Analytic first integrals for generalized Raychaudhuri equations

DOI10.1063/1.3651477zbMath1272.83018OpenAlexW2026740862MaRDI QIDQ2851742

Claudia Valls

Publication date: 2 October 2013

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

Full work available at URL: https://doi.org/10.1063/1.3651477

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Quantum field theory on curved space or space-time backgrounds (81T20) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (2)

On the complete integrability of the Raychaudhuri differential system in \(\mathbb {R}^4\) and of a CRNT model in \(\mathbb {R}^5\) ⋮ Dynamical Analysis of Raychaudhuri Equations Based on the Localization Method of Compact Invariant Sets

Cites Work

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• KINEMATICS OF FLOWS ON CURVED, DEFORMABLE MEDIA
• Determination of elementary first integrals of a generalized Raychaudhuri equation by the Darboux integrability method
• Local analytic integrability for nilpotent centers
• Symétrie et forme normale des centres et foyers dégénérés
• Darbouxian integrals for generalized Raychaudhuri equations
• Reduction of Singularities of the Differential Equation Ady = Bdx

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