The conformal transformation in general single field inflation with non-minimal coupling

Journal of Cosmology and Astroparticle Physics

Volumn 2012, Issue 2, 2012, Pages

  Kubota, Takahiro ^a   Misumi, Nobuhiko ^a   Naylor, Wade ^a   Okuda, Naoya ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

CMBR theory; cosmological perturbation theory; inflation; non gaussianity

Indexed keywords

EID: 84857868445     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2012/02/034     Document Type: Article

References (56)

1. E. Komatsu and D.N. Spergel, 2001 Acoustic signatures in the primary microwave background bispectrum, Phys. Rev. D 63 063002 [astro-ph/0005036]
2. N. Bartolo, E. Komatsu, S. Matarrese and A. Riotto, 2004 Non-gaussianity from inflation: theory and observation, Phys. Rept. 402 103 [astro-ph/0406398]
3. WMAP collaboration, E. Komatsu et al., 2011 Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation, Astrophys. J. Suppl. 192 18 [1001.4538]
4. E. Komatsu, 2010 Hunting for primordial non-gaussianity in the cosmic microwave background, Class. Quant. Grav. 27 124010 [1003.6097]
5. D. Babich, P. Creminelli and M. Zaldarriaga, 2004 The shape of non-gaussianities J. Cosmol. Astropart. Phys. JCAP08(2004)009 [astro-ph/0405356]
6. D. Baumann, TASI lectures on inflation, [0907.5424]
7. 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]
8. V. Acquaviva, N. Bartolo, S. Matarrese and A. Riotto, 2003 Second order cosmological perturbations from inflation, Nucl. Phys. B 667 119 [astro-ph/0209156]
9. V.F. Mukhanov, H.A. Feldman and R.H. Brandenberger, 1992 Theory of cosmological perturbations, Phys. Rept. 215 203
10. N. Makino and M. Sasaki, 1991 The density perturbation in the chaotic inflation with nonminimal coupling, Prog. Theor. Phys. 86 103
11. N. Sugiyama and T. Futamase, 2010 Non-gaussianity generated in the inflationary scenario with nonminimally coupled inflaton field, Phys. Rev. D 81 023504
12. T. Chiba and M. Yamaguchi, 2008 Extended slow-roll conditions and rapid-roll conditions J. Cosmol. Astropart. Phys. JCAP10(2008)021 [0807.4965]
13. J.-O. Gong, J.-C. Hwang, W.-I. Park, M. Sasaki and Y.-S. Song, 2011 Conformal invariance of curvature perturbation J. Cosmol. Astropart. Phys. JCAP09(2011)023 [1107.1840]
14. D. Salopek, J. Bond and J.M. Bardeen, 1989 Designing density fluctuation spectra in inflation, Phys. Rev. D 40 1753
15. K. Maeda, 1989 Towards the Einstein-Hilbert action via conformal transformation, Phys. Rev. D 39 3159
16. J. Hwang, 1990 Cosmological perturbations in generalized gravity theories: Formulation, Class. Quant. Grav. 7 1613
17. J. Hwang, 1997 Cosmological perturbations in generalized gravity theories: Conformal transformation, Class. Quant. Grav. 14 1981 [gr-qc/9605024]
18. S. Koh, 2006 Non-Gaussianity in nonminimally coupled scalar field theory J. Korean Phys. Soc. 49 S787 [astro-ph/0510030]
19. N. Deruelle and M. Sasaki, Conformal equivalence in classical gravity: the example of 'veiled' general relativity, [1007.3563]
20. D. Seery and J.E. Lidsey, 2005 Primordial non-gaussianities in single field inflation J. Cosmol. Astropart. Phys. JCAP06(2005)003 [astro-ph/0503692]
21. X. Chen, M.-X. Huang, S. Kachru and G. Shiu, 2007 Observational signatures and non-gaussianities of general single field inflation J. Cosmol. Astropart. Phys. JCAP01(2007)002 [hep-th/0605045]
22. T. Qiu and K.-C. Yang, 2011 Non-gaussianities of single field inflation with non-minimal coupling, Phys. Rev. D 83 084022 [1012.1697]
23. Y. Hosotani, 1985 Stability of scalar fields in curved space, Phys. Rev. D 32 1949
24. T. Futamase and K.-i. Maeda, 1989 Chaotic inflationary scenario in models having nonminimal coupling with curvature, Phys. Rev. D 39 399
25. T. Futamase, T. Rothman and R. Matzner, 1989 Behavior of chaotic inflation in anisotropic cosmologies with nonminimal coupling, Phys. Rev. D 39 405
26. S. Koh, S.P. Kim and D.J. Song, 2005 Nonlinear evolutions and non-Gaussianity in generalized gravity, Phys. Rev. D 71 123511 [astro-ph/0501401]
27. 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]
28. 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]. 25 pages, added subsection, uses RevTeX4-1
29. A. De Felice and S. Tsujikawa, 2010 f(R) theories Living Rev. Rel. 13 3 [1002.4928]
30. S.C. Park and S. Yamaguchi, 2008 Inflation by non-minimal coupling J. Cosmol. Astropart. Phys. JCAP08(2008)009 [0801.1722]
31. 4 inflation, Phys. Rev. D 82 043502 [1005.5161]
32. X. Gao, T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2011 Primordial non-Gaussianities of gravitational waves in the most general single-field inflation model, Phys. Rev. Lett. 107 211301 [1108.3513]
33. T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2011 Primordial non-gaussianity from G-inflation, Phys. Rev. D 83 103524 [1103.1740]
34. T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2011 Generalized G-inflation: Inflation with the most general second-order field equations, Prog. Theor. Phys. 126 511 [1105.5723]
35. K. Kamada, T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2011 Higgs G-inflation, Phys. Rev. D 83 083515 [1012.4238]
36. C. Armendáriz-Picón, T. Damour and V.F. Mukhanov, 1999 k-inflation, Phys. Lett. B 458 209 [hep-th/9904075]
37. J. Garriga and V.F. Mukhanov, 1999 Perturbations in k-inflation, Phys. Lett. B 458 219 [hep-th/9904176]
38. Y. Fujii and K. Maeda, 2003 The scalar-tensor theory of gravitation, Cambridge University Press, Cambridge U.K.
39. R.M. Wald, 1984 General relativity, Chicago University Press, Chicago U.S.A.
40. H. Kodama and M. Sasaki, 1984 Cosmological perturbation theory, Prog. Theor. Phys. Suppl. 78 1
41. V.F. Mukhanov, 2005 Physical foundations of cosmology, Cambridge University Press, Cambridge U.K.
42. S. Weinberg, 2008 Cosmology, Oxford University Press, Oxford U.K.
43. A.R. Liddle and D.H. Lyth, 2009 The primordial density perturbation, Cambridge University Press, Cambridge U.K.
44. V. Rubakov, 2011 Introduction to the theory of the early universe, World Scientific, Singapore
45. R. Arnowitt and S. Deser, 1959 Quantum theory of gravitation: general formulation and linearized theory, Phys. Rev. 113 745
46. R.L. Arnowitt, S. Deser and C.W. Misner, 1959 Dynamical structure and definition of energy in general relativity, Phys. Rev. 116 1322
47. R.L. Arnowitt, S. Deser and C.W. Misner, 1960 Canonical variables for general relativity, Phys. Rev. 117 1595
48. Gravitational electromagnetic coupling and the classical self-energy problem Phys. Rev. 120 1960 313
49. J.M. Bardeen, 1980 Gauge invariant cosmological perturbations, Phys. Rev. D 22 1882
50. F. Arroja and K. Koyama, 2008 Non-gaussianity from the trispectrum in general single field inflation, Phys. Rev. D 77 083517 [0802.1167]
51. H. Noh and J.-c. Hwang, 2004 Second-order perturbations of the Friedmann world model, Phys. Rev. D 69 104011 [astro-ph/0305123]
52. S. Renaux-Petel, On the redundancy of operators and the bispectrum in the most general second-order scalar-tensor theory, [1107.5020]
53. S. Weinberg, 2005 Quantum contributions to cosmological correlations, Phys. Rev. D 72 043514 [hep-th/0506236]
54. S. Weinberg, 2006 Quantum contributions to cosmological correlations. II. Can these corrections become large?, Phys. Rev. D 74 023508 [hep-th/0605244]
55. Y.-S. Piao, Conformally dual to inflation, [1112.3737]
56. S. Kundu, 2012 Inflation with general initial conditions for scalar perturbations J. Cosmol. Astropart. Phys. JCAP02(2012)005 [1110.4688]