Email this article Representation of Friedmann equation solution in form of generalized Dirichlet series
- Authors: Kuryanovich E.A1
-
Affiliations:
- Steklov Mathematical Institute, Russian Academy of Sciences
- Issue: Vol 17, No 2 (2013)
- Pages: 200-205
- Section: Articles
- URL: https://journal-vniispk.ru/1991-8615/article/view/20873
- ID: 20873
Cite item
Abstract
The cosmological Friedmann equation for the Universe, filled by scalar field with the quadratic potential, is reduced to the system of two first-order equations, one having the separable variables. The boundary-value problem with data at infinity is formulated for the second equation. The solution of this problem is represented in form of generalized Dirichlet series. The existence of classical solution in this form at the neighborhood of infinity is proved.
Full Text
##article.viewOnOriginalSite##About the authors
Eduard A Kuryanovich
Steklov Mathematical Institute, Russian Academy of Sciences
Email: kurianovich@mail.ru
Listener, Research and Education Center 8, Gubkina st., Moscow, 119991, Russia
References
- Mukhanov V. Physical foundations of cosmology. Cambridge: Cambridge University Press, 2005. xx+421 pp.
- Yurov A. V. Yurov V. A. Friedman versus Abel equations: A connection unraveled // J. Math. Phys., 2010. Vol. 51, no. 8, 082503. 17 pp., arXiv: 0809.1216 [hep-th].
- Леонтьев А. Ф. Представление функций обобщенными рядами Дирихле // УМН, 1969. Т. 24, № 2(146). С. 97–164.
Supplementary files
