Viable Intermediate Inflation in the Mimetic DBI Model

Abstract

We study the intermediate inflation in the mimetic Dirac-Born-Infeld model. By considering the scale factor as $a=a_0\exp (b{t}^{\beta })$, we show that in some ranges of the intermediate parameters $b$ and $\beta$, the model is free of the ghost and gradient instabilities. We study the scalar spectral index, tensor spectral index, and the tensor-to-scalar ratio in this model and compare the results with Planck2018 TT, TE, EE+lowE+lensing +BAO +BK14 data at $68\%$ and $95\%$ CL. In this regard, we find some constraints on the intermediate parameters that lead to the observationally viable values of the perturbation parameters. We also seek the non-gaussian features of the primordial perturbations in the equilateral configuration. By performing the numerical analysis on the nonlinearity parameter in this configuration, we show that the amplitude of the non-gaussianity in the intermediate mimetic DBI model is predicted to be in the range $-16.7<f^{equil}<-12.5$. We show that, with $0<b\le 10$ and $0.345<\beta <0.387$, we have an instabilities-free intermediate mimetic DBI model that gives the observationally viable perturbation and non-gaussianity parameters.

arXiv comment24 pages, 9 figures, 2 tables

References in corpus (75)

• Efficient Computation of CMB anisotropies in closed FRW models
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• Non-Gaussianity from Inflation: Theory and Observations
• An All-Sky Analysis of Polarization in the Microwave Background
• DBI in the Sky
• Tachyon Matter
• Statistics of Cosmic Microwave Background Polarization
• Signature of Gravity Waves in Polarization of the Microwave Background
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Reconstructing the Inflaton Potential --- an Overview
• Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
• Primordial Non-Gaussianities from Inflation Models
• The shape of non-Gaussianities
• CMB Anisotropies: Total Angular Momentum Method
• Supersymmetric World-volume Action for Non-BPS D-branes
• Delta M_K and epsilon_K in SUSY at the Next-to-Leading order
• Primordial non-gaussianities in single field inflation
• Mimetic Dark Matter
• Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
• TASI Lectures on Inflation
• Cosmology with Mimetic Matter
• Inflation from Warped Space
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• Perturbation Spectra from Intermediate Inflation
• Hamiltonian analysis of higher derivative scalar-tensor theories
• On the recently proposed Mimetic Dark Matter
• A Complete Treatment of CMB Anisotropies in a FRW Universe
• Inflationary non-Gaussianities in the most general second-order scalar-tensor theories
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Dynamics of Logamediate Inflation
• Primordial non-Gaussianities in general modified gravitational models of inflation
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Planck constraints on single-field inflation
• Causality and the speed of sound
• Perturbation, Non-Gaussianity and Reheating in a GB-$\alpha$-Attractor Model
• Extended mimetic gravity: Hamiltonian analysis and gradient instabilities
• The two faces of mimetic Horndeski gravity: disformal transformations and Lagrange multiplier
• Dark matter as a ghost free conformal extension of Einstein theory
• Imperfect Dark Matter
• Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
• NEC violation in mimetic cosmology revisited
• Quantum modes in DBI inflation: exact solutions and constraints from vacuum selection
• On (in)stabilities of perturbations in mimetic models with higher derivatives
• From neutron stars to quark stars in mimetic gravity
• Some Aspects of Tachyon Field Cosmology
• Living with ghosts in Horava-Lifshitz gravity
• Priomordial non-Gaussian features from DBI Galileon inflation
• Healthy imperfect dark matter from effective theory of mimetic cosmological perturbations
• General Single Field Inflation with Large Positive Non-Gaussianity
• Hamiltonian Formulation of Mimetic Gravity
• Cosmological perturbations in mimetic Horndeski gravity
• Braneworld Mimetic Cosmology
• Modified Dust and the Small Scale Crisis in CDM
• Gauss-Bonnet Inflation after Planck2018
• Cosmological perturbations and stability of nonsingular cosmologies with limiting curvature
• $\alpha$-Attractor and Reheating in a Model with Non-Canonical Scalar Fields
• DBI inflation with a non-minimally coupled Gauss-Bonnet term
• Initial Conditions for Imperfect Dark Matter
• Higher order derivative coupling to gravity and its cosmological implications
• Intermediate inflation driven by DBI scalar field
• Mimetic $F(R)$ inflation confronted with Planck and BICEP2/Keck Array data
• On the phantom barrier crossing and the bounds on the speed of sound in non-minimal derivative coupling theories
• Observational constraints on tachyon and DBI inflation
• Many Faces of Mimetic Gravity
• Observational Viability of an Inflation Model with E-Model non-Minimal Derivative Coupling
• Large Non-Gaussianity in Non-Minimally Coupled Derivative Inflation with Gauss-Bonnet Correction
• New DBI Inflation model with Kinetic Coupling to Einstein Gravity
• DBI Galileon inflation in the light of Planck 2015
• Mimetic DBI Inflation in Confrontation with Planck2018 data
• Supersymmetry and Brane Cosmology
• Observational Status of Tachyon Natural Inflation and Reheating
• Tachyon Mimetic Inflation as an Instabilities-Free Model
• Some Aspects of the Tachyon Inflation with Superpotential in Confrontation with Planck2018 Data

Cited by in corpus (1)

• Observational Viability of the Intermediate DBI Inflation in the Presence of a Minimal Length