The Abel equation and cosmological scalar field zeroes
... 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. Abel: A connection unraveled // Journal of Mathematical Physics. 2010. Vol. 51. P. 082503: 1—17.
3. Yurov A. V., Yaparova A....
Generation of exact solutions of Fridman equations leading to Cardy–Verlinde formula by Darboux transformation
It is considered a possibility of generation of exact solutions for Friedman equations by Darboux transformation, for which Cardy — Verlinde formula is valid. Two modifications of Darboux transformation are offered, which let generate such solutions. Exact solutions are obtained, for which Cardy — Verlinde formula is valid ...
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 ...
New classes of exact solutions and consistent models of cosmological evolution
... Quintessence in String Theory // Fortsch. Phys. 2018. Vol. 66. 1800079.
34. David Marsh M. C. The Swampland, Quintessence and the Vacuum Energy // Phys. Lett. B. 2019. Vol. 789. P. 639—642.
Astashenok, A. V., Yurov, A. V., Yaparova, A. V.
Einstein — Friedman equations, scalar field, Darboux transformation
Security in the Baltic region as a Projection of Global Confrontation between Russia and the USA
... States, — being a projection of their global geopolitical confrontation. The US strategy thus becomes a major part of the equation. The authors believe that since the end of the second Iraq war the American elite has been divided along ideological ... ... House, 05 December 2016, availablr at:
24. Friedman G., «Europe: Destined for Conflict?», 2016, Global Affairs Press, May 23, available at: