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Volumn 41, Issue 46, 2008, Pages

Global integrability of cosmological scalar fields

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EID: 58149330170     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/46/465101     Document Type: Article
Times cited : (37)

References (68)
  • 1
    • 0001181633 scopus 로고
    • A connection between nonlinear evolution equations and ordinary differential equations of P-type i
    • Ablowitz M J, Ramani A and Segur H 1980 A connection between nonlinear evolution equations and ordinary differential equations of P-type I J. Math. Phys. 27 15-721
    • (1980) J. Math. Phys. , vol.27 , pp. 15-721
    • Ablowitz, M.J.1    Ramani, A.2    Segur, H.3
  • 2
    • 0002929242 scopus 로고
    • On second order linear differential equations with algebraic solutions
    • Baldassarri F and Dwork B 1979 On second order linear differential equations with algebraic solutions Am. J. Math. 101 42-76
    • (1979) Am. J. Math. , vol.101 , Issue.1 , pp. 42-76
    • Baldassarri, F.1    Dwork, B.2
  • 3
    • 1542749467 scopus 로고
    • On second order linear differential equations with algebraic solutions on algebraic curves
    • Baldassarri F 1980 On second order linear differential equations with algebraic solutions on algebraic curves Am. J. Math. 102 517-35
    • (1980) Am. J. Math. , vol.102 , Issue.3 , pp. 517-535
    • Baldassarri, F.1
  • 4
    • 0002741667 scopus 로고
    • On algebraic solutions of Lamé's differential equation
    • Baldassarri F 1981 On algebraic solutions of Lamé's differential equation J. Differ. Eqns 41 44-58
    • (1981) J. Differ. Eqns , vol.41 , Issue.1 , pp. 44-58
    • Baldassarri, F.1
  • 5
    • 58149360151 scopus 로고
    • Towards Schwarz list for Lamé's differential operators via division points on elliptic curves
    • Baldassarri F 1986-1987 Towards Schwarz list for Lamé's differential operators via division points on elliptic curves Groupe Etude Anal. Ultrametrique 14 p 1-17 (exp no 22)
    • (1986) Groupe Etude Anal. Ultrametrique , vol.14 , pp. 1-17
    • Baldassarri, F.1
  • 6
    • 8744299501 scopus 로고
    • Soluzioni algebriche dell'equazione di Lamé e torsione delle curve ellittiche (Algebraic solutions of the Lamé equation and torsion of elliptic curves)
    • Baldassarri F 1987 Soluzioni algebriche dell'equazione di Lamé e torsione delle curve ellittiche (Algebraic solutions of the Lamé equation and torsion of elliptic curves) Rend. Semin. Mat. Fis. Milano 57 203-13
    • (1987) Rend. Semin. Mat. Fis. Milano , vol.57 , Issue.1 , pp. 203-213
    • Baldassarri, F.1
  • 7
    • 0040620729 scopus 로고
    • An algorithm for computing a companion block diagonal form for a system of linear differential equations
    • Barkatou A 1993 An algorithm for computing a companion block diagonal form for a system of linear differential equations Appl. Algebra Eng. Commun. Comput. 4 185-95
    • (1993) Appl. Algebra Eng. Commun. Comput. , vol.4 , Issue.3 , pp. 185-195
    • Barkatou, A.1
  • 8
    • 0002375037 scopus 로고
    • Differential Galois theory
    • Beukers F 1992 Differential Galois theory From number theory to physics (Les Houches, 1989) (Berlin: Springer) pp 413-439
    • (1992) From Number Theory to Physics , pp. 413-439
    • Beukers, F.1
  • 9
    • 1042268386 scopus 로고    scopus 로고
    • Lamé equations with algebraic solutions
    • Beukers F and van der Waall A 2004 Lamé equations with algebraic solutions J. Diff. Eqns 197 1-25
    • (2004) J. Diff. Eqns , vol.197 , Issue.1 , pp. 1-25
    • Beukers, F.1    Van Der Waall, A.2
  • 11
    • 0032338853 scopus 로고    scopus 로고
    • Chaos in Robertson-Walker cosmology
    • Bombelli L, Lombardo F and Castagnino M 1998 Chaos in Robertson-Walker cosmology J. Math. Phys. 39 6040-50 (arXiv:gr-qc/9707051)
    • (1998) J. Math. Phys. , vol.39 , Issue.11 , pp. 6040-6050
    • Bombelli, L.1    Lombardo, F.2    Castagnino, M.3
  • 12
    • 34547429353 scopus 로고    scopus 로고
    • About the non-integrability of the Friedmann-Robertson-Walker cosmological model
    • Boucher D and Weil J-A 2007 About the non-integrability of the Friedmann-Robertson-Walker cosmological model Braz. J. Phys. 37 398-405
    • (2007) Braz. J. Phys. , vol.37 , pp. 398-405
    • Boucher, D.1    Weil, J.-A.2
  • 13
    • 32644464437 scopus 로고    scopus 로고
    • Clarifying inflation models: Slow-roll as an expansion in 1/N(efolds) and no fine tuning
    • Boyanovsky D, de Vega H J and Sanchez N G 2006 Clarifying inflation models: slow-roll as an expansion in 1/N(efolds) and no fine tuning Phys. Rev. D 73 023008 (arXiv:astro-ph/0507595)
    • (2006) Phys. Rev. , vol.73 , Issue.2 , pp. 023008
    • Boyanovsky, D.1    De Vega, H.J.2    Sanchez, N.G.3
  • 14
    • 11744309906 scopus 로고    scopus 로고
    • Cosmological imprint of an energy component with general equation-of-state
    • Caldwell R R, Dave R and Steinhardt P J 1998 Cosmological imprint of an energy component with general equation-of-state Phys. Rev. Lett. 80 1582-5 (arXiv:astro-ph/9708069)
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.8 , pp. 1582-1585
    • Caldwell, R.R.1    Dave, R.2    Steinhardt, P.J.3
  • 15
    • 0037015816 scopus 로고    scopus 로고
    • A phantom menace?
    • Caldwell R R 2002 A phantom menace? Phys. Lett. B 545 23-9 (arXiv:astro-ph/9908168)
    • (2002) Phys. Lett. , vol.545 , Issue.1-2 , pp. 23-29
    • Caldwell, R.R.1
  • 16
    • 0001978661 scopus 로고
    • A New improved energy-momentum tensor
    • Callan C G, Coleman S R and Jackiw R 1970 A New improved energy-momentum tensor Ann. Phys. 59 42-73
    • (1970) Ann. Phys. , vol.59 , Issue.1 , pp. 42-73
    • Callan, C.G.1    Coleman, S.R.2    Jackiw, R.3
  • 17
    • 21144471131 scopus 로고
    • Chaotic Friedmann-Robertson-Walker Cosmology
    • Calzetta E and El Hasi C 1993 Chaotic Friedmann-Robertson-Walker Cosmology Class. Quant. Grav. 10 1825-41 (arXiv:gr-qc/9211027)
    • (1993) Class. Quant. Grav. , vol.10 , Issue.9 , pp. 1825-1841
    • Calzetta, E.1    El Hasi, C.2
  • 18
    • 3843120703 scopus 로고    scopus 로고
    • Asymptotic behavior of FRW cosmologies with many scalar fields
    • Castagnino M, Giacomini H and Lara L 2002 Asymptotic behavior of FRW cosmologies with many scalar fields Phys. Rev. D 65 023509
    • (2002) Phys. Rev. , vol.65 , Issue.2 , pp. 023509
    • Castagnino, M.1    Giacomini, H.2    Lara, L.3
  • 20
    • 0042044376 scopus 로고    scopus 로고
    • Two generator subgroups of and the hypergeometric, Riemann, and Lamé equations
    • Churchill R C 1999 Two generator subgroups of and the hypergeometric, Riemann, and Lamé equations J. Symbolic Comput. 28 521-45
    • (1999) J. Symbolic Comput. , vol.28 , Issue.4-5 , pp. 521-545
    • Churchill, R.C.1
  • 21
    • 38949174919 scopus 로고    scopus 로고
    • On the integrability of Friedmann-Roberstson-Walker models with conformally coupled massive scalar fields
    • Coelho L A A, Skea J E F and Stuchi T J 2008 On the integrability of Friedmann-Roberstson-Walker models with conformally coupled massive scalar fields J. Phys. A: Math. Theor. 41 075401
    • (2008) J. Phys. A: Math. Theor. , vol.41 , Issue.7 , pp. 075401
    • Coelho, L.A.A.1    Skea, J.E.F.2    Stuchi, T.J.3
  • 23
    • 3843136193 scopus 로고    scopus 로고
    • Chaos in quantum cosmology
    • Cornish N J and Shellard E P S 1998 Chaos in quantum cosmology Phys. Rev. Lett. 81 3571-4 (arXiv:gr-qc/9708046)
    • (1998) Phys. Rev. Lett. , vol.81 , Issue.17 , pp. 3571-3574
    • Cornish, N.J.1    Shellard, E.P.S.2
  • 24
    • 58149355639 scopus 로고    scopus 로고
    • Counting integral Lamé equations by means of dessins d'enfants
    • Dahmen S R 2006 Counting integral Lamé equations by means of dessins d'enfants Trans. Am. Math. Soc. 359 909-22
    • (2006) Trans. Am. Math. Soc. , vol.359 , Issue.2 , pp. 909-922
    • Dahmen, S.R.1
  • 25
    • 0034700425 scopus 로고    scopus 로고
    • Decay of cosmological constant as Bose condensate evaporation
    • Dymnikova I and Khlopov M 2000 Decay of cosmological constant as Bose condensate evaporation Mod. Phys. Lett. A 15 2305-14 (arXiv:astro-ph/0102094)
    • (2000) Mod. Phys. Lett. , vol.15 , pp. 2305-2314
    • Dymnikova, I.1    Khlopov, M.2
  • 26
    • 23044530833 scopus 로고    scopus 로고
    • A crucial ingredient of inflation
    • Faraoni V 2001 A crucial ingredient of inflation Int. J. Theor. Phys. 40 2259-94 (arXiv:hep-th/0009053)
    • (2001) Int. J. Theor. Phys. , vol.40 , Issue.12 , pp. 2259-2294
    • Faraoni, V.1
  • 27
    • 0036000610 scopus 로고    scopus 로고
    • Superquintessence
    • Faraoni V 2002 Superquintessence Int. J. Mod. Phys. D 11 471-81 (arXiv:astro-ph/0110067)
    • (2002) Int. J. Mod. Phys. , vol.11 , Issue.4 , pp. 471-481
    • Faraoni, V.1
  • 28
    • 33745813899 scopus 로고    scopus 로고
    • Non-chaotic dynamics in general-relativistic and scalar-tensor cosmology
    • Faraoni V, Jensen M N and Theuerkauf S A 2006 Non-chaotic dynamics in general-relativistic and scalar-tensor cosmology Class. Quant. Grav. 23 4215-29 (arXiv:gr-qc/0605050)
    • (2006) Class. Quant. Grav. , vol.23 , Issue.12 , pp. 4215-4229
    • Faraoni, V.1    Jensen, M.N.2    Theuerkauf, S.A.3
  • 29
    • 33750827534 scopus 로고
    • Dynamical symmetry breaking due to radiative corrections in cosmology
    • Ford L H and Toms D J 1982 Dynamical symmetry breaking due to radiative corrections in cosmology Phys. Rev. D 25 1510-8
    • (1982) Phys. Rev. , vol.25 , Issue.6 , pp. 1510-1518
    • Ford, L.H.1    Toms, D.J.2
  • 30
    • 0000374694 scopus 로고
    • Chaotic inflationary scenario of the universe with a nonminimally coupled inflaton field
    • Futamase T and Maeda K 1989 Chaotic inflationary scenario of the universe with a nonminimally coupled inflaton field Phys. Rev. D 39 399-404
    • (1989) Phys. Rev. , vol.39 , Issue.2 , pp. 399-404
    • Futamase, T.1    Maeda, K.2
  • 31
    • 18144429793 scopus 로고    scopus 로고
    • Analytic non-integrability of an integrable analytic Hamiltonian system
    • Gorni G and Zampieri G 2005 Analytic non-integrability of an integrable analytic Hamiltonian system Differ. Geom. Appl. 22 287-96
    • (2005) Differ. Geom. Appl. , vol.22 , Issue.3 , pp. 287-296
    • Gorni, G.1    Zampieri, G.2
  • 32
    • 33749158975 scopus 로고    scopus 로고
    • Parametrization of quintessence and its potential
    • Guo Z K, Ohta N and Zhang Y Z 2005 Parametrization of quintessence and its potential Phys. Rev. D 72 023504 (arXiv:astro-ph/0505253)
    • (2005) Phys. Rev. , vol.72 , Issue.2 , pp. 023504
    • Guo, Z.K.1    Ohta, N.2    Zhang, Y.Z.3
  • 33
    • 0040215985 scopus 로고
    • Direct methods for the search of the second invariant
    • Hietarinta J 1987 Direct methods for the search of the second invariant Phys. Rep. 147 87-154
    • (1987) Phys. Rep. , vol.147 , Issue.2 , pp. 87-154
    • Hietarinta, J.1
  • 34
    • 0002403971 scopus 로고
    • Calculable nonminimal coupling of composite scalar bosons to gravity
    • Hill C T and Salopek D S 1992 Calculable nonminimal coupling of composite scalar bosons to gravity Ann. Phys. 213 21-30
    • (1992) Ann. Phys. , vol.213 , Issue.1 , pp. 21-30
    • Hill, C.T.1    Salopek, D.S.2
  • 35
    • 0000319410 scopus 로고    scopus 로고
    • Non-integrability and chaos in classical cosmology
    • Helmi A and Vucetich H 1997 Non-integrability and chaos in classical cosmology Phys. Lett A 230 153-6 (arXiv:gr-qc/9705009)
    • (1997) Phys. Lett , vol.230 , Issue.3-4 , pp. 153-156
    • Helmi, A.1    Vucetich, H.2
  • 36
    • 0842325963 scopus 로고    scopus 로고
    • Chaos in closed FRW: An imaginary approach
    • Joras S E and Stuchi T J 2003 Chaos in closed FRW: an imaginary approach Phys. Rev. D 68 123525 (arXiv:gr-qc/0307044)
    • (2003) Phys. Rev. , vol.68 , Issue.12 , pp. 123525
    • Joras, S.E.1    Stuchi, T.J.2
  • 38
    • 0039452817 scopus 로고
    • On Riemann's equations which are solvable by quadratures
    • Kimura T 1969 On Riemann's equations which are solvable by quadratures Funkcialaj Ekvacioj 12 269-81
    • (1969) Funkcialaj Ekvacioj , vol.12 , pp. 269-281
    • Kimura, T.1
  • 40
    • 41549083615 scopus 로고
    • An algorithm for solving second order linear homogeneous differential equations
    • Kovacic J J 1986 An algorithm for solving second order linear homogeneous differential equations J. Symb. Comput. 2 3-43
    • (1986) J. Symb. Comput. , vol.2 , Issue.1 , pp. 3-43
    • Kovacic, J.J.1
  • 43
    • 0000511848 scopus 로고
    • A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems
    • Linde A D 1982 A new inflationary universe scenario: a possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems Phys. Lett. B 108 389-93
    • (1982) Phys. Lett. , vol.108 , Issue.6 , pp. 389-393
    • Linde, A.D.1
  • 44
    • 0040782138 scopus 로고    scopus 로고
    • Towards a description of complexity of the simplest cosmological systems
    • Maciejewski A J and Szydłowski M 2000 Towards a description of complexity of the simplest cosmological systems J. Phys. A: Math. Gen. 33 9241-54
    • (2000) J. Phys. A: Math. Gen. , vol.33 , Issue.50 , pp. 9241-9254
    • MacIejewski, A.J.1    Szydłowski, M.2
  • 45
    • 21844436809 scopus 로고    scopus 로고
    • Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential
    • Maciejewski A J and Przybylska M 2005 Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential J. Math. Phys. 46 062901
    • (2005) J. Math. Phys. , vol.46 , Issue.6 , pp. 062901
    • MacIejewski, A.J.1    Przybylska, M.2
  • 46
    • 14044269442 scopus 로고    scopus 로고
    • Non-integrability of Gross-Neveu systems
    • Maciejewski A J, Przybylska M and Stachowiak T 2005 Non-integrability of Gross-Neveu systems Physica D 201 249-67
    • (2005) Physica , vol.201 , Issue.3-4 , pp. 249-267
    • MacIejewski, A.J.1    Przybylska, M.2    Stachowiak, T.3
  • 48
    • 0346552276 scopus 로고    scopus 로고
    • Chaos in preinflationary Friedmann-Robertson-Walker universes
    • Monerat G A, de Oliveira H P and Soares I D 1998 Chaos in preinflationary Friedmann-Robertson-Walker universes Phys. Rev. D 58 063504 (arXiv:gr-qc/9803046)
    • (1998) Phys. Rev. , vol.58 , Issue.6 , pp. 063504
    • Monerat, G.A.1    De Oliveira, H.P.2    Soares, I.D.3
  • 50
    • 0347700780 scopus 로고    scopus 로고
    • Kovalevskaya, Liapounov, Painlevé, Ziglin and the Differential Galois theory
    • Morales-Ruiz J J 2000 Kovalevskaya, Liapounov, Painlevé, Ziglin and the Differential Galois theory Reg. Chaot. Dyn. 5 251-72
    • (2000) Reg. Chaot. Dyn. , vol.5 , Issue.3 , pp. 251-272
    • Morales-Ruiz, J.J.1
  • 51
    • 0010066309 scopus 로고    scopus 로고
    • Galoisian obstructions to integrability of Hamiltonian systems i
    • Morales-Ruiz J J and Ramis J-P 2001 Galoisian obstructions to integrability of Hamiltonian systems I Methods Appl. Anal. 8 33-95
    • (2001) Methods Appl. Anal. , vol.8 , pp. 33-95
    • Morales-Ruiz, J.J.1    Ramis, J.-P.2
  • 52
    • 43449124446 scopus 로고    scopus 로고
    • Integrability of Hamiltonian systems and differential Galois groups of higher variational equations
    • Morales-Ruiz J J, Ramis J-P and Simó C 2007 Integrability of Hamiltonian systems and differential Galois groups of higher variational equations Ann. Scient. Ic. Norm. Sup. 40 845-84
    • (2007) Ann. Scient. Ic. Norm. Sup. , vol.40 , pp. 845-884
    • Morales-Ruiz, J.J.1    Ramis, J.-P.2    Simó, C.3
  • 54
    • 85038273688 scopus 로고    scopus 로고
    • FRW cosmologies between chaos and integrability
    • Motter A E and Letelier P S 2002 FRW cosmologies between chaos and integrability Phys. Rev. D 65 068502 (arXiv:gr-qc/0202083)
    • (2002) Phys. Rev. , vol.65 , Issue.6 , pp. 068502
    • Motter, A.E.1    Letelier, P.S.2
  • 55
    • 0033147122 scopus 로고    scopus 로고
    • Measurements of Omega and Lambda from 42 high-redshift supernovae
    • Perlmutter S et al (Supernova Cosmology Project Collaboration) 1999 Measurements of Omega and Lambda from 42 high-redshift supernovae Astrophys. J. 517 565-86 (arXiv:astro-ph/9812133)
    • (1999) Astrophys. J. , vol.517 , Issue.2 , pp. 565-586
    • Perlmutter, S.1    Al, E.2
  • 57
    • 0039243415 scopus 로고    scopus 로고
    • Observational evidence from supernovae for an accelerating universe and a cosmological constant
    • Riess A G et al (Supernova Search Team Collaboration) 1998 Observational evidence from supernovae for an accelerating universe and a cosmological constant Astron. J. 116 1009-38 (arXiv:astro-ph/9805201)
    • (1998) Astron. J. , vol.116 , Issue.3 , pp. 1009-1038
    • Riess, A.G.1    Al, E.2
  • 61
    • 46149132921 scopus 로고
    • Existence of exponentially unstable periodic solutions and the non-integrability of homogeneous Hamiltonian systems
    • Yoshida H 1986 Existence of exponentially unstable periodic solutions and the non-integrability of homogeneous Hamiltonian systems Physica D 21 163-70
    • (1986) Physica , vol.20 , Issue.1 , pp. 163-170
    • Yoshida, H.1
  • 62
    • 0001875730 scopus 로고
    • A criterion for the nonexistence of an additional integral in Hamiltonian systems with a homogeneous potential
    • Yoshida H 1987 A criterion for the nonexistence of an additional integral in Hamiltonian systems with a homogeneous potential Physica D 29 128-42
    • (1987) Physica , vol.29 , Issue.1-2 , pp. 128-142
    • Yoshida, H.1
  • 63
    • 0000792724 scopus 로고
    • A note on Kowalevski exponents and the nonexistence of an additional analytic integral
    • Yoshida H 1988 A note on Kowalevski exponents and the nonexistence of an additional analytic integral Celest. Mech. 44 313-6
    • (1988) Celest. Mech. , vol.44 , Issue.4 , pp. 313-316
    • Yoshida, H.1
  • 64
    • 0000625370 scopus 로고
    • A criterion for the nonexistence of an additional analytic integral in Hamiltonian systems with n degrees of freedom
    • Yoshida H 1989 A criterion for the nonexistence of an additional analytic integral in Hamiltonian systems with n degrees of freedom Phys. Lett. A 141 108-12
    • (1989) Phys. Lett. , vol.141 , Issue.3-4 , pp. 108-112
    • Yoshida, H.1
  • 65
    • 0041020915 scopus 로고
    • Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics i
    • Ziglin S L 1982 Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics I Funct. Anal. Appl. 16 181-9
    • (1982) Funct. Anal. Appl. , vol.16 , Issue.3 , pp. 181-189
    • Ziglin, S.L.1
  • 66
    • 14344258193 scopus 로고
    • Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics II
    • Zigli S L 1983 Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics II Funct. Anal. Appl. 17 6-17
    • (1983) Funct. Anal. Appl. , vol.17 , Issue.1 , pp. 6-17
    • Zigli, S.L.1
  • 67
    • 28844451329 scopus 로고    scopus 로고
    • On the non-integrability of a dynamical system of the general relativity
    • Ziglin S L 2000 On the non-integrability of a dynamical system of the general relativity Regul. Chaotic Dyn. 5 225-6
    • (2000) Regul. Chaotic Dyn. , vol.5 , Issue.2 , pp. 225-226
    • Ziglin, S.L.1
  • 68
    • 0001544612 scopus 로고    scopus 로고
    • Quintessence, Cosmic Coincidence, and the Cosmological Constant
    • Zlatev I, Wang L M and Steinhardt P J 1999 Quintessence, Cosmic Coincidence, and the Cosmological Constant Phys. Rev. Lett. 82 896-9 (arXiv:astro-ph/9807002)
    • (1999) Phys. Rev. Lett. , vol.82 , Issue.5 , pp. 896-899
    • Zlatev, I.1    Wang, L.M.2    Steinhardt, P.J.3


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