Intermediate inflation in generalized non-minimal derivative coupling model

Abstract

In this work, we consider intermediate inflation in context of the Generalized Non-Minimal Derivative Coupling (GNMDC) model. In this model, inflation is driven by a canonical scalar field that is coupled not only to gravity but also to the derivative of the scalar field. The GNMDC model introduces new dynamics and features during the inflationary epoch. We find inflationary solutions with a power law scalar field for the power law coupling function. Additionally, we determine the inflaton potential that generates intermediate expansion of the scale factor. We also discuss the background equations in the high friction limit and derive constraints on the parameters of our model. Furthermore, we investigate the cosmological perturbations in the slow roll approximation within the GNMDC model, We calculate the scalar and tensor spectral index and the tensor-to-scalar ratio during the intermediate inflation. We compare the results of this model with the observational data that can be used to test the model using the cosmic microwave background radiation data. Overall, we establish conditions for the inflaton potential that ensure the continuation of accelerated expansion during the slow roll inflation. We numerically analyze the power spectrum and spectral index for scalar and tensor modes in intermediate inflation in the high friction limit. Moreover, we use the Planck 2018 data, to obtain constraints on the parameters of the model. We demonstrate that intermediate inflation in the GNMDC model is successful in evaluation and explanation of the background and perturbational quantities using observational data.

arXiv comment24 pages, 9 figures

References in corpus (39)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Generalized G-inflation: Inflation with the most general second-order field equations
• Covariant Galileon
• Encyclopaedia Inflationaris
• A new approach to the evolution of cosmological perturbations on large scales
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• General second order scalar-tensor theory, self tuning, and the Fab Four
• New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity
• First CMB Constraints on the Inflationary Reheating Temperature
• Exact cosmological solutions with nonminimal derivative coupling
• Quintessence and phantom cosmology with non-minimal derivative coupling
• Recent Advances on Inflation
• Primordial Black Holes from Inflation with Nonminimal Derivative Coupling
• Running Kinetic Inflation
• Observational tests of inflation with a field derivative coupling to gravity
• Intermediate inflation in light of the three-year WMAP observations
• Inflation without Slow Roll
• UV-protected (Natural) Inflation: Primordial Fluctuations and non-Gaussian Features
• Cosmological Perturbations in the New Higgs Inflation
• Realistic cosmological scenario with non-minimal kinetic coupling
• Palatini-Higgs inflation with non-minimal derivative coupling
• Generalized Non-Minimal Derivative Coupling: Application to Inflation and Primordial Black Hole Production
• Reheating in nonminimal derivative coupling model
• The screening Horndeski cosmologies
• Intermediate inflation from a non-canonical scalar field
• Warm-Intermediate inflationary universe model in braneworld cosmologies
• Anisotropy screening in Horndeski cosmologies
• Intermediate inflation on the brane
• Warm intermediate inflationary Universe model in the presence of a Generalized Chaplygin Gas
• Temperature in warm inflation in non minimal kinetic coupling model
• G-inflation: From the intermediate, logamediate and exponential models
• Galileon intermediate inflation
• Gravitational baryogenesis in non-minimal kinetic coupling model
• Understanding large scale CMB anomalies with the generalized non-minimal derivative coupling during inflation
• G-Warm inflation: Intermediate model
• Intermediate and Power-Law Inflation in the Tachyon Model with Constant Sound Speed