Integrability analysis of a conformal equation in relativity

DOI10.1007/BF00674958zbMath0823.34008OpenAlexW1968221519MaRDI QIDQ1894592

Sunil D. Maharaj, Peter G. L. Leach, Keshlan S. Govinder

Publication date: 3 August 1995

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00674958

zbMATH Keywords

Emden-Fowler equationpseudo- partial Painlevé propertyshear-free, spherically symmetric perfect fluid spacetimes

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (8)

Lie symmetries for a conformally flat radiating star ⋮ Geodesic models generated by Lie symmetries ⋮ Generalized Euclidean stars with equation of state ⋮ Relativistic shear-free fluids with symmetry ⋮ Symmetry transformations for the generalized Lane-Emden equation ⋮ Integrability analysis of the Emden-Fowler equation ⋮ Oscillation for a second-order neutral differential equation with impulses ⋮ Noether's theorem and symmetry

Uses Software

• LIE

Cites Work

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• A class of spherically symmetric solutions with conformal Killing vectors
• Shear-free spherically symmetric solutions with conformal symmetry
• Self-similar solutions of the generalized Emden-Fowler equation
• Solution of generalized Emden-Fowler equations with two symmetries
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Jeffery-Williams Lecture, 1976 Non-Static Radially Symmetric Distributions of Matter
• Painleve analysis of the mixmaster universe
• LIE, a PC program for Lie analysis of differential equations

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