International Journal of Theoretical Physics

, Volume 57, Issue 5, pp 1410–1416 | Cite as

Large-Scale Corrections to the CMB Anisotropy from Asymptotic de Sitter Mode

  • A. Sojasi


In this study, large-scale effects from asymptotic de Sitter mode on the CMB anisotropy are investigated. Besides the slow variation of the Hubble parameter onset of the last stage of inflation, the recent observational constraints from Planck and WMAP on spectral index confirm that the geometry of the universe can not be pure de Sitter in this era. Motivated by these evidences, we use this mode to calculate the power spectrum of the CMB anisotropy on the large scale. It is found that the CMB spectrum is dependent on the index of Hankel function ν which in the de Sitter limit \(\nu \rightarrow \frac {3}{2}\), the power spectrum reduces to the scale invariant result. Also, the result shows that the spectrum of anisotropy is dependent on angular scale and slow-roll parameter and these additional corrections are swept away by a cutoff scale parameter HM < M P .


Initial mode Inflation 



This work has been supported by the Islamic Azad University, Rasht Branch, Rasht, Iran.


  1. 1.
    Moukhanov, V.M.: Physical foundation of cosmology. Cambridge University Press, New York (2005)CrossRefGoogle Scholar
  2. 2.
    Weinberg, S.: Cosmology. Cambridge University Press, New York (2008)zbMATHGoogle Scholar
  3. 3.
    Kundu, S.: JCAP 02, 005 (2012)ADSCrossRefGoogle Scholar
  4. 4.
    Hinshaw, G., Larson, D., Komatsu, E., et al.: ApJS 208, 19 (2013)ADSCrossRefGoogle Scholar
  5. 5.
    Ashoorioon, A.: JCAP 02, 025 (2014)ADSMathSciNetCrossRefGoogle Scholar
  6. 6.
    Ade, P.A.R. et al.: Astron. Asstrophys. 571, A22 (2014)CrossRefGoogle Scholar
  7. 7.
    Bunch, T.S., Davies, P.C.W.: Proc. Roy. Soc. Lond. A360, 117 (1978)ADSCrossRefGoogle Scholar
  8. 8.
    Germn, G., Mazumdar, A., Prez-Lorenzana, A.: Mod. Phys. Lett. A17, 1627 (2002)ADSCrossRefGoogle Scholar
  9. 9.
    Sami, M.: Modern Phys. Lett. A18, 691 (2003)ADSCrossRefGoogle Scholar
  10. 10.
    Wang, X. et al.: Int. J. Mod. Phys. D14, 1347 (2005)ADSCrossRefGoogle Scholar
  11. 11.
    Bennai, M.: Int. J. Mod. Phys. A25, 3445 (2010)ADSGoogle Scholar
  12. 12.
    Lee, S., Nam, S.: Int. J. Mod. Phys. A26, 1073 (2011)ADSCrossRefGoogle Scholar
  13. 13.
    da Paz, G., Sampaio, M.: Mod. Phys. Lett. A32, 1750104 (2017)Google Scholar
  14. 14.
    Mohsenzadeh, M., Rouhani, S., Takook, M.V.: Int. J. Theor. Phys. 48, 755 (2009)CrossRefGoogle Scholar
  15. 15.
    Mohsenzadeh, M., Sojasi, A., Yusofi, E.: Mod. Phys. Lett. A26, 2697 (2011)ADSCrossRefGoogle Scholar
  16. 16.
    Takook, M.V.: Mod. Phys. Lett. A16, 1691 (2001)ADSMathSciNetCrossRefGoogle Scholar
  17. 17.
    Martin, J., Brandenberger, R.H.: Phys. Rev. D63, 123501 (2001)ADSGoogle Scholar
  18. 18.
    Green, B., Schalm, K., Van der Schaar, J.P.: 22nd Texas Symposium on Relativistic Astrophtsics at stanford University, Des. 13 (2004)Google Scholar
  19. 19.
    Danielsson, U.H.: Phys. Rev. D71, 023516 (2005)ADSMathSciNetGoogle Scholar
  20. 20.
    Kallosh, R., Linde, A.: JCAP 04, 017 (2007)ADSCrossRefGoogle Scholar
  21. 21.
    Cai, Y. et al.: Phys. Rev. D92, 121303 (2015)ADSGoogle Scholar
  22. 22.
    Das, S. et al.: JCAP 06, 001 (2015)ADSCrossRefGoogle Scholar
  23. 23.
    Yusofi, E., Mohsenzadeh, M.: JHEP 09, 020 (2014)ADSCrossRefGoogle Scholar
  24. 24.
    Birrel, N.D., Davies, P.C.W.: Quantum field in curved space-time. Cambridge University Press, Cambridge (1982)CrossRefGoogle Scholar
  25. 25.
    Lyth, D.H., Liddle, A.R.: The primordial density perturbation: cosmology, inflation and the origin of structure. Cambridge University Press, New York (2009)CrossRefzbMATHGoogle Scholar
  26. 26.
    Gradshteyn, I.S., Ryzhik, I.M.: Table of integrals,series and products. Elsevier Accademic Press (2007)Google Scholar
  27. 27.
    Yusofi, E., Mohsenzadeh, M.: Creation of non-minimal coupled particle in asymptotic de sitter. arXiv:1506.02767

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Physics, Rasht BranchIslamic Azad UniversityRashtIran

Personalised recommendations