Scalar tensor Horndeski models: simple cosmological applications

Abstract

In this paper, we analyze a simple class of Horndeski scalar-tensor theory. We investigate several cosmological solutions for inflation, bounce scenario and finite future-time singuarities. Perturbations respect to Friedmann-Robertson-Walker metric are studied and discussed in the context of inflation.

12 pages, finale version accepted in Astrophysics and Space Science

References in corpus (8)

• 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
• A quantitative analysis of singular inflation with scalar-tensor and modified gravity
• Bouncing Cosmologies

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• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Recovering a MOND-like acceleration law in mimetic gravity
• Boson stars in biscalar extensions of Horndeski gravity
• Axionic black branes in the k-essence sector of the Horndeski model
• Homogeneous Black Strings in Einstein-Gauss-Bonnet with Horndeski hair and beyond
• K-essence in Horndeski models
• $k$-essence non-minimally coupled with Gauss-Bonnet invariant for inflation
• Warm inflation in Horndeski gravity