CMB from a Gauss-Bonnet-induced de Sitter fixed point

Abstract

In the gravitational effective theories including higher curvature terms, cosmological solutions can have nontrivial de Sitter fixed points. We study phenomenological implications of such points, focusing on a theory in which a massive scalar field is nonminimally coupled to the Euler density. We first analyze the phase portrait of the dynamical system and show that the fixed point can be a sink or a saddle, depending on the strength of the coupling. Then, we compute the perturbation spectra generated in the vicinity of the fixed point in order to investigate whether the fixed point may be considered as cosmic inflation. We find parameter regions that are consistent with the cosmological data, given that the anisotropies in the cosmic microwave background are seeded by the fluctuations generated near the fixed point. Future observation may be used to further constrain the coupling function of this model. We also comment briefly on the swampland conjecture.

arXiv commentv1: 12 pages; v2: 13 pages, version accepted for publication in PRD

References in corpus (61)

• Planck 2018 results. X. Constraints on inflation
• The String Landscape, Black Holes and Gravity as the Weakest Force
• Supergravity description of field theories on curved manifolds and a no go theorem
• False Vacuum Inflation with Einstein Gravity
• Distance and de Sitter Conjectures on the Swampland
• Baryogenesis from Flat Directions of the Supersymmetric Standard Model
• Gauss-Bonnet dark energy
• The Primordial Inflation Explorer (PIXIE): A Nulling Polarimeter for Cosmic Microwave Background Observations
• Effective Field Theory for Inflation
• On the Cosmological Implications of the String Swampland
• Supersymmetry Breaking in the Early Universe
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Singularity-free cosmological solutions of the superstring effective action
• Bounds on Slow Roll and the de Sitter Swampland
• Mission design of LiteBIRD
• Horizon crossing and inflation with large η
• String Cosmology: A Review
• Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
• Particle physics models of inflation and curvaton scenarios
• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Swampland Implications of GW170817-compatible Einstein-Gauss-Bonnet Gravity
• Instability of 1-loop superstring cosmology
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• Ultra slow-roll inflation demystified
• Slow-roll inflation with a Gauss-Bonnet correction
• Higher Curvature Corrections to Primordial Fluctuations in Slow-roll Inflation
• The zoo plot meets the swampland: mutual (in)consistency of single-field inflation, string conjectures, and cosmological data
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• Supergravity based inflation models: a review
• Ultra-slow-roll inflation with quantum diffusion
• Curvature perturbation at the local extremum of the inflaton's potential
• Evolution of Fluctuations during Graceful Exit in String Cosmology
• Solar System Constraints on Gauss-Bonnet Mediated Dark Energy
• Stochastic inflation beyond slow roll
• Inflation with Gauss-Bonnet coupling
• Sensitivity and foreground modelling for large-scale CMB B-mode polarization satellite missions
• Inflationary Phenomenology of Einstein Gauss-Bonnet Gravity Compatible with GW170817
• Stochastic Ultra Slow Roll Inflation
• The attractive behaviour of ultra-slow-roll inflation
• Non-Minimally Coupled Einstein Gauss Bonnet Inflation Phenomenology in View of GW170817
• Consistently violating the non-Gaussian consistency relation
• Inflation with a quartic potential in the framework of Einstein-Gauss-Bonnet gravity
• On the existence of singularity-free solutions in quartic gravity
• Slow-roll Inflation with the Gauss-Bonnet and Chern-Simons Corrections
• Gauss-Bonnet Chern-Simons gravitational wave leptogenesis
• Viable Inflationary Models in a Ghost-free Gauss-Bonnet Theory of Gravity
• On compatibility of string effective action with an accelerating universe
• Reviving non-Minimal Horndeski-like Theories after GW170817: Kinetic Coupling Corrected Einstein-Gauss-Bonnet Inflation
• De Sitter solutions in Einstein-Gauss-Bonnet gravity
• Stability analysis of de Sitter solutions in models with the Gauss-Bonnet term
• Autonomous Dynamical System Approach for Inflationary Gauss-Bonnet Modified Gravity
• Generalization of cosmological attractor approach to Einstein-Gauss-Bonnet gravity
• A Nearly Massless Graviton in Einstein-Gauss-Bonnet Inflation with Linear Coupling Implies Constant-roll for the Scalar Field
• The masses of weakly-coupled scalar fields in the early Universe
• Superhorizon curvature perturbation in ultra-slow-roll inflation
• Dark Energy from Gauss-Bonnet and non-minimal couplings
• Autonomous Dynamical System of Einstein-Gauss-Bonnet Cosmologies
• Quantum loop effects to the power spectrum of primordial perturbations during ultra slow-roll inflation
• Chaotic dynamics of the Bianchi IX universe in Gauss-Bonnet gravity

Cited by in corpus (23)

• Primordial gravitational waves from NANOGrav: a broken power-law approach
• Amplification of Primordial Perturbations from the Rise or Fall of the Inflaton
• Revisiting small-scale fluctuations in $\alpha$-attractor models of inflation
• Primordial black holes and scalar induced gravitational waves from the $E$ model with a Gauss-Bonnet term
• Primordial black holes in nonminimal derivative coupling inflation with quartic potential and reheating consideration
• Primordial black holes and gravitational waves from nonminimally coupled supergravity inflation
• Primordial black holes ensued from exponential potential and coupling parameter in nonminimal derivative inflation model
• Pinning down the primordial black hole formation mechanism with gamma-rays and gravitational waves
• Primordial black holes from Higgs inflation with a Gauss-Bonnet coupling
• Generation of primordial black holes from an inflation model with modified dispersion relation
• New slow-roll approximations for inflation in Einstein-Gauss-Bonnet gravity
• Study of Goldstone Inflation in the domain of Einstein-Gauss-Bonnet gravity
• Gravitational Waves in Chern-Simons-Gauss-Bonnet Gravity
• Composite Inflation and further refining dS swampland conjecture
• Probing the Origin of Primordial Black Holes through Novel Gravitational Wave Spectrum
• Primordial Black Holes and Gravitational Waves in the $U(1{)}_{B-L}$ Extended Inert Doublet Model: A First-Order Phase Transition Perspective
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Slow-roll approximations in Einstein--Gauss--Bonnet gravity formulated in terms of e-folding numbers
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation
• Constraints on ultra-slow-roll inflation with the NANOGrav 15-Year Dataset
• Sound Speed Resonance of Gravitational Waves in Gauss-Bonnet-coupled inflation
• Gauss-Bonnet-induced symmetry breaking/restoration during inflation
• Friedmann's Universe Controlled by Gauss-Bonnet Modified Gravity