibid. 171(5), 1834 (1968)
    • DeWitt, B.S.: Quantum theory of gravity. I. The canonical theory. Physical Review, 160(5), 1113-1148, (1967). Erratum, ibid. 171(5), 1834 (1968)
    • (1967) Physical Review , vol.160 , Issue.5 , pp. 1113-1148
    • B. S. Dewitt1
  • 17
    • 0032394988 scopus 로고    scopus 로고
    • A spin-statistics theorem for certain topological geons
    • F. Dowker R. Sorkin 1998 A spin-statistics theorem for certain topological geons Classical Quantum Gravity 15 1153 1167
    • (1998) Classical Quantum Gravity , vol.15 , pp. 1153-1167
    • Dowker, F.1    Sorkin, R.2
  • 20
    • 5844421915 scopus 로고
    • On the space of Riemannian metrics
    • D.G. Ebin 1968 On the space of Riemannian metrics Bull. Am. Math. Soc. 74 5 1001 1003
    • (1968) Bull. Am. Math. Soc. , vol.74 , Issue.5 , pp. 1001-1003
    • Ebin, D.G.1
  • 21
    • 6144279671 scopus 로고
    • Connection between spin, statistics, and kinks
    • D. Finkelstein J. Rubinstein 1968 Connection between spin, statistics, and kinks J. Math. Phys. 9 11 1762 1779
    • (1968) J. Math. Phys. , vol.9 , Issue.11 , pp. 1762-1779
    • Finkelstein, D.1    Rubinstein, J.2
  • 23
    • 0004122042 scopus 로고
    • Resolving the singularities in the space of Riemannian geometries
    • A.E. Fischer 1986 Resolving the singularities in the space of Riemannian geometries J. Math. Phys. 27 718 738
    • (1986) J. Math. Phys. , vol.27 , pp. 718-738
    • Fischer, A.E.1
  • 25
    • 0011425120 scopus 로고
    • Über die Automorphismengruppen der freien Produkte i
    • D.I. Fouxe-Rabinovitch 1940 Über die Automorphismengruppen der freien Produkte I Matematicheskii Sb. 8 50 265 276
    • (1940) Matematicheskii Sb. , vol.8 , Issue.50 , pp. 265-276
    • Fouxe-Rabinovitch, D.I.1
  • 26
    • 63649147822 scopus 로고
    • Über die Automorphismengruppen der freien Produkte II
    • D.I. Fouxe-Rabinovitch 1941 Über die Automorphismengruppen der freien Produkte II Matematicheskii Sb. 9 51 297 318
    • (1941) Matematicheskii Sb. , vol.9 , Issue.51 , pp. 297-318
    • Fouxe-Rabinovitch, D.I.1
  • 27
    • 0000339711 scopus 로고
    • The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group
    • D.S. Freed D. Groisser 1989 The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group Mich. Math. J. 36 3 323 344
    • (1989) Mich. Math. J. , vol.36 , Issue.3 , pp. 323-344
    • Freed, D.S.1    Groisser, D.2
  • 29
    • 0039007153 scopus 로고
    • Are Maxwell's equations invariant under the Galilei transformations?
    • (In Russian)
    • W. Fushchich V. Shtelen 1991 Are Maxwell's equations invariant under the Galilei transformations? Doklady Akademii Nauk Ukrainy A 3 22 26 (In Russian)
    • (1991) Doklady Akademii Nauk Ukrainy A , vol.3 , pp. 22-26
    • Fushchich, W.1    Shtelen, V.2
  • 30
    • 0010966952 scopus 로고
    • The existence of negatively Ricci curved metrics on three-manifolds
    • L.Z. Gao S.-T. Yau 1986 The existence of negatively Ricci curved metrics on three-manifolds Invent. Math. 85 3 637 652
    • (1986) Invent. Math. , vol.85 , Issue.3 , pp. 637-652
    • Gao, L.Z.1    Yau, S.-T.2
  • 31
    • 84885142789 scopus 로고
    • Presentations of the automorphims group of a free product
    • N.D. Gilbert 1987 Presentations of the automorphims group of a free product Proc. Lond. Math. Soc. 54 115 140
    • (1987) Proc. Lond. Math. Soc. , vol.54 , pp. 115-140
    • Gilbert, N.D.1
  • 32
    • 21344475911 scopus 로고
    • 3-manifolds for relativists
    • D. Giulini 1994 3-manifolds for relativists Int. J. Theor. Phys. 33 913 930
    • (1994) Int. J. Theor. Phys. , vol.33 , pp. 913-930
    • Giulini, D.1
  • 33
    • 0007019897 scopus 로고
    • On the configuration-space topology in general relativity
    • D. Giulini 1995 On the configuration-space topology in general relativity Helv. Phys. Acta 68 86 111
    • (1995) Helv. Phys. Acta , vol.68 , pp. 86-111
    • Giulini, D.1
  • 34
    • 0000989085 scopus 로고
    • Quantum mechanics on spaces with finite fundamental group
    • D. Giulini 1995 Quantum mechanics on spaces with finite fundamental group Helv. Phys. Acta 68 439 469
    • (1995) Helv. Phys. Acta , vol.68 , pp. 439-469
    • Giulini, D.1
  • 35
    • 0000105032 scopus 로고
    • What is the geometry of superspace?
    • D. Giulini 1995 What is the geometry of superspace? Phys. Rev. D 51 10 5630 5635
    • (1995) Phys. Rev. D , vol.51 , Issue.10 , pp. 5630-5635
    • Giulini, D.1
  • 36
    • 63649158721 scopus 로고    scopus 로고
    • The Group of Large Diffeomorphisms in General Relativity
    • D. Giulini 1997 The Group Of Large Diffeomorphisms In General Relativity Banach Center Publications 39 303 315
    • (1997) Banach Center Publications , vol.39 , pp. 303-315
    • Giulini, D.1
  • 37
    • 63649145435 scopus 로고    scopus 로고
    • Mapping-class groups of 3-manifolds in canonical quantum gravity
    • Fauser, B., Tolksdorf, J., Zeidler, E. (eds.) Birkhäuser Verlag, Basel, (2007). Online available at (arxiv.org/pdf/gr-qc/0606066).
    • Giulini D. (2007) Mapping-class groups of 3-manifolds in canonical quantum gravity. In: Fauser, B., Tolksdorf, J., Zeidler, E. (eds.) Quantum Gravity: Mathematical Models and Experimental Bounds. Birkhäuser Verlag, Basel, (2007). Online available at (arxiv.org/pdf/gr-qc/0606066).
    • (2007) Quantum Gravity: Mathematical Models and Experimental Bounds
    • Giulini, D.1
  • 38
    • 26944456571 scopus 로고
    • Wheeler-DeWitt metric and the attractivity of gravity
    • D. Giulini C. Kiefer 1994 Wheeler-DeWitt metric and the attractivity of gravity Phys. Lett. A 193 1 21 24
    • (1994) Phys. Lett. A , vol.193 , Issue.1 , pp. 21-24
    • Giulini, D.1    Kiefer, C.2
  • 42
    • 0039646461 scopus 로고    scopus 로고
    • Real and complex connections for canonical gravity
    • G. Immirzi 1997 Real and complex connections for canonical gravity Classical Quantum Gravity 14 10 L117 L181
    • (1997) Classical Quantum Gravity , vol.14 , Issue.10
    • Immirzi, G.1
  • 43
    • 63649085720 scopus 로고
    • Theta-states induced by the diffeomorphism group in canonically quantized gravity
    • Duff, J.J., Isham, C.J. (eds.) August 3-21 1981, Imperial College London Cambridge University Press, London
    • Isham, C.J.: Theta-states induced by the diffeomorphism group in canonically quantized gravity. In: Duff, J.J., Isham, C.J. (eds.) Quantum Structure of Space and Time. Proceedings of the Nuffield Workshop, August 3-21 1981, Imperial College London, pp. 37-52. Cambridge University Press, London (1982)
    • (1982) Quantum Structure of Space and Time. Proceedings of the Nuffield Workshop , pp. 37-52
    • C. J. Isham1
  • 44
    • 33748795255 scopus 로고
    • Representations of spacetime diffeomorphisms. I.~Canonical parametrized field theories
    • C.J. Isham K.V. Kuchař 1985 Representations of spacetime diffeomorphisms. I.~Canonical parametrized field theories Ann. Phys. 164 288 315
    • (1985) Ann. Phys. , vol.164 , pp. 288-315
    • Isham, C.J.1    Kuchař, K.V.2
  • 45
    • 2842556753 scopus 로고
    • Representations of spacetime diffeomorphisms. II. Canonical geometrodynamics
    • C.J Isham K.V. Kuchař 1985 Representations of spacetime diffeomorphisms. II. Canonical geometrodynamics Ann. Phys. 164 316 333
    • (1985) Ann. Phys. , vol.164 , pp. 316-333
    • Isham, C.J.1    Kuchař, K.V.2
  • 47
    • 84972514611 scopus 로고
    • Scalar curvature and conformal deformation of Riemannian structure
    • J.L. Kazdan F.W. Warner 1975 Scalar curvature and conformal deformation of Riemannian structure J. Differ. Geom. 10 1 113 134
    • (1975) J. Differ. Geom. , vol.10 , Issue.1 , pp. 113-134
    • Kazdan, J.L.1    Warner, F.W.2
  • 49
    • 0009098662 scopus 로고
    • On the question of a neutrino analog to electric charge
    • J. Klauder J.A. Wheeler 1957 On the question of a neutrino analog to electric charge Rev. Mod. Phys. 29 3 516 517
    • (1957) Rev. Mod. Phys. , vol.29 , Issue.3 , pp. 516-517
    • Klauder, J.1    Wheeler, J.A.2
  • 51
    • 36849109998 scopus 로고
    • Geometrodynamics regained: A Lagrangian approach
    • K. Kuchař 1973 Geometrodynamics regained: a Lagrangian approach J. Math. Phys. 15 6 708 715
    • (1973) J. Math. Phys. , vol.15 , Issue.6 , pp. 708-715
    • Kuchař, K.1
  • 54
    • 1642301328 scopus 로고
    • The four-dimensionality of space and the Einstein tensor
    • D. Lovelock 1972 The four-dimensionality of space and the Einstein tensor J. Math. Phys. 13 6 874 876
    • (1972) J. Math. Phys. , vol.13 , Issue.6 , pp. 874-876
    • Lovelock, D.1
  • 57
    • 0001704651 scopus 로고
    • Homeomorphisms of 3-manifolds with compressible boundary
    • McCullough, D., Miller, A.: Homeomorphisms of 3-manifolds with compressible boundary. Mem. Am. Math. Soc. 61(344) (1986)
    • (1986) Mem. Am. Math. Soc. , vol.61 , Issue.344
    • McCullough, D.1    Miller, A.2
  • 58
    • 0001859789 scopus 로고
    • A unique decomposition theorem for 3-manifolds
    • J.W. Milnor 1962 A unique decomposition theorem for 3-manifolds Am. J. Math. 84 1 1 7
    • (1962) Am. J. Math. , vol.84 , Issue.1 , pp. 1-7
    • Milnor, J.W.1
  • 60
    • 0001836309 scopus 로고
    • Affine structures in 3-manifolds v the triangulation theorem and Hauptvermutung
    • E.E. Moise 1952 Affine structures in 3-manifolds V The triangulation theorem and Hauptvermutung Ann. Math 56 1 96 114
    • (1952) Ann. Math , vol.56 , Issue.1 , pp. 96-114
    • Moise, E.E.1
  • 61
    • 63649124294 scopus 로고    scopus 로고
    • PhD thesis, Friedrich-Wilhelms-Universität Bonn, October
    • Müllner, D. (2008) Orientation Reversal of Manifolds. PhD thesis, Friedrich-Wilhelms-Universität Bonn, October (2008)
    • (2008) Orientation Reversal of Manifolds
    • Müllner, D.1
  • 62
    • 0001358449 scopus 로고
    • The group of isometries of a Riemannian manifold
    • S.B. Myers N.E. Steenrod 1939 The group of isometries of a Riemannian manifold Ann. Math. 40 2 400 416
    • (1939) Ann. Math. , vol.40 , Issue.2 , pp. 400-416
    • Myers, S.B.1    Steenrod, N.E.2
  • 64
    • 0242360738 scopus 로고    scopus 로고
    • Generally covariant theories: The Noether obstruction for realizing certain space-time diffeomorphisms inphase space
    • J.M. Pons 2003 Generally covariant theories: The Noether obstruction for realizing certain space-time diffeomorphisms inphase space Classical Quantum Gravity 20 15 3279 3294
    • (2003) Classical Quantum Gravity , vol.20 , Issue.15 , pp. 3279-3294
    • Pons, J.M.1
  • 66
    • 0034700051 scopus 로고    scopus 로고
    • Canonical gravity, diffeomorphisms and objective histories
    • J. Samuel 2000 Canonical gravity, diffeomorphisms and objective histories Classical Quantum Gravity 17 22 4645 4654
    • (2000) Classical Quantum Gravity , vol.17 , Issue.22 , pp. 4645-4654
    • Samuel, J.1
  • 67
    • 0034336562 scopus 로고    scopus 로고
    • Is Barbero's Hamiltonian formulation a gauge theory of Lorentzian gravity?
    • J. Samuel 2000 Is Barbero's Hamiltonian formulation a gauge theory of Lorentzian gravity? Classical Quantum Gravity 17 20 L141 L148
    • (2000) Classical Quantum Gravity , vol.17 , Issue.20
    • Samuel, J.1
  • 68
    • 0004096001 scopus 로고
    • Academic Press, Orlando, Florida, 1980. Translation of the 1934 german edition
    • Seifert, H., Threlfall, W.: A Textbook of Topology. Academic Press, Orlando, Florida, 1980. Translation of the 1934 german edition (1980)
    • (1980) A Textbook of Topology
    • Seifert, H.1    Threlfall, W.2
  • 69
    • 0003349111 scopus 로고
    • Introduction to topological geons
    • Bergmann, P.G., De Sabbata, V. (eds.) NATO Advanced Study Institutes Series D. Reidel Publishing Company, Dordrecht-Holland
    • Sorkin, R.: Introduction to topological geons. In: Bergmann, P.G., De Sabbata, V. (eds.), Topological Properties and Global Structure of Space-Time, NATO Advanced Study Institutes Series, vol. B138, p. 249. D. Reidel Publishing Company, Dordrecht-Holland (1986)
    • (1986) Topological Properties and Global Structure of Space-time , vol.B138 , pp. 249
    • Sorkin, R.1
  • 70
    • 0005907562 scopus 로고
    • A general relation between kink-exchange and kink-rotation
    • R. Sorkin 1988 A general relation between kink-exchange and kink-rotation Commun. Math. Phys. 115 421 434
    • (1988) Commun. Math. Phys. , vol.115 , pp. 421-434
    • Sorkin, R.1
  • 72
    • 0009313367 scopus 로고    scopus 로고
    • An analysis of the representations of the mapping class group of a multi-geon three-manifold
    • R. Sorkin S. Surya 1998 An analysis of the representations of the mapping class group of a multi-geon three-manifold Int. J. Mod. Phys. A 13 21 3749 3790
    • (1998) Int. J. Mod. Phys. A , vol.13 , Issue.21 , pp. 3749-3790
    • Sorkin, R.1    Surya, S.2
  • 74
    • 49549170285 scopus 로고
    • How commutators of constraints reflect the spacetime structure
    • C. Teitelboim 1973 How commutators of constraints reflect the spacetime structure Ann. Phys. 79 2 542 557
    • (1973) Ann. Phys. , vol.79 , Issue.2 , pp. 542-557
    • Teitelboim, C.1
  • 76
    • 0001090340 scopus 로고
    • Foundations for a theory of gravitation theories
    • K.S. Thorne D.L. Lee A.P. Lightman 1973 Foundations for a theory of gravitation theories Phys. Rev. D 7 12 563 3578
    • (1973) Phys. Rev. D , vol.7 , Issue.12 , pp. 563-3578
    • Thorne, K.S.1    Lee, D.L.2    Lightman, A.P.3
  • 80
    • 0002137376 scopus 로고
    • Superspace and the nature of quantum geometrodynamics
    • DeWitt, C.M., Wheeler, J.A. (eds.) W.A. Benjamin, New York
    • Wheeler, J.A.: Superspace and the nature of quantum geometrodynamics. In: DeWitt, C.M., Wheeler, J.A. (eds.) Battelle Rencontres, 1967 Lectures in Mathematics and Physics. pp. 242-307. W.A. Benjamin, New York (1968)
    • (1968) Battelle Rencontres, 1967 Lectures in Mathematics and Physics , pp. 242-307
    • J. A. Wheeler1
  • 82
    • 0040907231 scopus 로고
    • On incidence matrices, nuclei and homotopy types
    • J. H. C. Whitehead 1941 On incidence matrices, nuclei and homotopy types Ann. Math. 42 5 1197 1239
    • (1941) Ann. Math. , vol.42 , Issue.5 , pp. 1197-1239
    • Whitehead, J.H.C.1
  • 83
    • 0001427515 scopus 로고
    • Symmetry groups of state vectors in canonical quantum gravity
    • D. Witt 1986 Symmetry groups of state vectors in canonical quantum gravity J. Math. Phys. 27 2 573 592
    • (1986) J. Math. Phys. , vol.27 , Issue.2 , pp. 573-592
    • Witt, D.1
  • 84
    • 0005234480 scopus 로고
    • Vacuum space-times that admit no maximal slices
    • D. Witt 1986 Vacuum space-times that admit no maximal slices Phys. Rev. Lett. 57 12 1386 1389
    • (1986) Phys. Rev. Lett. , vol.57 , Issue.12 , pp. 1386-1389
    • Witt, D.1


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