Reconstruction of extended inflationary potentials for attractors

2017/03/31 by Qing Gao, Yungui Gong · 28 citations
Mathematics · Physics and Astronomy · #Attractor #Black Holes and Theoretical Physics #Class (philosophy) #Computer science #Constant (computer programming) #Cosmology and Gravitation Theories #Coupling (piping) #Coupling constant #Galaxies: Formation, Evolution, Phenomena #Inflation (cosmology) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Observable #Physics #Quantum mechanics #Statistical physics #Theoretical physics #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1140/epjp/i2018-12324-3

published in The European Physical Journal Plus 133(11) (Springer Science+Business Media) · 9 pages, 2 figures. Revisons, epjp in press

openalex publication_date 2018/11/01 · arxiv created 2018/11/27 · arxiv updated 2018/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We give the procedure to reconstruct the extended inflationary potentials for attractors and use the α attractor and the constant-roll model as examples to show how to reconstruct the class of extended inflationary potentials in the strong coupling limit. We also derive the strong coupling condition which the coupling constant ξ satisfies. The class of extended inflationary potentials has the same attractor, and the reconstructed extended inflationary potentials are consistent with the observational constraints. The existence of the attractors from extended inflationary models further challenges the model discrimination just by the observables n_s and r.

Citations

• Unity of Cosmological Inflation Attractors
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• What Would We Learn by Detecting a Gravitational Wave Signal in the Cosmic Microwave Background Anisotropy?
• The Standard Model Higgs boson as the inflaton
• Horizon crossing and inflation with largeη
• Plateau inflation from random non-minimal coupling
• Shortcomings of new parametrizations of inflation
• Constant-roll (quasi-)linear inflation
• The attractive behaviour of ultra-slow-roll inflation
• Planck 2015 results
• Planck 2015 results. XX. Constraints on inflation

Cited by

• Constant-Roll Inflation
• Reconstruction of constant slow-roll inflation