Friedman versus Abel equations: A connection unraveled

DOI10.1063/1.3460856zbMath1312.83012arXiv0809.1216OpenAlexW2006408545MaRDI QIDQ5253697

Artyom V. Yurov, Valerian A. Yurov

Publication date: 27 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.1216

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (11)

Application of the Abel equation of the 1st kind to inflation analysis of non-exactly solvable cosmological models ⋮ Total energy potential as a superpotential in integrable cosmological models ⋮ Periodic solutions of Abel equations with jumps ⋮ Exact solutions of Friedmann equation ⋮ The KdV in cosmology: a useful tool or a distraction? ⋮ Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations ⋮ Exact and approximate solutions in the Friedmann cosmology ⋮ A geometric approach to integrability of Abel differential equations ⋮ A new look at the Schrödinger equation in exact scalar field cosmology ⋮ Exact solutions of the Cauchy problem for the Friedman equation ⋮ Представление решения уравнения Фридмана обобщeнным рядом Дирихле

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New ``bigs in cosmology
• The Darboux transformation and exactly solvable cosmological models
• Exact inflationary cosmologies with exit: from an inflaton complex field to an `anti-inflaton' one
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
• New inflation from old
• ASSOCIATED STURM-LIOUVILLE SYSTEMS

This page was built for publication: Friedman versus Abel equations: A connection unraveled