Beta-function formalism for k-essence constant-roll inflation

Abstract

The beta function formalism is being used to study the constant-roll inflation in the k-essence model. Assuming the second slow-roll parameter as a constant leads to a first-order differential equation for $\beta$-function which is much easier to solve and find a solution than the second (non-linear) order equation that we have in corresponding standard constant-roll inflation. Many cosmological models are known as a subclass of k-essence, so we will try to consider the model as general as possible. It is determined that the second slow-roll parameter should be positive to produce a small value for the first slow-roll parameter. The scenario is considered for three well-known cosmological models, and it is clarified that for the non-canonical and tachyon model, the scalar spectral index never reaches the observational range, however for the DBI model, we could arrive at a result consistent with observational data.

arXiv comment19 pages, 11 figures

References in corpus (56)

• Perturbations in k-inflation
• Planck 2013 results. XXII. Constraints on inflation
• Accelerated expansion of the universe driven by tachyonic matter
• Warm Inflation
• Formalising the Slow-Roll Approximation in Inflation
• Chaotic inflation on the brane
• Horizon crossing and inflation with large η
• Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
• Power-Law Inflation from the Rolling Tachyon
• Scalar perturbation spectra from warm inflation
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• Inflation from a Tachyon Fluid?
• Warm Inflation in the Adiabatic Regime- a Model, an Existence Proof for Inflationary Dynamics in Quantum Field Theory
• Inflation with a constant rate of roll
• Perturbation Spectra in the Warm Inflationary Scenario
• Brane cosmology driven by the rolling tachyon
• Planck 2018 results. IX. Constraints on primordial non-Gaussianity
• Unification of Constant-roll Inflation and Dark Energy with Logarithmic $R^2$-corrected and Exponential $F(R)$ Gravity
• A Hamilton-Jacobi approach to non-slow-roll inflation
• Constant-roll Inflation in $f(T)$ Teleparallel Gravity
• $f(R)$ constant-roll inflation
• Constant-roll Inflation in $F(R)$ Gravity
• Refining inflation using non-canonical scalars
• Inflationary Attractor from Tachyonic Matter
• Universality classes for models of inflation
• Constant-Roll (Quasi-)Linear Inflation
• Systematics of Constant Roll Inflation
• Inflation with a Smooth Constant-Roll to Constant-Roll Era Transition
• Inflationary Dynamics with a Smooth Slow-Roll to Constant-Roll Era Transition
• Reheating in Constant-roll $F(R)$ Gravity
• New perspectives on constant-roll inflation
• Constant-roll tachyon inflation and observational constraints
• Intermediate inflation from a non-canonical scalar field
• Tachyon constant-roll inflation
• Hamilton-Jacobi formalism to warm inflationary scenario
• Primordial Anisotropies in Gauged Hybrid Inflation
• Constant-roll approach to non-canonical inflation
• Stability analysis of inflation with an SU(2) gauge field
• Hamilton-Jacobi Formalism for Tachyon Inflation
• Anisotropic inflation in Brans-Dicke gravity
• $\beta$-function formalism for inflationary models with a non minimal coupling with gravity
• Hamilton-Jacobi formalism for inflation with non-minimal derivative coupling
• Constant-roll $k$-Inflation Dynamics
• Initial Conditions for Non-Canonical Inflation
• Brane inflation driven by noncanonical scalar field
• Slow roll in simple non-canonical inflation
• Dynamics of Gauge Field Inflation
• Relations between canonical and non-canonical inflation
• Viscous Warm Inflation: Hamilton-Jacobi formalism
• A Smooth Constant-Roll to a Slow-Roll Modular Inflation Transition
• Observational constraints on DBI constant-roll inflation
• Light of Planck-2015 on Non-Canonical Inflation
• Non-canonical inflation coupled to matter
• Universality in generalized models of inflation
• Planck Limits on Non-canonical Generalizations of Large-field Inflation Models
• Resurrecting the exponential and inverse power-law potentials in non-canonical inflation

Cited by in corpus (12)

• Brane Constant-roll Inflation
• Tsallis holographic dark energy for inflation
• Brane inflation and Trans-Planckian censorship conjecture
• Natural Inflation with non minimal coupling to gravity in $R^2$ gravity under the Palatini formalism
• Holographic warm inflation
• Inflation with exotic kinetic terms in Einstein-Chern-Simons gravity
• Tsallis holographic inflation in $f(R,T)$ gravity: CMB constraints, reheating, and swampland implications
• Analytical Insights into Constant-Roll Condition: Extending the Paradigm to Non-Canonical Models
• Hamilton-Jacobi formalism for k-inflation
• $\beta$-function reconstruction of Palatini inflationary attractors
• Hamilton-Jacobi analysis of noncanonical inflation in $f(R,T)$ gravity: Constraints from Planck/ACT data, and theoretical bounds
• Reconstructing square-law k-inflation from Planck data