On integrability of the Szekeres system. I

DOI10.1080/14029251.2016.1237199zbMath1420.37039OpenAlexW2519723723MaRDI QIDQ5231042

Anna Gierzkiewicz, Zdzisław A. Golda

Publication date: 29 August 2019

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

Full work available at URL: https://doi.org/10.1080/14029251.2016.1237199

zbMATH Keywords

first integralPoincaré compactificationDarboux polynomialJacobi last multiplierSzekeres system

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Exact solutions to problems in general relativity and gravitational theory (83C15) Celestial mechanics (70F15)

Related Items (8)

On the dynamics of the Szekeres system ⋮ A complete set of integrals and solutions to the Szekeres system ⋮ Quantization of the Szekeres system ⋮ Relativistic numerical cosmology with silent universes ⋮ Quantization of inhomogeneous spacetimes with cosmological constant term ⋮ Conservation laws and exact solutions in Brans-Dicke cosmology with a scalar field ⋮ Dynamics of the Szekeres system ⋮ Static spherically symmetric Einstein-æther models. II: Integrability and the modified Tolman-Oppenheimer-Volkoff approach

Cites Work

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• A class of inhomogeneous cosmological models
• A novel approach to the dynamics of Szekeres dust models
• Structures in the Universe by Exact Methods
• Darboux integrability of a generalized Friedmann-Robertson-Walker Hamiltonian system
• Necessary condition for the existence of algebraic first integrals
• Necessary condition for the existence of algebraic first integrals

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