Gauss-Bonnet inflation with a constant rate of roll

Abstract

We consider the constant-roll condition in the model of the inflaton nonminimal coupling to the Gauss-Bonnet term. By assuming the first Gauss-Bonnet flow parameter ${\delta }_1$ is a constant, we discuss the constant-roll inflation with constant ${\epsilon }_1$, constant ${\epsilon }_2$ and constant ${\eta }_H$, respectively. Using the Bessel function approximation, we get the analytical expressions for the scalar and tensor power spectrum and derive the scalar spectral index $n_{\mathcal{R}}$ and the tensor to scalar ratio $r$ to the first order of ${\epsilon }_1$. By using the Planck 2018 observations constraint on $n_{\mathcal{R}}$ and $r$, we obtain some feasible parameter space and show the result on the $n_{\mathcal{R}}-r$ region. The scalar potential is also reconstructed in some spectral cases.

References in corpus (34)

• Gauss-Bonnet dark energy
• Horizon crossing and inflation with large η
• Towards a non-singular pre-big bang cosmology
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Swampland Implications of GW170817-compatible Einstein-Gauss-Bonnet Gravity
• Improved Estimates of Cosmological Perturbations
• Slow-roll inflation with a Gauss-Bonnet correction
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices
• Inflation coupled to a Gauss-Bonnet term
• $f(R)$ constant-roll inflation
• Constant-roll Inflation in $F(R)$ Gravity
• Accelerating Cosmologies in the Einstein-Gauss-Bonnet Theory with Dilaton
• Inflation with Gauss-Bonnet coupling
• On the constant-roll inflation
• Constant roll and primordial black holes
• Systematics of Constant Roll Inflation
• Inflationary Dynamics with a Smooth Slow-Roll to Constant-Roll Era Transition
• Constant-roll inflation in scalar-tensor gravity
• Constant-roll tachyon inflation and observational constraints
• Higgs Inflation with a Gauss-Bonnet term in the Jordan Frame
• Stability analysis of de Sitter solutions in models with the Gauss-Bonnet term
• Generalization of cosmological attractor approach to Einstein-Gauss-Bonnet gravity
• Constant-roll in the Palatini-$R^2$ models
• Reconstruction of constant slow-roll inflation
• Brane Constant-roll Inflation
• Low Scale Higgs Inflation with Gauss-Bonnet Coupling
• Constant-roll $k$-Inflation Dynamics
• The observational constraint on constant-roll inflation
• Slow-Roll Inflation in Scalar-Tensor Models
• Unification of inflation and dark matter in the Higgs-Starobinsky model
• Observational constrains on the DGP brane-world model with a Gauss-Bonnet term in the bulk
• Two-field constant roll inflation
• Constant-roll inflation driven by a scalar field with non-minimal derivative coupling

Cited by in corpus (7)

• Construction of inflationary scenarios with the Gauss-Bonnet term and nonminimal coupling
• Cosmic evolution of the logarithmic f(R) model and the dS swampland conjecture
• Primordial black holes in scalar field inflation coupled to the Gauss-Bonnet term with fractional power-law potentials
• Anisotropic constant-roll inflation for the Dirac-Born-Infeld model
• Primordial black holes in non-minimal Gauss-Bonnet inflation in light of the PTA data
• Primordial black holes in SB SUSY Gauss-Bonnet inflation
• Anisotropic constant-roll k-inflation model