Second order general slow-roll power spectrum

2004/05/31 by Jeongyeol Choe, Jinn-Ouk Gong, Ewan D. Stewart · 7 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Solar and Space Plasma Dynamics #astro-ph #hep-ph

paper · pdf · doi:10.1088/1475-7516/2004/07/012

published as JCAP0407:012,2004 · 11 pages, 1 figure ; A typo in Eq. (38) is fixed ; References expanded and a note added

arxiv created 2004/07/05 · openalex publication_date 2004/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Recent combined results from the Wilkinson microwave anisotropy probe (WMAP) and Sloan digital sky survey (SDSS) provide a remarkable set of data which requires more accurate and general investigation. Here we derive formulae for the power spectrum of the density perturbations produced during inflation in the general slow-roll approximation with second order corrections. Also, using the result, we derive the power spectrum in the standard slow-roll picture with previously unknown third order corrections.

Citations

• A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results

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• Planck2015 results
• Generalized slow roll approximation for large power spectrum features