A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation

1993/02/18 by Ewan D. Stewart, E. D. Stewart, David H. Lyth +1 · 37 citations
Mathematics · Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Geometry #Gravitational wave #Inflation (cosmology) #Mathematics #Physics #Relativity and Gravitational Theory #Scalar (mathematics) #Scalar curvature #Spectral density #Statistics #Theoretical physics #astro-ph #gr-qc #hep-ph

paper · pdf · doi:10.1016/0370-2693(93)90379-v

published as Phys.Lett.B302:171-175,1993 · 9 pages, KUNS 1176 and LANCS TH 93 01

arxiv created 1993/02/18 · openalex publication_date 1993/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Formulae are derived for the spectra of scalar curvature perturbations and gravitational waves produced during inflation, special cases of which include power law inflation, natural inflation in the small angle approximation and inflation in the slow roll approximation.

Citations

• The development of irregularities in a single bubble inflationary universe
• Dynamics of phase transition in the new inflationary universe scenario and generation of perturbations
• Spontaneous creation of almost scale-free density perturbations in an inflationary universe
• Fluctuations in the New Inflationary Universe

Cited by

• Time-reversed Stochastic Inflation
• Quantum contributions to cosmological correlations
• Shortcomings of new parametrizations of inflation
• Hilltop inflation
• Horizon crossing and inflation with largeη
• The first second of the Universe
• A new approach to the vacuum of inflationary models
• Slow-roll parameters in braneworld cosmologies
• Inflationary and deflationary branches in extended pre-big-bang cosmology
• The separate universe approach to soft limits
• Primordial power spectra of cosmological fluctuations with generalized uncertainty principle and maximum length quantum mechanics
• Let Effective Field Theory of inflation flow: stochastic generation of models with red/blue tensor tilt
• Primordial black holes, eternal inflation, and the inflationary parameter space after WMAP5
• Scale-dependent power spectrum from initial excited-de Sitter modes
• Comparing brane inflation to WMAP
• Eigenvalues of the Stewart–Lyth equation for inflation with a blue spectrum
• Slow-Roll Inflation and Cosmic Microwave Background Anisotropy Data
• Approximate consistency condition from a running spectral index in slow-roll inflationary models
• Features in the primordial spectrum: New constraints from WMAP7 and ACT data and prospects for the Planck mission
• NATURAL INFLATION: STATUS AFTER WMAP THREE-YEAR DATA
• Inflationary perturbations near horizon crossing
• Inflation over a local maximum of a potential
• Consistency equations in Randall–Sundrum cosmology: a test for braneworld inflation
• Implications of the curvaton on inflationary cosmology
• Detecting relic gravitational waves in the CMB: Optimal parameters and their constraints
• Primordial black holes and gravitational waves from parametric amplification of curvature perturbations
• INFLATION AS AN ATTRACTOR IN SCALAR COSMOLOGY
• Natural inflation: Status after WMAP 3-year data
• Constraints from primordial black hole formation at the end of inflation
• ϕ2inflation at its endpoint
• Cosmic microwave background bispectrum and slow-roll inflation
• Constraints on tensor to scalar ratio using WKB approximation
• Prospects for direct detection of primordial gravitational waves
• Multiple inflation and the WMAP “glitches”
• Relating spectral indices to tensor and scalar amplitudes in inflation
• Testing inflation with the cosmic microwave background
• Low power on large scales in just-enough inflation models