K-essence in Horndeski models

Abstract

In this paper, we investigate a simple class of Horndeski models where the scalar field plays the role of a k-essence fluid. We present several solutions for early-time universe, namely inflation and cosmological bounce, by making use of some reconstruction technique. Moreover, we furnish the formalism to calculate perturbations in FRW space-time and we compute the spectral index and the tensor-to-scalar ratio during inflation.

final version, accepted in Astrophys.Space Sci., 14 pages

References in corpus (6)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Inflationary Cosmology
• Inflationary cosmology in modified gravity theories
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Higgs G-inflation

Cited by in corpus (3)

• Cosmological bouncing scenarios in symmetric teleparallel gravity
• Axionic black branes in the k-essence sector of the Horndeski model
• $k$-essence non-minimally coupled with Gauss-Bonnet invariant for inflation