General information
Latest issue
Impact factor

Search papers
Search references

Latest issue
Current issues
Archive issues
What is RSS

Pis'ma v Zh. Èksper. Teoret. Fiz.:

Personal entry:
Save password
Forgotten password?

Pis'ma v Zh. Èksper. Teoret. Fiz., 2005, Volume 82, Issue 4, Pages 187–191 (Mi jetpl1530)  

This article is cited in 58 scientific papers (total in 58 papers)


Inflaton field potential producing the exactly flat spectrum of adiabatic perturbations

A. A. Starobinsky

Landau Institute for Theoretical Physics RAS

Abstract: Presented is the exact solution of the problem of finding a potential of an inflaton scalar field for which adiabatic perturbations generated during a de Sitter (inflationary) stage in the early Universe have the exactly flat (or, the Harrison-Zeldovich) initial spectrum. This solution lies outside the scope of the slow-roll approximation and higher-order corrections to it. The potential found depends on two arbitrary physical constants, one of those determines an amplitude of perturbations. For small (zero) values of the other constant, a long (infinite) inflationary stage with slow rolling of the inflaton field exists.

Full text: PDF file (158 kB)
References: PDF file   HTML file

English version:
Journal of Experimental and Theoretical Physics Letters, 2005, 82:4, 169–173

Bibliographic databases:

Document Type: Article
PACS: 98.80.-k
Received: 07.07.2005
Language: English

Citation: A. A. Starobinsky, “Inflaton field potential producing the exactly flat spectrum of adiabatic perturbations”, Pis'ma v Zh. Èksper. Teoret. Fiz., 82:4 (2005), 187–191; JETP Letters, 82:4 (2005), 169–173

Citation in format AMSBIB
\by A.~A.~Starobinsky
\paper Inflaton field potential producing the exactly flat spectrum of adiabatic perturbations
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2005
\vol 82
\issue 4
\pages 187--191
\jour JETP Letters
\yr 2005
\vol 82
\issue 4
\pages 169--173

Linking options:

    SHARE: FaceBook Twitter Livejournal

    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Sahni V., Starobinsky A., “Reconstructing dark energy”, Internat J Modern Phys D, 15:12 (2006), 2105–2132  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    2. Barrow J.D., Liddle A.R., Pahud C., “Intermediate inflation in light of the three-year WMAP observations”, Phys Rev D, 74:12 (2006), 127305  crossref  mathscinet  adsnasa  isi  scopus
    3. Peiris H.V., Easther R., “Recovering the inflationary potential and primordial power spectrum with a slow roll prior: methodology and application to WMAP three year data”, J Cosmol Astropart Phys, 2006, no. 7, 002  crossref  isi  elib  scopus
    4. Chung D.J.H., Romano A.E., “Approximate consistency condition from a running spectral index in slow-roll inflationary models”, Phys Rev D, 73:10 (2006), 103510  crossref  adsnasa  isi  elib  scopus
    5. de Oliveira H.P., Terrero-Escalante C.A., “Problems for observing the inflaton potential”, J Cosmol Astropart Phys, 2006, no. 1, 024  crossref  mathscinet  zmath  isi  elib  scopus
    6. del Campo S., Herrera R., “Curvaton field and the intermediate inflationary universe model”, Phys Rev D, 76:10 (2007), 103503  crossref  adsnasa  isi  scopus
    7. Barrow J.D., Nunes N.J., “Dynamics of “logamediate” inflation”, Phys Rev D, 76:4 (2007), 043501  crossref  mathscinet  adsnasa  isi  scopus
    8. Spalinski M., “New solutions of the inflationary flow equations”, J Cosmol Astropart Phys, 2007, no. 8, 016  crossref  mathscinet  isi  elib
    9. Tzirakis K., Kinney W.H., “Inflation over a local maximum of a potential”, Phys Rev D, 75:12 (2007), 123510  crossref  mathscinet  adsnasa  isi  elib  scopus
    10. Spalinski M., “Inflation in DBI models with constant gamma”, J Cosmol Astropart Phys, 2008, no. 4, 002  crossref  mathscinet  isi  elib  scopus
    11. Vulcanov D.N., “New results in the use of a “reverse engineering” method in cosmologies with scalar field”, Central European Journal of Physics, 6:1 (2008), 84–96  crossref  adsnasa  isi  scopus
    12. Joy M., Sahni V., Starobinsky A.A., “New universal local feature in the inflationary perturbation spectrum”, Phys Rev D, 77:2 (2008), 023514  crossref  adsnasa  isi  elib  scopus
    13. Lesgourgues J., Starobinsky A.A., Valkenburg W., “What do WMAP and SDSS really tell us about inflation?”, J Cosmol Astropart Phys, 2008, no. 1, 010  crossref  isi  elib  scopus
    14. del Campo S., Herrera R., Toloza A., “Tachyon field in intermediate inflation”, Phys Rev D, 79:8 (2009), 083507  crossref  adsnasa  isi  scopus
    15. del Campo S., Herrera R., “Warm-intermediate inflationary universe model”, J Cosmol Astropart Phys, 2009, no. 4, 005  isi
    16. del Campo S., Herrera R., “Intermediate inflation on the brane”, Phys Lett B, 670:4–5 (2009), 266–270  crossref  adsnasa  isi  scopus
    17. Pandolfi S., Giusarma E., Kolb E.W., Lattanzi M., Melchiorri A., Mena O., Pena M., Cooray A., Serra P., “Impact of general reionization scenarios on extraction of inflationary parameters”, Phys Rev D, 82:12 (2010), 123527  crossref  adsnasa  isi  elib  scopus
    18. Ganc J., Komatsu E., “A new method for calculating the primordial bispectrum in the squeezed limit”, J Cosmol Astropart Phys, 2010, no. 12, 009  crossref  isi  elib  scopus
    19. Avelino P.P., Bazeia D., Losano L., Oliveira J. C. R. E., Pavan A.B., “Duality linking standard and tachyon scalar field cosmologies”, Phys Rev D, 82:6 (2010), 063534  crossref  adsnasa  isi  elib  scopus
    20. Finelli F., Marozzi G., Starobinsky A.A., Vacca G.P., Venturi G., “Stochastic growth of quantum fluctuations during slow-roll inflation”, Phys Rev D, 82:6 (2010), 064020  crossref  adsnasa  isi  elib  scopus
    21. Pandolfi S., Cooray A., Giusarma E., Kolb E.W., Melchiorri A., Mena O., Serra P., “Harrison-Zel'dovich primordial spectrum is consistent with observations”, Phys Rev D, 81:12 (2010), 123509  crossref  adsnasa  isi  elib  scopus
    22. Vaudrevange P.M., Podolsky D.I., Starkman G.D., “Surprising phenomena in a rich new class of inflationary models”, J Cosmol Astropart Phys, 2010, no. 4, 031  crossref  mathscinet  isi  elib  scopus
    23. Magueijo J., Noller J., “Primordial fluctuations without scalar fields”, Phys Rev D, 81:4 (2010), 043509  crossref  mathscinet  adsnasa  isi  elib  scopus
    24. Noller J., Magueijo J., “Non-adiabatic primordial fluctuations”, Classical Quantum Gravity, 28:10 (2011), 105008  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    25. Joy M., Souradeep T., “Perturbed power-law parameters from WMAP7”, J Cosmol Astropart Phys, 2011, no. 2, 016  crossref  mathscinet  isi  elib  scopus
    26. Cid A., del Campo S., “Constraints from CMB in the intermediate Brans-Dicke inflation”, J Cosmol Astropart Phys, 2011, no. 1, 013  crossref  isi  elib  scopus
    27. Setare M.R., Kamali V., “Tachyon Warm-Intermediate Inflationary Universe Model in High Dissipative Regime”, J. Cosmol. Astropart. Phys., 2012, no. 8, 034  crossref  isi  elib  scopus
    28. del Campo S., “Exact Solutions in Inflation”, I Cosmosul: Cosmology and Gravitation in the Southern Cone, AIP Conference Proceedings, 1471, eds. Alcaniz J., Carneiro S., Chimento L., DelCampo S., Fabris J., Lima J., Zimdahl W., Amer Inst Physics, 2012, 27–29  crossref  adsnasa  isi
    29. Herrera R., Olivares M., Videla N., “Intermediate Inflation on the Brane and Warped Dgp Models”, Eur. Phys. J. C, 73:6 (2013), 2475  crossref  adsnasa  isi  scopus
    30. Herrera R., Olivares M., Videla N., “General Dissipative Coefficient in Warm Intermediate and Logamediate Inflation”, Phys. Rev. D, 88:6 (2013), 063535  crossref  mathscinet  adsnasa  isi  scopus
    31. Setare M.R., Kamali V., “Tachyon Warm-Logamediate Inflationary Universe Model in a High Dissipative Regime”, Phys. Rev. D, 87:8 (2013), 083524  crossref  adsnasa  isi  elib  scopus
    32. Basak A., Bhatt J.R., Shankaranarayanan S., Varma K.V.P., “Attractor Behaviour in Elko Cosmology”, J. Cosmol. Astropart. Phys., 2013, no. 4, 025  crossref  isi  elib  scopus
    33. Herrera R., San Martin E., “Warm-Intermediate Inflationary Universes on the Brane”, Int. J. Mod. Phys. D, 22:2 (2013), 1350008  crossref  adsnasa  isi  elib  scopus
    34. Herrera R., Olivares M., Videla N., “Intermediate-Generalized Chaplygin Gas Inflationary Universe Model”, Eur. Phys. J. C, 73:1 (2013), 2295  crossref  adsnasa  isi  scopus
    35. Barrow J.D., Magueijo J., “Intermediate Inflation From Rainbow Gravity”, Phys. Rev. D, 88:10 (2013), 103525  crossref  adsnasa  isi  elib  scopus
    36. Benetti M., Gerbino M., Kinney W.H., Kolb E.W., Lattanzi M., Melchiorri A., Pagano L., Riotto A., “Cosmological Data and Indications for New Physics”, J. Cosmol. Astropart. Phys., 2013, no. 10, 030  crossref  isi  elib  scopus
    37. Unnikrishnan S., Sahni V., “Resurrecting Power Law Inflation in the Light of Planck Results”, J. Cosmol. Astropart. Phys., 2013, no. 10, 063  crossref  isi  elib  scopus
    38. Geshnizjani G., Ahmadi N., “Can Non-Local Or Higher Derivative Theories Provide Alternatives to Inflation?”, J. Cosmol. Astropart. Phys., 2013, no. 11, 029  crossref  isi  elib  scopus
    39. Setare M.R., Kamali V., “Warm Vector Inflation”, Phys. Lett. B, 726:1-3 (2013), 56–65  crossref  zmath  adsnasa  isi  elib  scopus
    40. Ade P.A.R., Aghanim N., Armitage-Caplan C., Arnaud M., Ashdown M., Atrio-Barandela F., Aumont J., Baccigalupi C., Banday A.J., Barreiro R.B., Bartlett J.G., Bartolo N., Battaner E., Benabed K., Benoit A., Benoit-Levy A., Bernard J.-P., Bersanelli M., Bielewicz P., Bobin J., Bock J.J., Bonaldi A., Bond J.R., Borrill J., Bouchet F.R., Bridges M., Bucher M., Burigana C., Butler R.C., Calabrese E., Cardoso J.-F., Catalano A., Challinor A., Chamballu A., Chiang H.C., Chiang L.-Y., Christensen P.R., Church S., Clements D.L., Colombi S., Colombo L.P.L., Couchot F., Coulais A., Crill B.P., Curto A., Cuttaia F., Danese L., Davies R.D., Davis R.J., de Bernardis P., de Rosa A., de Zotti G., Delabrouille J., Delouis J.-M., Desert F.-X., Dickinson C., Diego J.M., Dole H., Donzelli S., Dore O., Douspis M., Dunkley J., Dupac X., Efstathiou G., Ensslin T.A., Eriksen H.K., Finelli F., Forni O., Frailis M., Franceschi E., Galeotta S., Ganga K., Gauthier C., Giard M., Giardino G., Giraud-Heraud Y., Gonza, “Planck 2013 Results. Xxii. Constraints on Inflation”, Astron. Astrophys., 571 (2014), A22  crossref  isi  scopus
    41. Michalik D., Lindegren L., Hobbs D., Lammers U., “Joint Astrometric Solution of Hipparcos and Gaia a Recipe For the Hundred Thousand Proper Motions Project”, Astron. Astrophys., 571 (2014), A85  crossref  isi  scopus
    42. Herrera R., Olivares M., Videla N., “General Dissipative Coefficient in Warm Intermediate Inflation in Loop Quantum Cosmology in Light of Planck and Bicep2”, Int. J. Mod. Phys. D, 23:10 (2014), 1450080  crossref  zmath  isi  elib  scopus
    43. Sharif M., Saleem R., “Study of Inflationary Generalized Cosmic Chaplygin Gas For Standard and Tachyon Scalar Fields”, Eur. Phys. J. C, 74:7 (2014), 2943  crossref  isi  scopus
    44. Barrow J.D., Lagos M., Magueijo J., “Observational Constraints on Dual Intermediate Inflation”, Phys. Rev. D, 89:8 (2014), 083525  crossref  isi  elib  scopus
    45. Setare M.R., Kamali V., “Warm-Intermediate Inflationary Universe Model With Viscous Pressure in High Dissipative Regime”, Gen. Relativ. Gravit., 46:4 (2014), 1698  crossref  zmath  isi  elib  scopus
    46. Zhang X.-M., Zhu J.-Ya., “Consistency of the Tachyon Warm Inflationary Universe Models”, J. Cosmol. Astropart. Phys., 2014, no. 2, 005  crossref  isi  scopus
    47. Setare M.R., Kamali V., “Warm Gauge-Flation”, Gen. Relativ. Gravit., 46:1 (2014), 1642  crossref  zmath  isi  elib  scopus
    48. Sharif M., Saleem R., “General Dissipative Coefficient in Strong Anisotropic Inflation”, Astrophys. Space Sci., 360:2 (2015), 46  crossref  isi  scopus
    49. Mohammadi A., Ossoulian Z., Golanbari T., Saaidi K., “Intermediate Inflation With Modified Kinetic Term”, Astrophys. Space Sci., 359:1 (2015), 7  crossref  mathscinet  isi  elib  scopus
    50. Herrera R., Videla N., Olivares M., “Warm Intermediate Inflation in the Randall-Sundrum II Model in the Light of Planck 2015 and Bicep2 Results: a General Dissipative Coefficient”, Eur. Phys. J. C, 75:5 (2015), 205  crossref  isi  scopus
    51. Herrera R., del Campo S., Olivares M., Saavedra J., Videla N., “Intermediate Inflation on Warped Dgp Model”, II Cosmosur: Cosmology and Gravitation in the Southern Cone, AIP Conference Proceedings, 1647, eds. Alcaniz J., Carneiro S., Chimento L., DelCampo S., Fabris J., Gambini R., Zimdahl W., Amer Inst Physics, 2015, 104–109  crossref  isi
    52. Sharif M., Saleem R., “Inflationary Weak Anisotropic Model With General Dissipation Coefficient”, Astrophys. Space Sci., 361:3 (2016), 107  crossref  isi  elib  scopus
    53. Herrera R., Videla N., Olivares M., “Warm Intermediate Inflationary Universe Model in the Presence of a Generalized Chaplygin Gas”, Eur. Phys. J. C, 76:1 (2016), 35  crossref  isi  scopus
    54. Nazavari N., Mohammadi A., Ossoulian Z., Saaidi Kh., “Intermediate inflation driven by DBI scalar field”, Phys. Rev. D, 93:12 (2016), 123504  crossref  isi  elib  scopus
    55. Herrera R., Perez R.G., “Approach to exact solutions of cosmological perturbations: Tachyon field inflation”, Phys. Rev. D, 93:6 (2016), 063516  crossref  mathscinet  isi  elib  scopus
    56. Kamali V., Setare M.R., “Tachyon Warm Intermediate and Logamediate Inflation in the Brane World Model in the Light of Planck Data”, Adv. High. Energy Phys., 2016, 9682398  crossref  zmath  isi  elib  scopus
    57. Clifton T., Barrow J.D., “Decay of the Cosmic Vacuum Energy”, Gravity and the Quantum: Pedagogical Essays on Cosmology, Astrophysics, and Quantum Gravity, Fundamental Theories of Physics, 187, eds. Bagla J., Engineer S., Springer International Publishing Ag, 2017, 61–71  crossref  isi
    58. Barrow J.D., Paliathanasis A., “Reconstructions of the Dark-Energy Equation of State and the Inflationary Potential”, Gen. Relativ. Gravit., 50:7 (2018), 82  crossref  isi  scopus
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
    Number of views:
    This page:720
    Full text:54

    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019