Gravitating fluids with Lie symmetries

DOI10.1088/1751-8113/43/28/285203zbMath1196.83022arXiv1006.4809OpenAlexW3099954266MaRDI QIDQ3579956

A. M. Msomi, Sunil D. Maharaj, Keshlan S. Govinder

Publication date: 11 August 2010

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

Full work available at URL: https://arxiv.org/abs/1006.4809

zbMATH Keywords

exact solutionsEinstein's equationsCauchy problemscanonical formalismgroups of motionsgeneral structureLie algebras of Lie groupsgravitational energy and conservation lawsmanifolds of metrics (esp. Riemannian)algebraic theory of Lie algebras

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Exact solutions to problems in general relativity and gravitational theory (83C15) Lie algebras of linear algebraic groups (17B45)

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Analysis of modified Painlevé-Ince equations ⋮ Lie symmetries for a conformally flat radiating star ⋮ Radiating stars with exponential Lie symmetries ⋮ pp-wave potential functions: A complete study using Noether symmetries ⋮ Classification of the Lie and Noether point symmetries for the wave and the Klein-Gordon equations in pp-wave spacetimes ⋮ Analysis of the boundary condition and equation of state in radiating stars ⋮ Geodesic models generated by Lie symmetries ⋮ Generalized Euclidean stars with equation of state ⋮ The influence of an equation-of-state during radiative collapse

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