Generalized Non-Minimal Derivative Coupling: Application to Inflation and Primordial Black Hole Production

Abstract

We introduce inflationary models where the inflaton features a field dependent non-minimal derivative coupling to the Einstein tensor, that we name GNMDC. This Horndeski term gives new and distinguishable inflationary predictions in a framework that ameliorates possible problems related with gradient instabilities during the reheating stage. We examine the inflationary phenomenology using power law monomial and exponential potentials. We further elaborate on the implications of the inflaton-modulated GNMDC and construct GNMDC terms that can amplify the power spectrum of primordial perturbations at small scales, triggering PBH production. An attractive feature of the GNMDC is that inflation, as well as PBH production, can be implemented utilizing the Higgs potential.

arXiv comment27 pages, 21 figures, plain text. Comments, figures and numerical results added. Journal version

References in corpus (72)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• The galileon as a local modification of gravity
• Hybrid Inflation
• Generalized G-inflation: Inflation with the most general second-order field equations
• From k-essence to generalised Galileons
• Primordial Black Holes as Dark Matter
• Covariant Galileon
• Dark Energy after GW170817: dead ends and the road ahead
• Universe Reheating after Inflation
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• Dark Energy after GW170817 and GRB170817A
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Primordial Black Holes
• Horndeski theory and beyond: a review
• Primordial black holes from single field models of inflation
• Primordial black hole constraints for extended mass functions
• Gravitational Waves Induced by non-Gaussian Scalar Perturbations
• Threshold of primordial black hole formation
• New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity
• Horizon crossing and inflation with large η
• Black Hole Relics and Inflation: Limits on Blue Perturbation Spectra
• Formation and Evolution of Primordial Black Hole Binaries in the Early Universe
• Primordial Black Holes and Slow-Roll Violation
• Exact cosmological solutions with nonminimal derivative coupling
• Scalaron from $R^2$-gravity as a Heavy Field
• Black holes with non-minimal derivative coupling
• Cosmology with Nonminimal Derivative Couplings
• Gravitational Wave signatures of inflationary models from Primordial Black Hole Dark Matter
• The abundance of primordial black holes depends on the shape of the inflationary power spectrum
• Calculating the mass spectrum of primordial black holes
• The Powers of Monodromy
• Testing Primordial Black Holes as Dark Matter through LISA
• Primordial Black Hole Formation in a Double Inflation Model in Supergravity
• Signatures of primordial black hole dark matter
• Primordial Black Holes from $\alpha$-attractors
• Primordial Black Holes from Sound Speed Resonance during Inflation
• Higgs G-inflation
• Gravitational Particle Production in Oscillating Background and Its Cosmological Implications
• Primordial Black Holes from Inflation with Nonminimal Derivative Coupling
• Leading singularities and off-shell conformal integrals
• Single-field inflation, anomalous enhancement of superhorizon fluctuations, and non-Gaussianity in primordial black hole formation
• Observational tests of inflation with a field derivative coupling to gravity
• When Primordial Black Holes from Sound Speed Resonance Meet a Stochastic Background of Gravitational Waves
• Primordial black holes from sound speed resonance in the inflaton-curvaton mixed scenario
• Black hole formation from a general quadratic action for inflationary primordial fluctuations
• Scalar Hair from a Derivative Coupling of a Scalar Field to the Einstein Tensor
• UV-protected (Natural) Inflation: Primordial Fluctuations and non-Gaussian Features
• Constraints on scalar-tensor theory of gravity by the recent observational results on gravitational waves
• PBH remnants as dark matter produced in thermal, matter and runaway-quintessence post-inflationary scenarios
• Reheating in nonminimal derivative coupling model
• Production of high stellar-mass primordial black holes in trapped inflation
• Accuracy of slow-roll formulae for inflationary perturbations: implications for primordial black hole formation
• Phase Transition to a Hairy Black Hole in Asymptotically Flat Spacetime
• Gravitational Particle Production in Gravity Theories with Non-minimal Derivative Couplings
• The Imaginary Starobinsky Model and Higher Curvature Corrections
• Non-minimal derivative coupling gravity in cosmology
• Particle Production after Inflation with Non-minimal Derivative Coupling to Gravity
• Self-unitarization of New Higgs Inflation and compatibility with Planck and BICEP2 data
• Constraints on the curvature power spectrum from primordial black hole evaporation
• On Ghost-free Supersymmetric Galileons
• Reheating predictions in Gravity Theories with Derivative Coupling
• A New Class of Four-Dimensional N=1 Supergravity with Non-minimal Derivative Couplings
• Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(N=2,3)
• Exponential potential for an inflaton with nonminimal kinetic coupling and its supergravity embedding
• Higher Derivative D-term Inflation in New-minimal Supergravity
• A new phase of scalar field with a kinetic term non-minimally coupled to gravity
• Gravitational Collapse of a Homogeneous Scalar Field Coupled Kinematically to Einstein Tensor
• Inflaton decay and reheating in nonminimal derivative coupling
• On post-inflation validity of perturbation theory in Horndeski scalar-tensor models

Cited by in corpus (49)

• Gravitational Waves Induced by Scalar Perturbations with a Lognormal Peak
• Primordial black holes and secondary gravitational waves from k/G inflation
• The Gravitational-Wave Physics II: Progress
• Primordial black holes and secondary gravitational waves from inflationary model with a non-canonical kinetic term
• Scalar induced gravitational waves in light of Pulsar Timing Array data
• Constraints on primordial curvature power spectrum with pulsar timing arrays
• Palatini-Higgs inflation with non-minimal derivative coupling
• Primordial black holes and secondary gravitational waves from natural inflation
• Primordial Black Hole Formation in Starobinsky's Linear Potential Model
• Primordial Black Hole Formation in Non-Minimal Curvaton Scenario
• Primordial black holes and secondary gravitational waves from the Higgs field
• Spectrum oscillations from features in the potential of single-field inflation
• Primordial black holes and induced gravitational waves in $k$-inflation
• Double-peaked inflation model: Scalar induced gravitational waves and primordial-black-hole suppression from primordial non-Gaussianity
• Primordial black holes in nonminimal derivative coupling inflation with quartic potential and reheating consideration
• Constraints on primordial curvature spectrum from primordial black holes and scalar-induced gravitational waves
• Non-Gaussianity and Secondary Gravitational Waves from Primordial Black Holes Production in $\alpha$-attractor Inflation
• Model-independent reconstruction of the primordial curvature power spectrum from PTA data
• Exploring the Spectral Shape of Gravitational Waves Induced by Primordial Scalar Perturbations and Connection with the Primordial Black Hole Scenarios
• Primordial black holes and scalar-induced gravitational waves from the generalized Brans-Dicke theory
• Primordial black holes formation in the inflationary model with field-dependent kinetic term for quartic and natural potentials
• Primordial black holes and secondary gravitational waves from chaotic inflation
• Implications of Palatini gravity for inflation and beyond
• Primordial black holes and secondary gravitational waves from string inspired general no-scale supergravity
• Primordial black holes ensued from exponential potential and coupling parameter in nonminimal derivative inflation model
• NANOGrav signal and LIGO-Virgo Primordial Black Holes from the Higgs field
• Primordial black holes in non-canonical scalar field inflation driven by quartic potential in the presence of bump
• Primordial black holes and secondary gravitational waves from generalized power-law non-canonical inflation with quartic potential
• Mechanism of primordial black holes production and secondary gravitational waves in $\alpha$-attractor Galileon inflationary scenario
• Primordial Non-Gaussianity from G-inflation
• Primordial black holes formation and secondary gravitational waves in nonminimal derivative coupling inflation
• Successful Higgs inflation from combined nonminimal and derivative couplings
• Stability of black holes with non-minimally coupled scalar hair to the Einstein tensor
• Primordial black holes from Higgs inflation with a Gauss-Bonnet coupling
• The primordial black hole from running curvaton
• Inflation and reheating in quadratic metric-affine gravity with derivative couplings
• Growth of power spectrum due to decrease of sound speed during inflation
• Primordial non-Guassianity in inflation with gravitationally enhanced friction
• Primordial black holes in non-minimal Gauss-Bonnet inflation in light of the PTA data
• General Einstein-Cartan quadratic gravity with derivative couplings
• Fundamental Physics and Cosmology with TianQin
• Understanding large scale CMB anomalies with the generalized non-minimal derivative coupling during inflation
• Primordial black holes and scalar-induced gravitational waves from the polynomial attractor model
• Probing the equation of state of neutron stars with captured primordial black holes
• Primordial non-Gaussianity in noncanonical warm inflation with nonminimal derivative coupling
• Primordial black holes and scalar induced gravitational waves from sound speed resonance in non-minimal derivative coupling inflation model
• Intermediate inflation in generalized non-minimal derivative coupling model
• Development of generic no-scale inflation
• Dynamics of potential-free warm $\mathbf{k}$-inflation with nonminimal derivative coupling