Место издания:Nova Science Publishers, Inc NY, USA
Аннотация:Contemporary cosmological observation data strongly support that the present Universe exhibits an accelerated expansion providing thereby an evidence for a smoothly distributed dominating dark energy component with the state parameter close to minus one.
The cosmological observations do not exclude an evolving dark energy state parameter. Moreover, the recent analysis of the observation data indicates that the varying in time dark energy with the state parameter, which crosses the cosmological constant barrier, gives a better fit than the cosmological constant. Cosmological models with scalar fields are the most popular alternative to models with the cosmological constant.
A general class of gravitational models driven by a nonlocal scalar field with a linear or quadratic potential is considered. We study the action with an arbitrary analytic function of the d'Alembert operator, which can has simple and double roots. The Ostrogradski representation for nonlocal gravitational models and the way of localization of nonlocal Einstein equations have been proposed for the general relativity models and generalized on the f(R) gravity models. The way of localization allows to find particular solutions of
nonlocal equations of gravity. Exact solutions in the Friedmann-Robertson-Walker are presented.