Slow-Roll Inflation in Scalar-Tensor Models

Abstract

The linear and quadratic perturbations for a scalar-tensor model with non-minimal coupling to curvature, coupling to the Gauss-Bonnet invariant and non-minimal kinetic coupling to the Einstein tensor are developed. The quadratic action for the scalar and tensor perturbations is constructed and the power spectra for the primordial scalar and tensor fluctuations are given. A consistency relation that is useful to discriminate the model from the standard inflation with canonical scalar field was found. For some power-law potentials it is shown that the Introduction of additional interactions, given by non-minimal, kinetic and Gauss-Bonnet couplings, can lower the tensor-to-scalar ratio to values that are consistent with latest observational constraints, and the problem of large fields in chaotic inflation can be avoided.

arXiv comment52 pages,4 figures, version published in JCAP

References in corpus (68)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The Standard Model Higgs boson as the inflaton
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• k-Inflation
• The galileon as a local modification of gravity
• Towards Inflation in String Theory
• Generalized G-inflation: Inflation with the most general second-order field equations
• Planck 2013 results. XXII. Constraints on inflation
• Covariant Galileon
• DBI in the Sky
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Monodromy in the CMB: Gravity Waves and String Inflation
• Gravity Waves and Linear Inflation from Axion Monodromy
• Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
• The Cold Dark Matter Density Perturbation
• Superconformal Inflationary $\alpha$-Attractors
• G-inflation: inflation driven by the Galileon field
• Natural Chaotic Inflation in Supergravity
• General second order scalar-tensor theory, self tuning, and the Fab Four
• Minimal Supergravity Models of Inflation
• Singularity-free cosmological solutions of the superstring effective action
• New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity
• Vector Inflation
• Vector Field Models of Inflation and Dark Energy
• TASI Lectures on Inflation
• Exact cosmological solutions with nonminimal derivative coupling
• Galileon inflation
• New models of chaotic inflation in supergravity
• xPert: Computer algebra for metric perturbation theory
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Equilateral Non-Gaussianity and New Physics on the Horizon
• Inflation from Warped Space
• Instability of 1-loop superstring cosmology
• Higgs G-inflation
• Singularity-free cosmological solutions in quadratic gravity
• Slow-roll inflation with a Gauss-Bonnet correction
• Gauss-Bonnet Inflation
• Higher Curvature Corrections to Primordial Fluctuations in Slow-roll Inflation
• On Inflation in String Theory
• Dark energy, $\alpha$-attractors, and large-scale structure surveys
• Inflation and the Theory of Cosmological Perturbations
• Primordial non-Gaussianity from the DBI Galileons
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• Nonminimal Derivative Couplings and Inflation in Generalized Theories of Gravity
• Quintessential Inflation with $\alpha$-attractors
• Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices
• Nonminimal Derivative Coupling and the Recovering of Cosmological Constant
• The Behaviour Of Cosmological Models With Varying-G
• Observational tests of inflation with a field derivative coupling to gravity
• Evolution of cosmological perturbations in non-singular string cosmologies
• Inflation coupled to a Gauss-Bonnet term
• xPand: An algorithm for perturbing homogeneous cosmologies
• Evolution of Fluctuations during Graceful Exit in String Cosmology
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• Inflation with Gauss-Bonnet coupling
• General Non-minimal Kinetic coupling to gravity
• Inflation driven by Einstein-Gauss-Bonnet gravity
• On Minimally-Parametric Primordial Power Spectrum Reconstruction and the Evidence for a Red Tilt
• No-Go Theorem for Gauss-Bonnet Inflation without Inflaton Potential
• Inflationary models with non-minimally derivative coupling
• Non-minimal Kinetic coupling to gravity and accelerated expansion
• Potential-driven Galileon inflation
• The Reconstruction of $f(\varphi )R$ and Mimetic Gravity from Viable Slow-roll Inflation
• SUGRA chaotic inflation and moduli stabilisation
• Inflationary Dynamics with a Smooth Slow-Roll to Constant-Roll Era Transition
• Inflation driven by scalar field with non-minimal kinetic coupling with Higgs and quadratic potentials
• Primordial Spectra of slow-roll inflation at second-order with the Gauss-Bonnet correction
• Observational Signatures of Gravitational Couplings in DBI Inflation

Cited by in corpus (13)

• Palatini-Higgs inflation with non-minimal derivative coupling
• Higgs inflation with non-minimal derivative coupling to gravity
• Formalizing Slow-roll Inflation in Scalar-Tensor Theories of Gravitation
• Scalar-tensor extension of Natural Inflation
• Gauss-Bonnet inflation with a constant rate of roll
• Conformal and kinetic couplings as two Jordan frames of the same theory
• Higgs Inflation with linear and quadratic curvature corrections
• More accurate slow-roll approximations for inflation in scalar-tensor theories
• Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole
• Evolution of the early universe in Einstein-Cartan theory
• Search for dark Higgs inflaton with curvature couplings at LHC experiments
• Inflation in simple one-loop effective potentials of perturbative quantum gravity
• Cosmic Dynamics in Einstein-Cartan Theory: Analysing Hubble Tension through Curvature and Torsion field