Inflation, bifurcations of nonlinear curvature lagrangians and dark energy

11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity

Volumn , Issue , 2008, Pages 824-843

  Mielke, Eckehard W ^a   Kusmartsev, Fjodor V ^b   Schunck, Franz E ^c  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^c UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DARK ENERGY; DARK MATTER; GALAXIES; RELATIVITY;

BIFURCATION SET; COSMOLOGICAL CONSTANTS; EFFECTIVE LAGRANGIAN; LARGE-SCALE DISTRIBUTION; NONLINEAR CURVATURES;

GRAVITATION;

EID: 84892984952     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1142/9789812834300_0039     Document Type: Conference Paper

References (67)

1. S. Ando, "Can dark matter annihilation dominate the extragalactic gamma-ray background?", Phys. Rev. Lett. 94, 171303 (2005).
2. V.I. Arnol'd: Catastrophe Theory, Third, revised and expanded edition (Springer-Verlag, Berlin 1992).
3. J.D. Bekenstein, "Relativistic gravitation theory for the MOND paradigm", Phys. Rev. D 70, 083509 (2004).
4. J. Benitez, A. Macias, E.W. Mielke, O. Obregón, and V.M. Villanueva, "From inflationary COBE potentials to higher-order curvature scalar Lagrangians", Int. J. Mod. Phys. A 12, 2835 (1997).
5. L. Bergström, J. Edsjö, M. Gustafsson, and P. Salati, "Is the dark matter interpretation of the EGRET gamma excess compatible with antiproton measurements?", JCAP 0605, 6 (2006).
6. S.M. Carroll, V. Duvvuri, M. Trodden, and M.S. Turner, "Is cosmic speed-up due to new gravitational physics?", Phys. Rev. D 70, 043528 (2004).
7. S.M. Carroll, I. Sawicki, A. Silvestri, and M. Trodden, "Modified-source gravity and cosmo-logical structure formation", New Journal of Phys. 8, 323 (2006).
8. W. de Boer, "Evidence for dark matter annihilation from galactic gamma rays?", New Astron. Rev. 49, 213 (2005).
9. S. Dodelson and M. Liguori, "Can cosmic structure form without dark matter?", Phys. Rev. Lett. 97, 231301 (2006).
10. B. Fuchs, "Constraints on the decomposition of the rotation curves of spiral galaxies", Proc. of the 4th International Workshop on the Identification of Dark Matter (IDM 2002), York, England, 2-6 Sep 2002, e-Print: astro-ph/0212485.
11. B. Fuchs and E.W. Mielke, "Scaling behaviour of a scalar field model of dark matter haloes", Mon. Not. R. Astron. Soc. 350, 707-709 (2004).
12. M.K. Gaillard and B. Kain, "Is the universal string axion the QCD axion?", Nucl. Phys. B 734, 116 (2006).
13. A. Garcia, A. Macías, and E.W. Mielke, "Stewart-Lyth second-order approach as an Abel equation for reconstructing inflationary dynamics", Phys. Lett. A 229, 32 (1997).
14. H. Hoekstra, H.K.C. Yee, and M.D. Gladders, "Properties of galaxy dark matter halos from weak lensing", Astrophys. J. 606, 67 (2004).
15. D.A. Howell et al., "The type la supernova SNLS-03D3bb from a super-Chandrasekhar-mass white dwarf star", Nature 443, 308-311 (2006).
16. W. Hu, R. Barkana, and A. Gruzinov, "Fuzzy cold dark matter: The wave properties of ultralight particles", Phys. Rev. Lett. 85, 1158 (2000).
17. K.R.W. Jones and D. Bernstein, "The self-gravitating Bose-Einstein condensate", Class. Quantum Grav. 18, 1513 (2001).
18. T.W.B. Kibble, "Some implications of a cosmological phase transition", Phys. Rept. 67, 183 (1980).
19. T.W.B. Kibble, "Symmetry breaking and defects", Symmetry breaking and defects.
20. W.H. Kinney, E.W. Kolb, A. Melchiorri, and A. Riotto, "Inflation model constraints from the Wilkinson microwave anisotropy probe three-year data", Phys. Rev. D 74, 023502 (2006).
21. F.V. Kusmartsev, "Application of catastrophe theory to molecules and solitons", Phys. Rept. 183, 1 (1989).
22. F.V. Kusmartsev, E.W. Mielke, Yu.N. Obukhov, and F.E. Schunck, "Classification of inflationary Einstein-scalar-field-models via catastrophe theory", Phys. Rev. D 51, 924 (1995).
23. F.V. Kusmartsev, E.W. Mielke, and F.E. Schunck, "Gravitational stability of boson stars", Phys. Rev. D 43, 3895 (1991).
24. F.V. Kusmartsev, E.W. Mielke, and F.E. Schunck, "Stability of neutron and boson stars: a new approach based on catastrophe theory", Phys. Lett. A 157, 465 (1991).
25. A.R. Liddle and L.A. Urena-Lopez, "Inflation, dark matter and dark energy in the string landscape", Phys. Rev. Lett. 97, 161301 (2006).
26. A. Linde: Inflation and Quantum Cosmology (Academic Press, San Diego, 1990).
27. G. Magnano and L.M. Sokolowski, "Physical equivalence between nonlinear gravity theories and a general-relativistic self-gravitating scalar field", Phys. Rev. D 50, 5039 (1994).
28. R. Massey et al., "Dark matter maps reveal cosmic scaffolding", Nature 445, 286-290 (2007).
29. R.B. Metcalf and J. Silk, "New constraints on macroscopic compact objects as dark matter candidates from grav. lensing of type Ia supernovae", Phys. Rev. Lett. 98, 071302 (2007).
30. E.W. Mielke, "Conformai changes of metrics and the initial-value problem of general relativity", Gen. Rel. Grav. 8, 321 (1977).
31. E.W. Mielke, "Note on localized solutions of a nonlinear Klein-Gordon equation related to Riemannian geometry", Phys. Rev. D 18, 4525-4528 (1978).
32. E.W. Mielke, "Mass formular for solitons with quantized charge", Lett. Nuovo Cim. 25, 424 (1979).
33. E.W. Mielke, "On pseudoparticle solutions in Yang's theory of gravity", Gen. Rel. Grav. 13, 175-187 (1981).
34. E.W. Mielke, B. Fuchs, and F.E. Schunck: "Dark matter halos as Bose-Einstein condensates", Proc. of the Tenth Marcel Grossman Meeting on General Relativity, Rio de Janeiro, 2003, M. Novello, S. Perez-Bergliaffa, and R. Ruffini, eds. (World Scient., Sing. 2006), p. 39-58.
35. E.W. Mielke and F.W. Hehl, "Comment on: General relativity without the metric", Phys. Rev. Lett. 67, 1370 (1991).
36. E.W. Mielke and H.H. Peralta, "Eigenvalues of the third order slow-roll approximation of inflation", Phys. Rev. D 66, 123505 (2002).
37. E.W. Mielke and H.H. Peralta, "Flattened halos in a nontopological soliton model of dark matter", Phys. Rev. D 70, 123509 (2004).
38. E.W. Mielke and A.A. Rincón Maggiolo, "Duality in Yang's theory of gravity", Gen. Rel. Grav. 37, 997-1007 (2005).
39. E.W. Mielke and E.S. Romero (2006), "Cosmological evolution of a torsion-induced quin-taxion", Phys. Rev. D 73, 043521 (2006).
40. E.W. Mielke and F.E. Schunck, "Reconstructing the inflaton potential for an almost flat COBE spectrum", Phys. Rev. D 52, 672 (1995).
41. E.W. Mielke and F.E. Schunck, "Boson stars: Alternatives to primordial black holes?", Nucl. Phys. B 564, 185 (2000).
42. E.W. Mielke and F.E. Schunck, "Are axidilaton stars massive compact halo objects?", Gen. Rel. Grav. 33, 805-813 (2001).
43. E.W. Mielke and F.E. Schunck, "Non-topological scalar soliton as dark matter halo", Phys. Rev. D 66, 023503 (2002).
44. E.W. Mielke, F.E. Schunck, and H.H. Peralta, "Scalar soliton in Newtonian gravity modelling dark matter halos", Gen. Rel. Grav. 34, 1919-1930 (2002).
45. E.W. Mielke and J.A. Vélez Pérez, "Toroidal halos in a nontopological soliton model of dark matter", Phys. Rev. D 75, 043504 (2007).
46. J. Milnor: Lectures on Morse Theory, Ann. Math. Studies No. 51 (Princeton University Press, Princeton, New York, 1963).
47. F. Mueller-Hoissen, "From Chern-Simons to Gauss-Bonnet", Nucl. Phys. B 346, 235 (1990).
48. S. Nojiri and S.D. Odintsov, "Modified f(R) gravity consistent with realistic cosmology: From matter dominated epoch to dark energy universe", Phys. Rev. D 74, 086005 (2006).
49. O. Obregon, L.A. Urena-Lopez, and F.E. Schunck, "Oscillatons formed by nonlinear gravity," Phys. Rev. D 72, 024004 (2005).
50. R.D. Peccei, "Reflections on the strong CP problem", Nucl. Phys. Proc. Suppl. 72, 3 (1999).
51. C. Savage, K. Freese, and W.H. Kinney, "Natural inflation: Status after WMAP 3-year data", Phys. Rev. D 74, 123511 (2006).
52. R. Schimming and H.J. Schmidt, "On the history of fourth order metric theories of gravitation", NTM Schriftenr. Gesch. Naturw. Tech. Med. 27, 41 (1990).
53. F.E. Schunck, "A scalar field matter model for dark halos of galaxies and gravitational redshift", A scalar field matter model for dark halos of galaxies and gravitational redshift.
54. F.E. Schunck, B. Fuchs, and E.W. Mielke, "Scalar field haloes as gravitational lenses", Mon. Not. R. Astron. Soc. 369, 485-491 (2006).
55. F.E. Schunck, F.V. Kusmartsev, and E.W. Mielke, "Dark matter problem and effective curvature Lagrangians", Gen. Rel. Grav. 37, 1427-1433 (2005).
56. F.E. Schunck and E.W. Mielke, "A new method of generating exact inflationary solutions", Phys. Rev. D 50, 4794 (1994).
57. F.E. Schunck and E.W. Mielke, "Eigenvalues of the Stewart-Lyth equation for inflation with a blue spectrum", Phys. Lett. B 485, 231-238 (2000).
58. F.E. Schunck and E.W. Mielke, "TOPICAL REVIEW: General relativistic boson stars", Class. Quantum Grav. 20, R301 (2003).
59. F.E. Schunck and O. Obregón, "Self-gravitating complex scalar fields conformally transformed into higher-order gravity: Inflation and boson stars", preprint (1997).
60. D.N. Spergel and P.J. Steinhardt, "Observational evidence for self-interacting cold dark matter", Phys. Rev. Lett. 84, 3760 (2000).
61. D.N. Spergel et al., "First-year Wilkinson microwave anisotropy probe (WMAP) Observations: Determination of cosmological parameters", Astrophys. J. Suppl. 148, 175 (2003)
62. "Wilkinson microwave anisotropy probe (WMAP) three year results: Implications for cosmology", Wilkinson microwave anisotropy probe (WMAP) three year results: Implications for cosmology.
63. A.A. Starobinsky, "A new type of isotropic cosmological models without singularity", Phys. Lett. 91B, 99 (1980).
64. R.C. Tolman: Relativity, Thermodynamics, and Cosmology (Clarendon Press, Oxford 1934).
65. D. Vassiliev, "Pseudoinstantons in metric affine field theory", Gen.Rel. Grav. 34, 1239 (2002).
66. C. Wetterich, "Conformai fixed point, cosmological constant, and quintessence", Phys. Rev. Lett. 90, 231302 (2003).
67. K. Zioutas, D.H.H. Hoffman, K. Dennerl, and Th Papaevangelou, "What is dark matter made of?", Science 306, 1485 (2004).