Scale-dependent power spectrum from initial excited-de Sitter modes

Abstract

In this paper, we calculate corrections of scalar perturbations spectra resulting from excited-de Sitter modes as the nontrivial initial states. To obtain these modes, we consider the asymptotic expansion of the Hankel functions up to the higher order of 1/kτ . Actually the Planck and WMAP data impose some constrains on the Hankel function index. These observational constraints and back-reaction effects stimulate us to use excited-de Sitter modes. Finally, we nominate these nontrivial general solutions as the fundamental mode functions during inflation and we calculate the corrected form of scale-dependent power spectrum with trans-Planckian corrections, and in de Sitter space-time limit the results reduce to the scale-invariant power spectrum.

16 pages, Title slightly modified, Back-reaction added,Some references added, Published open access in JHEP

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Cited by in corpus (10)

• An Asymptotic Method for Selection of Inflationary Modes
• The Effect of $\alpha$-Vacua on the Scalar and Tensor Spectral Indices: Slow-Roll Approximation
• Higher Order Corrections to Asymptotic-de Sitter Inflation
• On the initial conditions of scalar and tensor fluctuations in $f(R,\varphi )$ gravity
• Large Angular Scale CMB Anisotropy from an Excited Initial Mode
• A Covariant Approach for Particle Creation in Non-flat Background
• Inflation in Non-de Sitter Background with Coherent States
• Creation of Non-minimal Coupled Particle in Asymptotic de-Sitter Background
• Reconstruction of initial Asymptotic-de Sitter mode in light of the Planck data
• Accelerating Universe in Terms of Hankel Function Index