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Volumn 19, Issue 1, 2002, Pages 51-82

Dynamical systems approach to G2 cosmology

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EID: 0036273299     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/19/1/304     Document Type: Article
Times cited : (48)

References (57)
  • 3
    • 0002112389 scopus 로고    scopus 로고
    • Isotropie cosmological singularities: 1. Polytropic perfect fluid space-times
    • Anguige K and P Tod K 1999 Isotropie cosmological singularities: 1. Polytropic perfect fluid space-times Ann. Phys., NY 276 257
    • (1999) Ann. Phys., NY , vol.276 , pp. 257
    • Anguige, K.1    Tod, K.P.2
  • 4
    • 0002773127 scopus 로고
    • The dynamics of general relativity
    • ed L Witten (New York: Wiley)
    • Amowitt R, Deser S and Misner C W 1962 The dynamics of general relativity Gravitation ed L Witten (New York: Wiley) p 227
    • (1962) Gravitation , pp. 227
    • Amowitt, R.1    Deser, S.2    Misner, C.W.3
  • 5
    • 0014808945 scopus 로고
    • Oscillatory approach to a singular point in the relativistic cosmology
    • Belinskiǐ V A, Khalatnikov I M and Lifshitz E M 1970 Oscillatory approach to a singular point in the relativistic cosmology Adv. Phys. 19 525
    • (1970) Adv. Phys. , vol.19 , pp. 525
    • Belinskiǐ, V.A.1    Khalatnikov, I.M.2    Lifshitz, E.M.3
  • 6
    • 84927770535 scopus 로고
    • A general solution of the Einstein equations with a time singularity
    • Belinskǐ V A, Khalatnikov I M and Lifshitz E M 1982 A general solution of the Einstein equations with a time singularity Adv. Phys. 31 639
    • (1982) Adv. Phys. , vol.31 , pp. 639
    • Belinskǐ, V.A.1    Khalatnikov, I.M.2    Lifshitz, E.M.3
  • 8
    • 0001505323 scopus 로고
    • Numerical investigation of cosmological singularities
    • Berger B K and Moncrief V 1993 Numerical investigation of cosmological singularities Phys. Rev. D 48 4676
    • (1993) Phys. Rev. D , vol.48 , pp. 4676
    • Berger, B.K.1    Moncrief, V.2
  • 9
    • 0002612362 scopus 로고
    • Black hole equilibrium states
    • ed C DeWitt and B S DeWitt (New York: Gordon and Breach)
    • Carter B 1973 Black hole equilibrium states Black Holes ed C DeWitt and B S DeWitt (New York: Gordon and Breach) p 57
    • (1973) Black Holes , pp. 57
    • Carter, B.1
  • 11
    • 0347920868 scopus 로고    scopus 로고
    • The Cauchy problem for quasi-linear hyperbolic evolution problems with a singularity in the time
    • Claudel C M and Newman K P 1998 The Cauchy problem for quasi-linear hyperbolic evolution problems with a singularity in the time Proc. Soc. A 454 1073
    • (1998) Proc. Soc. A , vol.454 , pp. 1073
    • Claudel, C.M.1    Newman, K.P.2
  • 13
    • 0000169565 scopus 로고
    • Self-similar spacetimes: Geometry and dynamics
    • Eardley D M 1974 Self-similar spacetimes: geometry and dynamics Common. Math. Phys. 37 287
    • (1974) Common. Math. Phys. , vol.37 , pp. 287
    • Eardley, D.M.1
  • 14
    • 11744382930 scopus 로고
    • Velocity-dominated singularities in irrotational dust cosmologies
    • Eardley D, Liang E and Sachs R 1972 Velocity-dominated singularities in irrotational dust cosmologies J. Math. Phys. 13 99
    • (1972) J. Math. Phys. , vol.13 , pp. 99
    • Eardley, D.1    Liang, E.2    Sachs, R.3
  • 15
    • 0001449230 scopus 로고
    • Dynamics of pressure-free matter in general relativity
    • Ellis G F R 1967 Dynamics of pressure-free matter in general relativity J. Math. Phys. 8 1171
    • (1967) J. Math. Phys. , vol.8 , pp. 1171
    • Ellis, G.F.R.1
  • 16
    • 0007277259 scopus 로고    scopus 로고
    • Cosmological models (cargèse lectures 1998)
    • ed M Lachièze-Rey (Dordrecht: Kluwer)
    • Ellis G F R and van Eist H 1999 Cosmological models (Cargèse lectures 1998) Theoretical and Observational Cosmology ed M Lachièze-Rey (Dordrecht: Kluwer) p 1 (Ellis G F R and van Eist H 1998 Preprint gr-qc/9812046)
    • (1999) Theoretical and Observational Cosmology , pp. 1
    • Ellis, G.F.R.1    Van Eist, H.2
  • 17
    • 0042092598 scopus 로고    scopus 로고
    • Preprint gr-qc/9812046
    • Ellis G F R and van Eist H 1999 Cosmological models (Cargèse lectures 1998) Theoretical and Observational Cosmology ed M Lachièze-Rey (Dordrecht: Kluwer) p 1 (Ellis G F R and van Eist H 1998 Preprint gr-qc/9812046)
    • (1998)
    • Ellis, G.F.R.1    Van Eist, H.2
  • 18
    • 16444376083 scopus 로고    scopus 로고
    • Causal propagation of geometrical fields in relativistic cosmology
    • van Eist H and Ellis G F R 1999 Causal propagation of geometrical fields in relativistic cosmology Phys. Rev. D 59 024013
    • (1999) Phys. Rev. D , vol.59 , pp. 024013
    • Van Eist, H.1    Ellis, G.F.R.2
  • 19
    • 17044415361 scopus 로고    scopus 로고
    • Propagation of jump discontinuities in relativistic cosmology
    • van Eist H, Ellis G F R and Schmidt B G 2000 Propagation of jump discontinuities in relativistic cosmology Phys. Rev. D 62 104023
    • (2000) Phys. Rev. D , vol.62 , pp. 104023
    • Van Eist, H.1    Ellis, G.F.R.2    Schmidt, B.G.3
  • 20
    • 0031480325 scopus 로고    scopus 로고
    • General relativistic 1 + 3 orthonormal frame approach
    • van Eist H and Uggla C 1997 General relativistic 1 + 3 orthonormal frame approach Class. Quantum Grav. 14 2673
    • (1997) Class. Quantum Grav. , vol.14 , pp. 2673
    • Van Eist, H.1    Uggla, C.2
  • 22
    • 22244445878 scopus 로고    scopus 로고
    • Hyperbolic reductions for Einstein's equations
    • Friedrich H 1996 Hyperbolic reductions for Einstein's equations Class. Quantum Grav. 13 1451
    • (1996) Class. Quantum Grav. , vol.13 , pp. 1451
    • Friedrich, H.1
  • 23
  • 24
    • 0043094383 scopus 로고    scopus 로고
    • 2000 Preprint gr-qc/0002074
    • Friedrich H and Rendall A D 2000 The Cauchy problem for the Einstein equations Einstein's Field Equations and their Physical Interpretation ed B G Schmidt (Berlin: Springer) p 127 (Friedrich H and Rendall A D 2000 Preprint gr-qc/0002074)
    • Friedrich, H.1    Rendall, A.D.2
  • 25
    • 36149047434 scopus 로고
    • Isotropie singularities in cosmological models
    • Goode S W and Wainwright J 1985 Isotropie singularities in cosmological models Class. Quantum Grav. 2 99
    • (1985) Class. Quantum Grav. , vol.2 , pp. 99
    • Goode, S.W.1    Wainwright, J.2
  • 26
    • 0000775061 scopus 로고
    • Gravitational waves in closed universes
    • Gowdy R H 1971 Gravitational waves in closed universes Phys. Rev. Lett. 27 826
    • (1971) Phys. Rev. Lett. , vol.27 , pp. 826
    • Gowdy, R.H.1
  • 27
    • 0642300596 scopus 로고
    • Vacuum spacetimes and compact invariant hyperspaces: Topologies and boundary conditions
    • Gowdy R H 1974 Vacuum spacetimes and compact invariant hyperspaces: topologies and boundary conditions Ann. Phys., NY 83 203
    • (1974) Ann. Phys., NY , vol.83 , pp. 203
    • Gowdy, R.H.1
  • 29
    • 0031532793 scopus 로고    scopus 로고
    • 2 cosmologies: A class of inhomogeneous self-similar cosmological models
    • 2 cosmologies: a class of inhomogeneous self-similar cosmological models Class. Quantum Grav. 14 3073
    • (1997) Class. Quantum Grav. , vol.14 , pp. 3073
    • Hewitt, C.G.1
  • 30
    • 0001481291 scopus 로고
    • Qualitative analysis of a class of inhomogeneous self-similar cosmological models
    • Hewitt C G, Wainwright J and Goode S W 1988 Qualitative analysis of a class of inhomogeneous self-similar cosmological models Class. Quantum Grav. 5 1313
    • (1988) Class. Quantum Grav. , vol.5 , pp. 1313
    • Hewitt, C.G.1    Wainwright, J.2    Goode, S.W.3
  • 32
    • 4243773039 scopus 로고
    • Dynamical systems approach to tilted Bianchi cosmologies: Irrotational models of type V
    • Hewitt C G and Wainwright J 1992 Dynamical systems approach to tilted Bianchi cosmologies: irrotational models of type V Phys. Rev. D 46 4242
    • (1992) Phys. Rev. D , vol.46 , pp. 4242
    • Hewitt, C.G.1    Wainwright, J.2
  • 33
    • 0000673710 scopus 로고
    • Qualitative analysis of a class of inhomogeneous self-similar cosmological models. II
    • Hewitt C G, Wainwright J and Glaum M 1991 Qualitative analysis of a class of inhomogeneous self-similar cosmological models. II Class. Quantum Grav. 8 1505
    • (1991) Class. Quantum Grav. , vol.8 , pp. 1505
    • Hewitt, C.G.1    Wainwright, J.2    Glaum, M.3
  • 34
    • 0041171579 scopus 로고    scopus 로고
    • More about vacuum spacetimes with toroidal null infinities
    • Hübner P 1998 More about vacuum spacetimes with toroidal null infinities Class. Quantum Grav. 15 L21
    • (1998) Class. Quantum Grav. , vol.15
    • Hübner, P.1
  • 35
    • 45149141358 scopus 로고
    • Asymptotic behavior of the gravitational fields and the nature of singularities in Gowdy spacetimes
    • Isenberg J and Moncrief V 1990 Asymptotic behavior of the gravitational fields and the nature of singularities in Gowdy spacetimes Ann. Phys., NY 199 84
    • (1990) Ann. Phys., NY , vol.199 , pp. 84
    • Isenberg, J.1    Moncrief, V.2
  • 36
    • 0032378032 scopus 로고    scopus 로고
    • Analytic description of singularities in Gowdy spacetimes
    • Kichenassamy S and Rendall A D 1998 Analytic description of singularities in Gowdy spacetimes Class. Quantum Grav. 15 1339
    • (1998) Class. Quantum Grav. , vol.15 , pp. 1339
    • Kichenassamy, S.1    Rendall, A.D.2
  • 37
    • 0004319776 scopus 로고
    • Dynamics of primordial inhomogeneities in model universes
    • Liang E P 1976 Dynamics of primordial inhomogeneities in model universes Astrophys. J. 204 235
    • (1976) Astrophys. J. , vol.204 , pp. 235
    • Liang, E.P.1
  • 38
    • 84916699681 scopus 로고
    • Investigations in relativistic cosmology
    • Lifshitz E M and Khalatnikov I M 1963 Investigations in relativistic cosmology Adv. Phys. 12 185
    • (1963) Adv. Phys. , vol.12 , pp. 185
    • Lifshitz, E.M.1    Khalatnikov, I.M.2
  • 39
    • 0001879377 scopus 로고
    • Cosmological models from a geometric point of view
    • ed E Schatzman (New York: Gordon and Breach)
    • MacCallum M A H 1973 Cosmological models from a geometric point of view Cargèse Lectures in Physics vol 6 ed E Schatzman (New York: Gordon and Breach) p 61
    • (1973) Cargèse Lectures in Physics , vol.6 , pp. 61
    • MacCallum, M.A.H.1
  • 40
    • 0031528171 scopus 로고    scopus 로고
    • 2 perfect-fluid cosmologies with a proper conformal Killing vector
    • 2 perfect-fluid cosmologies with a proper conformal Killing vector Class. Quantum Grav. 14 2303
    • (1997) Class. Quantum Grav. , vol.14 , pp. 2303
    • Mars, M.1    Wolf, T.2
  • 41
    • 0000398910 scopus 로고
    • General relativistic dynamics of irrotational dust: Cosmological implications
    • Matarrese S, Pantano O and Saez D 1994 General relativistic dynamics of irrotational dust: cosmological implications Phys. Rev. Lett. 72 320
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 320
    • Matarrese, S.1    Pantano, O.2    Saez, D.3
  • 42
    • 29744431805 scopus 로고
    • Mixmaster Universe
    • Misner C W 1969 Mixmaster Universe Phys. Rev. Lett. 22 1071
    • (1969) Phys. Rev. Lett. , vol.22 , pp. 1071
    • Misner, C.W.1
  • 43
    • 21344439362 scopus 로고    scopus 로고
    • Cosmological solutions of the Vlasov-Einstein system with spherical, plane and hyperbolic symmetry
    • Rein G 1996 Cosmological solutions of the Vlasov-Einstein system with spherical, plane and hyperbolic symmetry Math. Proc. Camb. 119 739
    • (1996) Math. Proc. Camb. , vol.119 , pp. 739
    • Rein, G.1
  • 44
    • 0042593450 scopus 로고    scopus 로고
    • Private communication
    • Rendall A D 2001 Private communication
    • (2001)
    • Rendall, A.D.1
  • 45
    • 0035536851 scopus 로고    scopus 로고
    • Manufacture of Gowdy spacetimes with spikes
    • Rendall A D and Weaver M 2001 Manufacture of Gowdy spacetimes with spikes Class. Quantum Grav. 18 2959
    • (2001) Class. Quantum Grav. , vol.18 , pp. 2959
    • Rendall, A.D.1    Weaver, M.2
  • 46
    • 0034338081 scopus 로고    scopus 로고
    • Curvature blow up in Bianchi VIII and IX vacuum spacetimes
    • Ringström H 2000 Curvature blow up in Bianchi VIII and IX vacuum spacetimes Class. Quantum Grav. 17 713
    • (2000) Class. Quantum Grav. , vol.17 , pp. 713
    • Ringström, H.1
  • 47
    • 35949006159 scopus 로고
    • General class of inhomogeneous perfect-fluid solutions
    • Ruiz E and Senovilla J M M 1992 General class of inhomogeneous perfect-fluid solutions Phys. Rev. D 45 1995
    • (1992) Phys. Rev. D , vol.45 , pp. 1995
    • Ruiz, E.1    Senovilla, J.M.M.2
  • 49
    • 0032360808 scopus 로고    scopus 로고
    • 2 cosmological models separable in non-comoving coordinates
    • 2 cosmological models separable in non-comoving coordinates Class. Quantum Grav. 15 1737
    • (1998) Class. Quantum Grav. , vol.15 , pp. 1737
    • Senovilla, J.M.M.1    Vera, R.2
  • 50
    • 0034894234 scopus 로고    scopus 로고
    • New family of inhomogeneous γ-law cosmologies: Example of gravitational waves in a homogeneous p = ρ/3 background
    • Senovilla J M M and Vera R 2001 New family of inhomogeneous γ-law cosmologies: example of gravitational waves in a homogeneous p = ρ/3 background Phys. Rev. D 63 084008
    • (2001) Phys. Rev. D , vol.63 , pp. 084008
    • Senovilla, J.M.M.1    Vera, R.2
  • 51
    • 33749352830 scopus 로고
    • Solutions of Einstein's equations for a fluid which exhibit local rotational symmetry
    • Stewart J M and Ellis G F R 1968 Solutions of Einstein's equations for a fluid which exhibit local rotational symmetry J. Math. Phys. 9 1072
    • (1968) J. Math. Phys. , vol.9 , pp. 1072
    • Stewart, J.M.1    Ellis, G.F.R.2
  • 52
  • 54
    • 0001046653 scopus 로고
    • Exact hypersurface-homogeneous solutions in cosmology and astrophysics
    • Uggla C, Jantzen R T and Rosquist K 1995 Exact hypersurface-homogeneous solutions in cosmology and astrophysics Phys. Rev. D 51 5522
    • (1995) Phys. Rev. D , vol.51 , pp. 5522
    • Uggla, C.1    Jantzen, R.T.2    Rosquist, K.3
  • 56
    • 0001140377 scopus 로고
    • Some exact inhomogeneous cosmologies with equation of state p = γ μ
    • Wainwright J and Goode S W 1980 Some exact inhomogeneous cosmologies with equation of state p = γ μ Phys. Rev. D 22 1906
    • (1980) Phys. Rev. D , vol.22 , pp. 1906
    • Wainwright, J.1    Goode, S.W.2
  • 57
    • 0033413295 scopus 로고    scopus 로고
    • Asymptotic self-similarity breaking at late times in cosmology
    • Wainwright J, Hancock M J and Uggla C 1999 Asymptotic self-similarity breaking at late times in cosmology Class. Quantum Grav. 16 2577
    • (1999) Class. Quantum Grav. , vol.16 , pp. 2577
    • Wainwright, J.1    Hancock, M.J.2    Uggla, C.3


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