k-Gauss-Bonnet inflation
arXiv:2107.05926
Abstract
We propose a novel {\it k}-Gauss-Bonnet inflationary model, in which a kinetic term of scalar field is allowed to non-minimally couple to the Gauss-Bonnet topological invariant in the absence of a potential of scalar field. As a result, this model is shown to admit an isotropic power-law inflation provided that the scalar field is phantom. Furthermore, stability analysis based on the dynamical system method is performed to indicate that this inflation solution is indeed stable and attractive. More interestingly, a gradient instability in tensor perturbations is shown to disappear in this model.
arXiv comment9 pages, single column, 2 figures. Updated version, in which many discussions along with relevant references are added. All calculations are not modified. Comments are welcome
References in corpus (27)
- k-Inflation
- Modified Gauss-Bonnet theory as gravitational alternative for dark energy
- Covariant Galileon
- Gauss-Bonnet dark energy
- Dilatonic Black Holes in Higher Curvature String Gravity
- Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
- Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling
- New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
- Ghost Inflation
- Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories
- G-inflation: inflation driven by the Galileon field
- Singularity-free cosmological solutions of the superstring effective action
- Rotating Black Holes in Dilatonic Einstein-Gauss-Bonnet Theory
- Charged black holes in effective string theory
- Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
- Slow-roll inflation with a Gauss-Bonnet correction
- Gauss-Bonnet Inflation
- Higher Curvature Corrections to Primordial Fluctuations in Slow-roll Inflation
- Power spectra from an inflaton coupled to the Gauss-Bonnet term
- Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices
- Comment on "Einstein-Gauss-Bonnet Gravity in 4-Dimensional Space-Time''
- Inflation driven by Einstein-Gauss-Bonnet gravity
- Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
- No-Go Theorem for Gauss-Bonnet Inflation without Inflaton Potential
- On the existence of singularity-free solutions in quartic gravity
- Early-time cosmological solutions in Einstein-scalar-Gauss-Bonnet theory
- -Inflation-corrected Einstein-Gauss-Bonnet Gravity with Massless Primordial Gravitons