$k$-essence non-minimally coupled with Gauss-Bonnet invariant for inflation

Abstract

In this paper, we investigated inflationary solutions for a subclass of Horndeski models where a scalar field is non-minimally coupled with the Gauss-Bonnet invariant. Examples of canonical scalar field and $k$-essence to support the early-time acceleration are considered. The formalism to calculate the perturbations in FRW universe and to derive the spectral index and the tensor-to-scalar ratio is furnished.

final version, accepted in Symmetry 14 pages

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Cited by in corpus (3)

• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Geodesic structure of generalized Vaidya spacetime through the K-essence
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity