Results: **5**

#### The Abel equation and cosmological **scalar** **field** zeroes

This article presents a new simple analytical method that makes it possi-ble to design solutions in describing the dynamics of the universe near the ze-roes of the **scalar** **field** potential.
1. Yurov V. А. An application of Abel’s equation of first kind to the search of solutions of Friedman’s equations // Вестник РГУ им. И. Канта. 2010. Т. 4. С. 43—47.
2. Yurov A. V., Yurov V. A. Friedman vs....

#### The dynamics of chiral cosmological **fields** in the canonical phantom model

... latest results of space and ground-based mission WMAP, Planck, BICEP2 discussed widely by the scientific community and indicate the need for research on new models of inflation, other than the basic model of inflation, based on a single self-interacting **scalar** **field**. In this paper we consider the inflationary model based on chiral cosmological model, which takes into account the various forms of kinetic interaction between the phantom and the canonical **field**. This study determines the dynamics and interaction ...

#### New classes of exact solutions and consistent models of cosmological evolution

... классы точных решений в инфляционной космологии // Журнал экспериментальной и теоретической физики. 1998. Т. 114, вып. 2. С. 406—417.
2. Yurov A. V. Phantom **Scalar** **Fields** Result in Inflation Rather Than Big Rip // Eur. Phys. J. Plus. 2011. Vol. 126, iss. 12. 132.
3. Верещагин С. Д., Юров А. В. Преобразование Дарбу и точно решаемые космологические ...

#### An application of the Abel equation of first type to the task of solving the Friedman equations

An interesting connection between Einstein-Friedmann equations for the models of universe filled with **scalar** **field** and the special form of Abel equation of the first kind is presented. In particular, it is shown how, knowing the general solution of the Abel equation (corresponding to the given **scalar** **field** potential) one can obtain the general solution of the ...

#### When to expect the unexpected singularities: the anthropic principle and the dark energy universe

... magnitude of the vacuum energy. According to Garriga and Vilenkin, this component should decrease slowly, leading to a change in the accelerated expansion regime to the collapse phase, but not earlier than in a trillion years. However, a decreasing **scalar** **field** can lead to unexpected singularities with a finite value of the scale factor. We analyze this situation using the example of SFS and get an unexpected result: the time of appearance of such features of the same order as the lifetime of the observed ...