Аннотации:
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 earlytime 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.