k-Essence Non-Minimally Coupled with Gauss–Bonnet Invariant for Inflation

2016/06/28 by Ratbay Myrzakulov, Lorenzo Sebastiani
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Formalism (music) #Inflation (cosmology) #Invariant (physics) #Noncommutative and Quantum Gravity Theories #Scalar (mathematics) #Scalar field #Slow roll #Spectral index #Spectral properties #gr-qc

paper · pdf · doi:10.3390/sym8070057

final version, accepted in Symmetry 14 pages

openalex created_date 2016/06/24 · arxiv created 2016/06/28 · openalex publication_date 2016/06/28 · arxiv updated 2017/03/29 · openalex updated_date 2026/08/05

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 a Friedmann–Robertson–Walker (FRW) universe and to derive the spectral index and the tensor-to-scalar ratio is furnished.

Citations

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