k-Gauss-Bonnet inflation

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.

9 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 (7)

• Covariant Galileon
• G-inflation: inflation driven by the Galileon field
• Rotating Black Holes in Dilatonic Einstein-Gauss-Bonnet Theory
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
• $k$-Inflation-corrected Einstein-Gauss-Bonnet Gravity with Massless Primordial Gravitons

Cited by in corpus (2)

• Beyond $f(\varphi )\mathcal{G}$: Gauss--Bonnet inflation with $\mu (\varphi ,X)$
• Anisotropic constant-roll k-inflation model