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....
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 ...
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 ...
ΛCDM-model with δ-function
We study a dynamic model of a scalar field, the evolution of which leads to SFS-singularities. To estimate the characteristic SFS arrival time, we introduce a simplified model with the δ-function and use the weak anthropic principle. It is shown that our model predicts a rather soon appearance ...