Application of the Abel equation of the 1st kind to inflation analysis of non-exactly solvable cosmological models
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Publication:280814
DOI10.1134/S0202289314020121zbMath1338.83232arXiv1302.6017OpenAlexW2069582844MaRDI QIDQ280814
Artyom V. Yurov, Valerian A. Yurov, Anna V. Yaparova
Publication date: 10 May 2016
Published in: Gravitation \& Cosmology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.6017
Relativistic cosmology (83F05) Exact solutions to problems in general relativity and gravitational theory (83C15) Computational methods for problems pertaining to relativity and gravitational theory (83-08)
Related Items (7)
Periodic solutions of Abel equations with jumps ⋮ The KdV in cosmology: a useful tool or a distraction? ⋮ Singular expansions and collocation methods for generalized Abel integral equations ⋮ What can the anthropic principle tell us about the future of the dark energy universe ⋮ On the Number of Limit Cycles in Generalized Abel Equations ⋮ Quasi-Lie families, schemes, invariants and their applications to Abel equations ⋮ On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones
Cites Work
- Comparative analysis of approximate and exact models in inflationary cosmology
- Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
- A new type of isotropic cosmological models without singularity
- The Darboux transformation and exactly solvable cosmological models
- Exact inflationary cosmologies with exit: from an inflaton complex field to an `anti-inflaton' one
- Dark Energy
- Friedman versus Abel equations: A connection unraveled
- Inflationary universe: A possible solution to the horizon and flatness problems
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