Hamilton-Jacobi formalism for k-inflation
arXiv:2306.09843 · doi:10.1016/j.dark.2024.101560
Abstract
We consider a type of k-inflation under the Hamilton-Jacobi approach. We calculate various observables such as the scalar power spectrum, the tensor-to-scalar ratio, the scalar spectra index for the case where the Hubble parameter is a power-law function of k-field. The model's parameters are constrained with Planck data and the concrete form of the potential is presented. The results show that the model can be in good agreement with observations.
arXiv comment10 pages, 2 figures, 1 table
References in corpus (36)
- Planck 2018 results. X. Constraints on inflation
- A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
- k-Inflation
- Essentials of k-essence
- Perturbations in k-inflation
- Reconstructing the Inflaton Potential --- an Overview
- Formalising the Slow-Roll Approximation in Inflation
- A new view of k-essence
- Field-theoretical formulations of MOND-like gravity
- A Hamilton-Jacobi approach to non-slow-roll inflation
- Enhancing the tensor-to-scalar ratio in simple inflation
- Refining inflation using non-canonical scalars
- Inflationary Attractor from Tachyonic Matter
- Non-Canonical Inflation and Primordial Black Holes Production
- K-inflationary Power Spectra at Second Order
- Attractive Lagrangians for Noncanonical Inflation
- Intermediate inflation from a non-canonical scalar field
- Observational constraints on K-inflation models
- Hamilton-Jacobi formalism to warm inflationary scenario
- Extension of warm inflation to noncanonical scalar fields
- Constant-roll approach to non-canonical inflation
- Hamilton-Jacobi Formalism for Tachyon Inflation
- Hamilton-Jacobi formalism for inflation with non-minimal derivative coupling
- Minimal -inflation in light of the conformal metric-affine geometry
- Slow roll in simple non-canonical inflation
- Beta-function formalism for k-essence constant-roll inflation
- Relations between canonical and non-canonical inflation
- Detectable primordial non-gaussianities and gravitational waves in k-inflation
- Non-canonical inflation coupled to matter
- The Degeneracy Problem in Non-Canonical Inflation
- Inflation with non-canonical scalar fields revisited
- -Inflation-corrected Einstein-Gauss-Bonnet Gravity with Massless Primordial Gravitons
- Primordial power spectra from -inflation with curvature
- Reheating constraints on K-inflation
- Hamilton-Jacobi approach for quasi-exponential inflation: predictions and constraints after Planck 2015 results
- K-Inflation in Noncommutative Space-Time