2000/12/01 by Spiros Cotsakis, Cotsakis, Spiros, John Miritzis +1
Mathematics · Physics and Astronomy · #Algebraic number #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Dimension (graph theory) #Dynamical systems theory #FOS: Physical sciences #Friedmann–Lemaître–Robertson–Walker metric #General Relativity and Quantum Cosmology (gr-qc) #General relativity #Geometry #Isotropy #Laurent series #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #String theory #Theoretical physics #Universe #Variety (cybernetics) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0012001
published in arXiv (Cornell University) (Cornell University) · Research announcement, 2 pages, submitted for publication in the MG9 Proceedings
arxiv created 2000/12/01 · openalex publication_date 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
For dynamical systems of dimension three or more the question of integrability or nonintegrability is extended by the possibility of chaotic behaviour in the general solution. We determine the integrability of isotropic cosmological models in general relativity and string theory with a variety of matter terms, by a performance of the Painlevé analysis in an effort to examine whether or not there exists a Laurent expansion of the solution about a movable pole which contains the number of arbitrary constants necessary for a general solution.