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.
Keywords
Cite
@article{arxiv.2107.05926,
title = {k-Gauss-Bonnet inflation},
author = {Tuyen M. Pham and Duy H. Nguyen and Tuan Q. Do},
journal= {arXiv preprint arXiv:2107.05926},
year = {2022}
}
Comments
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