Higher order corrections to asymptotic-de Sitter inflation

  • Since trans-Planckian considerations can be associated with the re-definition of the initial vacuum, we investigate further the influence of trans-Planckian physics on the spectra produced by the initial quasi-de Sitter (dS) state during inflation. We use the asymptotic-dS mode to study the trans-Planckian correction of the power spectrum to the quasi-dS inflation. The obtained spectra consist of higher order corrections associated with the type of geometry and harmonic terms sensitive to the fluctuations of space-time (or gravitational waves) during inflation. As an important result, the amplitude of the power spectrum is dependent on the choice of c, i.e. the type of space-time in the period of inflation. Also, the results are always valid for any asymptotic dS space-time and particularly coincide with the conventional results for dS and flat space-time.
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M. Mohsenzadeh and E. Yusofi. Higher order corrections to asymptotic-de Sitter inflation[J]. Chinese Physics C, 2017, 41(8): 085101. doi: 10.1088/1674-1137/41/8/085101
M. Mohsenzadeh and E. Yusofi. Higher order corrections to asymptotic-de Sitter inflation[J]. Chinese Physics C, 2017, 41(8): 085101.  doi: 10.1088/1674-1137/41/8/085101 shu
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Higher order corrections to asymptotic-de Sitter inflation

  • 1.  Department of Physics, Qom Branch, Islamic Azad University, Qom, Iran
  • 2. Department of Physics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Mazandaran, Iran
  • 3. School of Astronomy, Institute for Research in Fundamental Sciences(IPM), P. O. Box 19395-5531, Tehran, Iran

Abstract: Since trans-Planckian considerations can be associated with the re-definition of the initial vacuum, we investigate further the influence of trans-Planckian physics on the spectra produced by the initial quasi-de Sitter (dS) state during inflation. We use the asymptotic-dS mode to study the trans-Planckian correction of the power spectrum to the quasi-dS inflation. The obtained spectra consist of higher order corrections associated with the type of geometry and harmonic terms sensitive to the fluctuations of space-time (or gravitational waves) during inflation. As an important result, the amplitude of the power spectrum is dependent on the choice of c, i.e. the type of space-time in the period of inflation. Also, the results are always valid for any asymptotic dS space-time and particularly coincide with the conventional results for dS and flat space-time.

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