Gauss-Bonnet cosmologies: Crossing the phantom divide and the transition from matter dominance to dark energy

Journal of Cosmology and Astroparticle Physics

Volumn , Issue 5, 2007, Pages

  Leith, Ben M ^a   Neupane, Ishwaree P ^a,b  

^a UNIVERSITY OF CANTERBURY   (New Zealand)

^b CERN   (Switzerland)

Author keywords

Cosmological perturbation theory; Dark energy theory; Inflation; String theory and cosmology

Indexed keywords

EID: 34547579961     PISSN: 14757516     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2007/05/019     Document Type: Article

References (85)

1. Riess A G et al (Supernova Search Team Collaboration) 2004 Type Ia supernova discoveries at z>1 from the Hubble space telescope: evidence for past deceleration and constraints on dark energy evolution Astrophys. J. 607 665
2. Spergel D N et al (WMAP Collaboration) 2003 First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: determination of cosmological parameters Astrophys. J. Suppl. 148 175
3. Padmanabhan T 2003 Cosmological constant: the weight of the vacuum Phys. Rep. 380 235 [hep-th/0212290]
4. Copeland E J, Sami M and Tsujikawa S 2006 Dynamics of dark energy Int. J. Mod. Phys. D 15 1753 [hep-th/0603057]
5. Sahni V and Starobinsky A 2006 Reconstructing dark energy Preprint astro-ph/0610026
6. Wetterich C 1988 Cosmology and the fate of dilatation symmetry Nucl. Phys. B 302 668
7. Ferreira P G and Joyce M 1997 Structure formation with a self-tuning scalar field Phys. Rev. Lett. 79 4740 [astro-ph/9707286]
8. Zlatev I, Wang L M and Steinhardt P J 1999 Quintessence, cosmic coincidence, and the cosmological constant Phys. Rev. Lett. 82 896 [astro-ph/9807002]
9. Amendola L 2000 Coupled quintessence Phys. Rev. D 62 043511 [astro-ph/9908023]
10. Armendariz-Picon C, Damour T and Mukhanov V F 1999 k-inflation Phys. Lett. B 458 209 [hep-th/9904075]
11. Piazza F and Tsujikawa S 2004 Dilatonic ghost condensate as dark energy J. Cosmol. Astropart. Phys. JCAP07(2004)004 [hep-th/0405054]
12. Boisseau B, Esposito-Farese G, Polarski D and Starobinsky A A 2000 Reconstruction of a scalar-tensor theory of gravity in an accelerating universe Phys. Rev. Lett. 85 2236 [gr-qc/0001066]
13. Elizalde E, Nojiri S and Odintsov S D 2004 Late time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up Phys. Rev. D 70 043539 [hep-th/0405034]
14. Gannouji R, Polarski D, Ranquet A and Starobinsky A A 2006 Scalar-tensor models of normal and phantom dark energy Preprint astro-ph/0606287
15. Nojiri S, Odintsov S D and Sasaki M 2005 Gauss-Bonnet dark energy Phys. Rev. D 71 123509 [hep-th/0504052]
16. Sami M, Toporensky A, Tretjakov P V and Tsujikawa S 2005 The fate of (phantom) dark energy universe with string curvature corrections Phys. Lett. B 619 193 [hep-th/0504154]
17. Calcagni G, Tsujikawa S and Sami M 2005 Dark energy and cosmological solutions in second-order string gravity Class. Quantum Grav. 22 3977 [hep-th/0505193]
18. Neupane I P and Carter B M N 2006 Dynamical relaxation of dark energy: a solution to early inflation, late time acceleration and the cosmological constant problem Phys. Lett. B 638 94 [hep-th/0510109]
19. Neupane I P and Carter B M N 2006 Towards inflation and dark energy cosmologies from modified Gauss-Bonnet theory J. Cosmol. Astropart. Phys. JCAP06(2006)004 [hep-th/0512262]
20. Neupane I P 2006 On compatibility of string effective action with an accelerating universe Class. Quantum Grav. 23 7493 [hep-th/0602097]
21. Neupane I P 2006 Towards inflation and accelerating cosmologies in string-generated gravity models Preprint hep-th/0605265
22. Creminelli P, Luty M A, Nicolis A and Senatore L 2006 Starting the universe: stable violation of the null energy condition and non-standard cosmologies Preprint hep-th/0606090
23. Arkani-Hamed N, Cheng H C, Luty M A and Mukohyama S 2004 Ghost condensation and a consistent infrared modification of gravity J. High Energy Phys. JHEP05(2004)074 [hep-th/0312099]
24. Aref'eva I Y and Volovich I V 2006 On the null energy condition and cosmology Preprint hep-th/0612098
25. Capozziello S, Carloni S and Troisi A 2003 Quintessence without scalar fields Preprint astro-ph/0303041
26. Carroll S M, Duvvuri V, Trodden M and Turner M S 2004 Phys. Rev. D 70 043528 [astro-ph/0306438]
27. Nojiri S and Odintsov S D 2004 Modified gravity with lnR terms and cosmic acceleration Gen. Rel. Grav. 36 1765 [hep-th/0308176]
28. Antoniadis I, Rizos J and Tamvakis K 1994 Singularity-free cosmological solutions of the superstring effective action Nucl. Phys. B 415 497 [hep-th/9305025]
29. Gross D J and Sloan J H 1987 The quartic effective action for the heterotic string Nucl. Phys. B 291 41
30. Antoniadis I, Gava E and Narain K S 1992 Moduli corrections to gauge and gravitational couplings in four-dimensional superstrings Nucl. Phys. B 383 93 [hep-th/9204030]
31. Easther R and Maeda K i 1996 One-loop superstring cosmology and the non-singular universe Phys. Rev. D 54 7252 [hep-th/9605173]
32. Kanti P, Rizos J and Tamvakis K 1999 Singularity-free cosmological solutions in quadratic gravity Phys. Rev. D 59 083512 [gr-qc/9806085]
33. Kawai S, Sakagami M a and Soda J 1998 Instability of 1-loop superstring cosmology Phys. Lett. B 437 284 [gr-qc/9802033]
34. Tsujikawa S, Brandenberger R and Finelli F 2002 On the construction of nonsingular pre-big-bang and ekpyrotic cosmologies and the resulting density perturbations Phys. Rev. D 66 083513 [hep-th/0207228]
35. Steinhardt P J and Turok N 2002 A cyclic model of the Universe Science 296 1436
36. Tsujikawa S and Sami M 2007 String-inspired cosmology: late time transition from scaling matter era to dark energy universe caused by a Gauss-Bonnet coupling J. Cosmol. Astropart. Phys. JCAP01(2007)006 [hep-th/0608178]
37. Koivisto T and Mota D F 2007 Cosmology and astrophysical constraints of Gauss-Bonnet dark energy Phys. Lett. B 644 104 [astro-ph/0606078]
38. Koivisto T and Mota D F 2007 Gauss-Bonnet quintessence: background evolution, large scale structure and cosmological constraints Phys. Rev. D 75 023518 [hep-th/0609155]
39. Coc A, Olive K A, Uzan J P and Vangioni E 2006 Big bang nucleosynthesis constraints on scalar-tensor theories of gravity Phys. Rev. D 73 083525 [astro-ph/0601299]
40. Damour T, Piazza F and Veneziano G 2002 Violations of the equivalence principle in a dilaton-runaway scenario Phys. Rev. D 66 046007 [hep-th/0205111]
41. Damour T, Gibbons G W and Gundlach C 1990 Dark matter, time varying G, and a dilaton field Phys. Rev. Lett. 64 123
42. Martin J, Schimd C and Uzan J P 2006 Testing for w<-1 in the solar system Phys. Rev. Lett. 96 061303 [astro-ph/0510208]
43. Khoury J and Weltman A 2004 Chameleon fields: awaiting surprises for tests of gravity in space Phys. Rev. Lett. 93 171104 [astro-ph/0309300]
44. Mota D F and Shaw D J 2007 Evading equivalence principle violations, astrophysical and cosmological constraints in scalar field theories with a strong coupling to matter Phys. Rev. D 75 063501 [hep-ph/0608078]
45. Amendola L, Charmousis C and Davis S C 2006 Constraints on Gauss-Bonnet gravity in dark energy cosmologies J. Cosmol. Astropart. Phys. JCAP12(2006)020 [hep-th/0506137]
46. Calcagni G, de Carlos B and De Felice A 2006 Ghost conditions for Gauss-Bonnet cosmologies Nucl. Phys. B 752 404 [hep-th/0604201]
47. Hwang J C and Noh H 1996 Cosmological perturbations in generalized gravity theories Phys. Rev. D 54 1460
48. Cartier C, Hwang J C and Copeland E J 2001 Evolution of cosmological perturbations in non-singular string cosmologies Phys. Rev. D 64 103504 [astro-ph/0106197]
49. Hwang J C and Noh H 2005 Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: unified analyses Phys. Rev. D 71 063536 [gr-qc/0412126]
50. Neupane I P 2004 Accelerating cosmologies from exponential potentials Class. Quantum Grav. 21 4383 [hep-th/0311071]
51. Neupane I P 2004 Cosmic acceleration and M theory cosmology Mod. Phys. Lett. A 19 1093 [hep-th/0402021]
52. Neupane I P and Wiltshire D L 2005 Cosmic acceleration from M theory on twisted spaces Phys. Rev. D 72 083509 [hep-th/0504135]
53. Neupane I P 2006 Preprint hep-th/0609086
54. Nojiri S, Odintsov S D and Sami M 2006 Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction Preprint hep-th/0605039
55. Cognola G, Elizalde E, Nojiri S, Odintsov S and Zerbini S 2006 String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy Preprint hep-th/0611198
56. Guo Z K, Ohta N and Tsujikawa S 2007 Realizing scale-invariant density perturbations in low-energy effective string theory Phys. Rev. D 75 023520 [hep-th/0610336]
57. Stewart E D and Lyth D H 1993 A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation Phys. Lett. B 302 171 [gr-qc/9302019]
58. Copeland E J, Kolb E W, Liddle A R and Lidsey J E 1994 Reconstructing the inflaton potential: perturbative reconstruction to second order Phys. Rev. D 49 1840 [astro-ph/9308044]
59. Peiris H and Easther R 2006 Recovering the inflationary potential and primordial power spectrum with a slow roll prior: methodology and application to WMAP 3 year data J. Cosmol. Astropart. Phys. JCAP07(2006)002 [astro-ph/0603587]
60. Kanno S and Soda J 2006 Lorentz violating inflation Phys. Rev. D 74 063505 [hep-th/0604192]
61. Esposito-Farese G and Polarski D 2001 Scalar-tensor gravity in an accelerating universe Phys. Rev. D 63 063504 [gr-qc/0009034]
62. Esposito-Farese G 2004 Tests of scalar-tensor gravity AIP Conf. Proc. 736 35 [gr-qc/0409081]
63. Sotiriou T P and Barausse E 2006 Post-Newtonian expansion for Gauss-Bonnet gravity Preprint gr-qc/0612065
64. Felder G N, Kofman L and Linde A D 1999 Instant preheating Phys. Rev. D 59 123523 [hep-ph/9812289]
65. De Felice A, Hindmarsh M and Trodden M 2006 Ghosts, instabilities, and superluminal propagation in modified gravity models J. Cosmol. Astropart. Phys. JCAP08(2006)005 [astro-ph/0604154]
66. Wang Y and Tegmark M 2004 New dark energy constraints from supernovae, microwave background and galaxy clustering Phys. Rev. Lett. 92 241302 [astro-ph/0403292]
67. Riess A G et al 2006 New Hubble space telescope discoveries of type Ia supernovae at z>1: narrowing constraints on the early behavior of dark energy Preprint astro-ph/0611572
68. Λ and w from the first year data set Astron. Astrophys. 447 31 [astro-ph/0510447]
69. Alam U, Sahni V and Starobinsky A A 2006 Exploring the properties of dark energy using type Ia supernovae and other datasets Preprint astro-ph/0612381
70. Carroll S M, Hoffman M and Trodden M 2003 Can the dark energy equation of state parameter w be less than -1 ? Phys. Rev. D 68 023509 [astro-ph/0301273]
71. Singh P, Sami M and Dadhich N 2003 Cosmological dynamics of phantom field Phys. Rev. D 68 023522 [hep-th/0305110]
72. Alam U, Sahni V and Starobinsky A A 2004 The case for dynamical dark energy revisited J. Cosmol. Astropart. Phys. JCAP06(2004)008 [astro-ph/0403687]
73. Hu W 2005 Crossing the phantom divide: dark energy internal degrees of freedom Phys. Rev. D 71 047301 [astro-ph/0410680]
74. Nojiri S, Odintsov S D and Tsujikawa S 2005 Properties of singularities in (phantom) dark energy universe Phys. Rev. D 71 063004 [hep-th/0501025]
75. Jassal H K, Bagla J S and Padmanabhan T 2005 Observational constraints on low redshift evolution of dark energy: how consistent are different observations? Phys. Rev. D 72 103503 [astro-ph/0506748]
76. Perivolaropoulos L 2005 Crossing the phantom divide barrier with scalar-tensor theories J. Cosmol. Astropart. Phys. JCAP10(2005)001 [astro-ph/0504582]
77. Li M z, Feng B and Zhang X m 2005 A single scalar field model of dark energy with equation of state crossing -1 J. Cosmol. Astropart. Phys. JCAP12(2005)002 [hep-ph/0503268]
78. Aref'eva I Y, Koshelev A S and Vernov S Y 2005 Crossing of the w ≤ -1 barrier by D3-brane dark energy model Phys. Rev. D 72 064017 [astro-ph/0507067]
79. Apostolopoulos P S and Tetradis N 2006 Late acceleration and w ≤ -1 crossing in induced gravity Phys. Rev. D 74 064021 [hep-th/0604014]
80. Huang Z G, Lu H Q and Fang W 2006 Dilaton coupled quintessence model in the omega-omega' plane Preprint hep-th/0610018
81. Wei H and Cai R G 2006 A note on crossing the phantom divide in hybrid dark energy model Phys. Lett. B 634 9 [astro-ph/0512018]
82. Wei H and Cai R G 2006 Interacting vector-like dark energy, the first and second cosmological coincidence problems Phys. Rev. D 73 083002 [astro-ph/0603052]
83. Huang Z G, Lu H Q and Fang W 2006 Coupled quintessence and phantom based on dilaton Class. Quantum Grav. 23 6215 [hep-th/0604160]
84. Bonvin C, Caprini C and Durrer R 2006 A no-go theorem for k-essence dark energy Phys. Rev. Lett. 97 081303 [astro-ph/0606584]
85. Starobinsky A A 1980 Phys. Lett. B 91 99