Particle Production after Inflation with Non-minimal Derivative Coupling to Gravity

Abstract

We study cosmological evolution after inflation in models with non-minimal derivative coupling to gravity. The background dynamics is solved and particle production associated with rapidly oscillating Hubble parameter is studied in detail. In addition, production of gravitons through the non-minimal derivative coupling with the inflaton is studied. We also find that the sound speed squared of the scalar perturbation oscillates between positive and negative values when the non-minimal derivative coupling dominates over the minimal kinetic term. This may lead to an instability of this model. We point out that the particle production rates are the same as those in the Einstein gravity with the minimal kinetic term, if we require the sound speed squared is positive definite.

25 pages

References in corpus (12)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The Standard Model Higgs boson as the inflaton
• Higgs inflation: consistency and generalisations
• Running Kinetic Inflation
• Gravitational Effects on Inflaton Decay
• Potential-driven Galileon inflation
• Higgs Chaotic Inflation in Standard Model and NMSSM
• Reheating of the universe after inflation with f(phi)R gravity
• Self-unitarization of New Higgs Inflation and compatibility with Planck and BICEP2 data
• Multi-field formulation of gravitational particle production after inflation
• Non-perturbative Corrections to Particle Production from Coherent Oscillation

Cited by in corpus (29)

• Gravitational Particle Production in Oscillating Background and Its Cosmological Implications
• Violent Preheating in Inflation with Nonminimal Coupling
• Selected topics in scalar-tensor theories and beyond
• Scalar induced gravitational waves in inflation with gravitationally enhanced friction
• Palatini-Higgs inflation with non-minimal derivative coupling
• Generalized Non-Minimal Derivative Coupling: Application to Inflation and Primordial Black Hole Production
• To conserve, or not to conserve: A review of nonconservative theories of gravity
• Gravitino Problem in Minimal Supergravity Inflation
• Unitarity and predictiveness in new Higgs inflation
• Reheating predictions in Gravity Theories with Derivative Coupling
• Slow-roll inflation in $f(R,T)$ gravity with a $RT$ mixing term
• On the phantom barrier crossing and the bounds on the speed of sound in non-minimal derivative coupling theories
• Successful Higgs inflation from combined nonminimal and derivative couplings
• Preheating from target space curvature and unitarity violation: Analysis in field space
• PPN parameters in gravitational theory with nonminimally derivative coupling
• Inflation and reheating in quadratic metric-affine gravity with derivative couplings
• Chiral gravitational waves and primordial black holes in UV-protected Natural Inflation
• Stability of Hybrid Higgs Inflation
• $\alpha$-Attractors and Reheating in a Non-Minimal Inflationary Model
• Inflaton decay and reheating in nonminimal derivative coupling
• Reheating mechanism of Curvaton with Nonminimal Derivative Coupling to Gravity
• General Einstein-Cartan quadratic gravity with derivative couplings
• Understanding large scale CMB anomalies with the generalized non-minimal derivative coupling during inflation
• Ricci curvature non-minimal derivative coupling cosmology with field re-scaling
• Thermodynamics of general scalar-tensor theory with non-minimally derivative coupling
• Dynamics of holographic dark energy with apparent-horizon cutoff and non-minimal derivative coupling gravity in non-flat FLRW universe
• Cosmology in holographic non-minimal derivative coupling theory: constraints from inflation and variation of gravitational constant
• Noether symmetry approach in non-minimal derivative coupling gravity
• Derivative coupling of inflaton to $R^{(3)}$