Eigenvalues of the Stewart–Lyth equation for inflation with a blue spectrum

2000/06/24 by Franz E. Schunck, Eckehard W. Mielke · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmic microwave background #Cosmology and Gravitation Theories #Eigenvalues and eigenvectors #Inflation (cosmology) #Mathematical analysis #Mathematics #Nonlinear system #Optics #Physics #Quantum mechanics #Solar and Space Plasma Dynamics #Spectrum (functional analysis) #Theoretical physics #astro-ph

paper · pdf · doi:10.1016/s0370-2693(00)00689-4

published in Physics Letters B 485(1-3), 231-238 (Elsevier BV) · 10 pages, uses REVTeX, 6 postscript figures, accepted by PLB

arxiv created 2000/06/24 · openalex publication_date 2000/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

By using the rather stringent nonlinear second order slow-roll approximation, we reconsider the nonlinear second order Abel equation of Stewart and Lyth. We determine a new blue eigenvalue spectrum. Some of the discrete values of the spectral index n_s have consistent fits to the cumulative COBE data as well as to recent ground-base CMB experiments.

Citations

• Quintessence, Flat Potential and String/M Theory Axion
• Review of Ground-Based CMB Experiments
• A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation
• Assisted inflation