Chaotic inflation in modified gravitational theories

Journal of Cosmology and Astroparticle Physics

Volumn 2011, Issue 8, 2011, Pages

  De Felice, Antonio ^a   Tsujikawa, Shinji ^a   Elliston, Joseph ^b   Tavakol, Reza ^b  

^a TOKYO UNIVERSITY OF SCIENCE   (Japan)

^b QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

cosmological perturbation theory; inflation

Indexed keywords

EID: 80052526017     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2011/08/021     Document Type: Review

References (118)

1. A.A. Starobinsky, 1980 A new type of isotropic cosmological models without singularity, Phys. Lett. B 91 99
2. D. Kazanas, 1980 Dynamics of the Universe and Spontaneous Symmetry Breaking Astrophys. J. 241 L59
3. K. Sato, 1981 First Order Phase Transition of a Vacuum and Expansion of the Universe Mon. Not. Roy. Astron. Soc. 195 467
4. A.H. Guth, 1981 The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems, Phys. Rev. D 23 347
5. V.F. Mukhanov and G.V. Chibisov, 1981 Quantum Fluctuation and 'Nonsingular' Universe (in Russian) JETP Lett. 33 532
6. A.H. Guth and S.Y. Pi, 1982 Fluctuations in the New Inflationary Universe, Phys. Rev. Lett. 49 1110
7. S.W. Hawking, 1982 The Development of Irregularities in a Single Bubble Inflationary Universe, Phys. Lett. B 115 295
8. A.A. Starobinsky, 1982 Dynamics of Phase Transition in the New Inflationary Universe Scenario and Generation of Perturbations, Phys. Lett. B 117 175
9. G.F. Smoot et al., 1992 Structure in the COBE differential microwave radiometer first year maps Astrophys. J. 396 L1
10. WMAP collaboration, D.N. Spergel et al., 2003 First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters, Astrophys. J. Suppl. 148 175 [astro-ph/0302209]
11. WMAP collaboration, E. Komatsu et al., 2011 Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation, Astrophys. J. Suppl. 192 18 [1001.4538]
12. SDSS collaboration, M. Tegmark et al., 2004 Cosmological parameters from SDSS and WMAP, Phys. Rev. D 69 103501 [astro-ph/0310723]
13. B.A. Reid et al., 2010 Cosmological Constraints from the Clustering of the Sloan Digital Sky Survey DR7 Luminous Red Galaxies, Mon. Not. Roy. Astron. Soc. 404 60 [0907.1659]
14. J.E. Lidsey et al., 1997 Reconstructing the inflaton potential: An overview, Rev. Mod. Phys. 69 373 [astro-ph/9508078]
15. D.H. Lyth and A. Riotto, 1999 Particle physics models of inflation and the cosmological density perturbation, Phys. Rept. 314 1 [hep-ph/9807278]
16. A.D. Linde, Particle Physics and Inflationary Cosmology, [hep-th/0503203]
17. B.A. Bassett, S. Tsujikawa and D. Wands, 2006 Inflation dynamics and reheating, Rev. Mod. Phys. 78 537 [astro-ph/0507632]
18. A.D. Linde, 1983 Chaotic Inflation, Phys. Lett. B 129 177
19. T.P. Sotiriou and V. Faraoni, 2010 f(R) Theories Of Gravity, Rev. Mod. Phys. 82 451 [0805.1726]
20. A. De Felice and S. Tsujikawa, 2010 f(R) theories Living Rev. Rel. 13 3 [1002.4928]
21. A.B. Goncharov and A.D. Linde, 1984 Chaotic inflation in supergravity, Phys. Lett. B 139 27
22. M. Kawasaki, M. Yamaguchi and T. Yanagida, 2000 Natural chaotic inflation in supergravity, Phys. Rev. Lett. 85 3572 [hep-ph/0004243]
23. P. Brax and J. Martin, 2005 Shift symmetry and inflation in supergravity, Phys. Rev. D 72 023518 [hep-th/0504168]
24. M.B. Einhorn and D.R.T. Jones, 2010 Inflation with Non-minimal Gravitational Couplings in Supergravity J. High Energy Phys. JHEP03(2010)026 [0912.2718]
25. S. Ferrara, R. Kallosh, A. Linde, A. Marrani and A. Van Proeyen, 2010 Jordan Frame Supergravity and Inflation in NMSSM, Phys. Rev. D 82 045003 [1004.0712]
26. H.M. Lee, 2010 Chaotic inflation in Jordan frame supergravity J. Cosmol. Astropart. Phys. JCAP08(2010)003 [1005.2735]
27. R. Kallosh and A. Linde, 2010 New models of chaotic inflation in supergravity J. Cosmol. Astropart. Phys. JCAP11(2010)011 [1008.3375]
28. R. Kallosh, A. Linde and T. Rube, 2011 General inflaton potentials in supergravity, Phys. Rev. D 83 043507 [1011.5945]
29. E. Silverstein and A. Westphal, 2008 Monodromy in the CMB: Gravity Waves and String Inflation, Phys. Rev. D 78 106003 [0803.3085]
30. L. McAllister, E. Silverstein and A. Westphal, 2010 Gravity Waves and Linear Inflation from Axion Monodromy, Phys. Rev. D 82 046003 [0808.0706]
31. R. Flauger, L. McAllister, E. Pajer, A. Westphal and G. Xu, 2010 Oscillations in the CMB from Axion Monodromy Inflation J. Cosmol. Astropart. Phys. JCAP06(2010)009 [0907.2916]
32. M. Berg, E. Pajer and S. Sjors, 2010 Dante's Inferno, Phys. Rev. D 81 103535 [0912.1341]
33. X. Dong, B. Horn, E. Silverstein and A. Westphal, 2011 Simple exercises to flatten your potential Phys. Rev. D 84 026011 [1011.4521]
34. T. Futamase and K.-i. Maeda, 1989 Chaotic inflationary scenario in models having nonminimal coupling with curvature, Phys. Rev. D 39 399
35. R. Fakir and W.G. Unruh, 1990 Improvement on cosmological chaotic inflation through nonminimal coupling, Phys. Rev. D 41 1783
36. F.L. Bezrukov and M. Shaposhnikov, 2008 The Standard Model Higgs boson as the inflaton, Phys. Lett. B 659 703 [0710.3755]
37. I. Antoniadis, J. Rizos and K. Tamvakis, 1994 Singularity - free cosmological solutions of the superstring effective action, Nucl. Phys. B 415 497 [hep-th/9305025]
38. R. Easther and K.-i. Maeda, 1996 One-Loop Superstring Cosmology and the Non-Singular Universe, Phys. Rev. D 54 7252 [hep-th/9605173]
39. S. Kawai and J. Soda, 1999 Non-singular Bianchi type-I cosmological solutions from 1-loop superstring effective action, Phys. Rev. D 59 063506 [gr-qc/9807060]
40. C. Armendariz-Picon, T. Damour and V.F. Mukhanov, 1999 k-Inflation, Phys. Lett. B 458 209 [hep-th/9904075]
41. K.-i. Maeda and N. Ohta, 2004 Inflation from M-theory with fourth-order corrections and large extra dimensions, Phys. Lett. B 597 400 [hep-th/0405205]
42. K.-i. Maeda and N. Ohta, 2005 Inflation from superstring/M theory compactification with higher order corrections. I, Phys. Rev. D 71 063520 [hep-th/0411093]
43. Z.-K. Guo, N. Ohta and S. Tsujikawa, 2007 Realizing scale-invariant density perturbations in low- energy effective string theory, Phys. Rev. D 75 023520 [hep-th/0610336]
44. M. Satoh and J. Soda, 2008 Higher Curvature Corrections to Primordial Fluctuations in Slow-roll Inflation J. Cosmol. Astropart. Phys. JCAP09(2008)019 [0806.4594]
45. M. Satoh, 2010 Slow-roll Inflation with the Gauss-Bonnet and Chern-Simons Corrections J. Cosmol. Astropart. Phys. JCAP11(2010)024 [1008.2724]
46. A. Nicolis, R. Rattazzi and E. Trincherini, 2009 The galileon as a local modification of gravity, Phys. Rev. D 79 064036 [0811.2197]
47. P. Creminelli, A. Nicolis and E. Trincherini, 2010 Galilean Genesis: an alternative to inflation J. Cosmol. Astropart. Phys. JCAP11(2010)021 [1007.0027]
48. C. Burrage, C. de Rham, D. Seery and A.J. Tolley, 2011 Galileon inflation J. Cosmol. Astropart. Phys. JCAP01(2011)014 [1009.2497]
49. P. Creminelli, G. D'Amico, M. Musso, J. Norena and E. Trincherini, 2011 Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity J. Cosmol. Astropart. Phys. JCAP02(2011)006 [1011.3004]
50. A. Naruko and M. Sasaki, 2011 Conservation of the nonlinear curvature perturbation in generic single-field inflation, Class. Quant. Grav. 28 072001 [1101.3180]
51. C. Burrage, C. de Rham and L. Heisenberg, 2011 de Sitter Galileon J. Cosmol. Astropart. Phys. JCAP05(2011)025 [1104.0155]
52. T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2010 G-inflation: inflation driven by the Galileon field, Phys. Rev. Lett. 105 231302 [1008.0603]
53. G.R. Dvali, G. Gabadadze and M. Porrati, 2000 4D gravity on a brane in 5D Minkowski space, Phys. Lett. B 485 208 [hep-th/0005016]
54. A. Nicolis and R. Rattazzi, 2004 Classical and quantum consistency of the DGP model J. High Energy Phys. JHEP06(2004)059 [hep-th/0404159]
55. C. Deffayet, O. Pujols, I. Sawicki and A. Vikman, 2010 Imperfect Dark Energy from Kinetic Gravity Braiding J. Cosmol. Astropart. Phys. JCAP10(2010)026 [1008.0048]
56. O. Pujols, I. Sawicki and A. Vikman, The Imperfect Fluid behind Kinetic Gravity Braiding, [1103.5360]
57. F.P. Silva and K. Koyama, 2009 Self-Accelerating Universe in Galileon Cosmology, Phys. Rev. D 80 121301 [0909.4538]
58. T. Kobayashi, H. Tashiro and D. Suzuki, 2010 Evolution of linear cosmological perturbations and its observational implications in Galileon-type modified gravity, Phys. Rev. D 81 063513 [0912.4641]
59. T. Kobayashi, 2010 Cosmic expansion and growth histories in Galileon scalar- tensor models of dark energy, Phys. Rev. D 81 103533 [1003.3281]
60. A. De Felice and S. Tsujikawa, 2010 Generalized Brans-Dicke theories J. Cosmol. Astropart. Phys. JCAP07(2010)024 [1005.0868]
61. A. De Felice, S. Mukohyama and S. Tsujikawa, 2010 Density perturbations in general modified gravitational theories, Phys. Rev. D 82 023524 [1006.0281]
62. ′ (Two Loop) Equivalence of the String Equations of Motion and the σ-model Weyl Invariance Conditions: Dependence on the Dilaton and the Antisymmetric Tensor, Nucl. Phys. B 293 385
63. C. Cartier, J.-c. Hwang and E.J. Copeland, 2001 Evolution of cosmological perturbations in non-singular string cosmologies, Phys. Rev. D 64 103504 [astro-ph/0106197]
64. N. Makino and M. Sasaki, 1991 The Density perturbation in the chaotic inflation with nonminimal coupling, Prog. Theor. Phys. 86 103
65. R. Fakir, S. Habib and W. Unruh, 1992 Cosmological density perturbations with modified gravity Astrophys. J. 394 396
66. D.I. Kaiser, 1995 Primordial spectral indices from generalized Einstein theories, Phys. Rev. D 52 4295 [astro-ph/9408044]
67. J.-c. Hwang, 1997 Quantum fluctuations of cosmological perturbations in generalized gravity, Class. Quant. Grav. 14 3327 [gr-qc/9607059]
68. E. Komatsu and T. Futamase, 1998 Constraints on the chaotic inflationary scenario with a nonminimally coupled *inflaton* field from the cosmic microwave background radiation anisotropy, Phys. Rev. D 58 023004 [astro-ph/9711340]
69. E. Komatsu and T. Futamase, 1999 Complete constraints on a nonminimally coupled chaotic inflationary scenario from the cosmic microwave background, Phys. Rev. D 59 064029 [astro-ph/9901127]
70. S. Tsujikawa and B. Gumjudpai, 2004 Density perturbations in generalized Einstein scenarios and constraints on nonminimal couplings from the Cosmic Microwave Background, Phys. Rev. D 69 123523 [astro-ph/0402185]
71. A. Linde, M. Noorbala and A. Westphal, 2011 Observational consequences of chaotic inflation with nonminimal coupling to gravity J. Cosmol. Astropart. Phys. JCAP03(2011)013 [1101.2652]
72. A.O. Barvinsky, A.Y. Kamenshchik and A.A. Starobinsky, 2008 Inflation scenario via the Standard Model Higgs boson and LHC J. Cosmol. Astropart. Phys. JCAP11(2008)021 [0809.2104]
73. F.L. Bezrukov, A. Magnin and M. Shaposhnikov, 2009 Standard Model Higgs boson mass from inflation, Phys. Lett. B 675 88 [0812.4950]
74. F. Bezrukov and M. Shaposhnikov, 2009 Standard Model Higgs boson mass from inflation: two loop analysis J. High Energy Phys. JHEP07(2009)089 [0904.1537]
75. A. De Simone, M.P. Hertzberg and F. Wilczek, 2009 Running Inflation in the Standard Model, Phys. Lett. B 678 1 [0812.4946]
76. A.O. Barvinsky, A.Y. Kamenshchik, C. Kiefer, A.A. Starobinsky and C. Steinwachs, 2009 Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field J. Cosmol. Astropart. Phys. JCAP12(2009)003 [0904.1698]
77. D.I. Kaiser and A.T. Todhunter, 2010 Primordial Perturbations from Multifield Inflation with Nonminimal Couplings, Phys. Rev. D 81 124037 [1004.3805]
78. K. Kamada, T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2011 Higgs G-inflation, Phys. Rev. D 83 083515 [1012.4238]
79. C. Deffayet, G. Esposito-Farese and A. Vikman, 2009 Covariant Galileon, Phys. Rev. D 79 084003 [0901.1314]
80. C. Deffayet, S. Deser and G. Esposito-Farese, 2009 Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress-tensors, Phys. Rev. D 80 064015 [0906.1967]
81. A. De Felice and S. Tsujikawa, 2010 Cosmology of a covariant Galileon field, Phys. Rev. Lett. 105 111301 [1007.2700]
82. A. De Felice and S. Tsujikawa, 2010 Generalized Galileon cosmology, [1008.4236]
83. S. Nesseris, A. De Felice and S. Tsujikawa, 2010 Observational constraints on Galileon cosmology, Phys. Rev. D 82 124054 [1010.0407]
84. C. Cheung, P. Creminelli, A.L. Fitzpatrick, J. Kaplan and L. Senatore, 2008 The Effective Field Theory of Inflation J. High Energy Phys. JHEP03(2008)014 [0709.0293]
85. S. Weinberg, 2008 Effective Field Theory for Inflation, Phys. Rev. D 77 123541 [0804.4291]
86. R.L. Arnowitt, S. Deser and C.W. Misner, 1960 Canonical variables for general relativity, Phys. Rev. 117 1595
87. J.M. Maldacena, 2003 Non-Gaussian features of primordial fluctuations in single field inflationary models J. High Energy Phys. JHEP05(2003)013 [astro-ph/0210603]
88. A. De Felice and S. Tsujikawa, 2011 Primordial non-Gaussianities in general modified gravitational models of inflation J. Cosmol. Astropart. Phys. JCAP04(2011)029 [1103.1172]
89. S. Mizuno and K. Koyama, 2010 Primordial non-Gaussianity from the DBI Galileons, Phys. Rev. D 82 103518 [1009.0677]
90. T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2011 Primordial non-Gaussianity from G-inflation, Phys. Rev. D 83 103524 [1103.1740]
91. K.-i. Maeda, 1989 Towards the Einstein-Hilbert Action via Conformal Transformation, Phys. Rev. D 39 3159
92. A.R. Liddle and S.M. Leach, 2003 How long before the end of inflation were observable perturbations produced?, Phys. Rev. D 68 103503 [astro-ph/0305263]
93. R. Catena, M. Pietroni and L. Scarabello, 2007 Einstein and Jordan frames reconciled: a frame-invariant approach to scalar-tensor cosmology, Phys. Rev. D 76 084039 [astro-ph/0604492]
94. N. Deruelle and M. Sasaki, Conformal equivalence in classical gravity: the example of 'veiled' General Relativity, [1007.3563]
95. W.J. Percival et al., 2010 Baryon acoustic oscillations in the Sloan Digital Sky Survey Data Release 7 galaxy sample, Mon. Not. Roy. Astron. Soc. 401 2148 [0907.1660]
96. A.G. Riess et al., 2009 A Redetermination of the Hubble Constant with the Hubble Space Telescope from a Differential Distance Ladder, Astrophys. J. 699 539 [0905.0695]
97. R. Corless et al., 1996 On the Lambert W Function Adv. Comput. Math. 5 329
98. C. Brans and R.H. Dicke, 1961 Mach's principle and a relativistic theory of gravitation, Phys. Rev. 124 925
99. J. Ohashi and S. Tsujikawa, 2011 Observational constraints on assisted k-inflation, Phys. Rev. D 83 103522 [1104.1565]
100. J. O' Hanlon, 1972 Intermediate-range gravity - a generally covariant model, Phys. Rev. Lett. 29 137
101. T. Chiba, 2003 1/R gravity and scalar-tensor gravity, Phys. Lett. B 575 1 [astro-ph/0307338]
102. A.A. Starobinsky, 1983 The Perturbation Spectrum Evolving from a Nonsingular Initially De-Sitte r Cosmology and the Microwave Background Anisotropy Sov. Astron. Lett. 9 302
103. L.A. Kofman, V.F. Mukhanov and D.Y. Pogosian, 1987 Evolution of inhomogeneities in inflationary models in a theory of gravitation with higher derivatives Sov. Phys. JETP 66 433
104. J.-c. Hwang and H. Noh, 2001 f(R) gravity theory and CMBR constraints, Phys. Lett. B 506 13 [astro-ph/0102423]
105. N. Tamanini and C.R. Contaldi, 2011 Inflationary Perturbations in Palatini Generalised Gravity, Phys. Rev. D 83 044018 [1010.0689]
106. E.D. Stewart and D.H. Lyth, 1993 A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation, Phys. Lett. B 302 171 [gr-qc/9302019]
107. Planck collaboration, Planck: The scientific programme, [astro-ph/0604069]
108. http://cosmologist.info/cosmomc
109. Supernova Cosmology Project collaboration, M. Kowalski et al., 2008 Improved Cosmological Constraints from New, Old and Combined Supernova Datasets, Astrophys. J. 686 749 [0804.4142]
110. S. Burles and D. Tytler, 1998 The Deuterium Abundance Towards Q1937-1009, Astrophys. J. 499 699 [astro-ph/9712108]
111. A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, 2006 Causality, analyticity and an IR obstruction to UV completion J. High Energy Phys. JHEP10(2006)014 [hep-th/0602178]
112. C. Bonvin, C. Caprini and R. Durrer, 2006 A no-go theorem for k-essence dark energy, Phys. Rev. Lett. 97 081303 [astro-ph/0606584]
113. G. Ellis, R. Maartens and M.A.H. MacCallum, 2007 Causality and the speed of sound, Gen. Rel. Grav. 39 1651 [gr-qc/0703121]
114. A. Hashimoto and N. Itzhaki, 2001 Traveling faster than the speed of light in non-commutative geometry, Phys. Rev. D 63 126004 [hep-th/0012093]
115. J.-P. Bruneton, 2007 On causality and superluminal behavior in classical field theories. Applications to k-essence theories and MOND-like theories of gravity, Phys. Rev. D 75 085013 [gr-qc/0607055]
116. E. Babichev, V. Mukhanov and A. Vikman, 2008 k-Essence, superluminal propagation, causality and emergent geometry J. High Energy Phys. JHEP02(2008)101 [0708.0561]
117. R. Geroch, Faster Than Light?, [1005.1614]
118. R. Gannouji and M. Sami, 2010 Galileon gravity and its relevance to late time cosmic acceleration, Phys. Rev. D 82 024011 [1004.2808]