Reconstruction of constant slow-roll inflation

2017/04/28 by Qing Gao
Mathematics · Physics and Astronomy · #Attractor #Classical mechanics #Constant (computer programming) #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #General relativity #Geometry #Inflation (cosmology) #Inflaton #Mathematical analysis #Mathematical physics #Mathematics #Physics #Planck #Quantum mechanics #Scalar (mathematics) #Scalar field #Slow roll #Solar and Space Plasma Dynamics #Tensor (intrinsic definition) #Theoretical physics #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1007/s11433-017-9065-4

published as SCIENCE CHINA Physics, Mechanics & Astronomy 60 (2017) 090411

arxiv created 2017/04/28 · openalex publication_date 2017/07/17 · arxiv updated 2017/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

By using the relations between the slow-roll parameters and the power spectrum for the single field slow-roll inflation, we derive the scalar spectral tilt n_s and the tensor to scalar ratio r for the constant slow-roll inflation and obtain the constraint on the slow-roll parameter η from the Planck 2015 results. The inflationary potential for the constant slow-roll inflation is then reconstructed in the framework of both general relativity and scalar-tensor theory of gravity, and compared with the recently reconstructed E model potential. In the strong coupling limit, we show that the η attractor is reached.

Citations

• Unity of Cosmological Inflation Attractors
• Phenomenological approaches of inflation and their equivalence
• What Would We Learn by Detecting a Gravitational Wave Signal in the Cosmic Microwave Background Anisotropy?
• The Standard Model Higgs boson as the inflaton
• PRISM (Polarized Radiation Imaging and Spectroscopy Mission): an extended white paper
• Shortcomings of new parametrizations of inflation
• Reconstruction of extended inflationary potentials for attractors
• Planck 2015 results
• Planck 2015 results. XX. Constraints on inflation

Cited by

• Dynamical systems approach to Cold and Warm Inflation within slow-roll and beyond