Expanding spherically symmetric models without shear

DOI10.1007/BF02106852zbMath0848.35134arXivgr-qc/9511071OpenAlexW1988371492WikidataQ63390719 ScholiaQ63390719MaRDI QIDQ1911053

Sunil D. Maharaj, Peter G. L. Leach, Roy Maartens

Publication date: 24 October 1996

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9511071

zbMATH Keywords

integrability conditionPainlevé analysisLie analysisintegrability properties of the field equationnew class of solutionsspherically symmetric shear-free fluid

Mathematics Subject Classification ID

Relativistic cosmology (83F05) PDEs in connection with relativity and gravitational theory (35Q75) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (10)

Shear-free relativistic fluids and the absence of movable branch points ⋮ First integrals for charged perfect fluid distributions ⋮ What makes a shear-free spherical perfect fluid be inhomogeneous with tidal effects? ⋮ Hidden and not so hidden symmetries ⋮ Fast computation of complete elliptic integrals and Jacobian elliptic functions ⋮ Exact solution of the Einstein-Skyrme model in a Kantowski-Sachs spacetime ⋮ EVOLVING SPHERES OF SHEAR-FREE ANISOTROPIC FLUID ⋮ A note on some general solutions of the Einstein field equations in a spherically symmetric world ⋮ A fifth order differential equation for charged perfect fluids ⋮ Charged sphere of shear-free fluids with \(\frac{\partial\rho}{\partial r} \leq 0\)

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
• Radial conformal Killing vectors in spherically symmetric shear-free space-times
• A new interior solution of Einstein's field equations for a spherically symmetric perfect fluid in shear-free motion
• Conformally symmetric static fluid spheres
• Exact solutions for shear-free motion of spherically symmetric perfect fluid distributions in general relativity
• An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity
• Jeffery-Williams Lecture, 1976 Non-Static Radially Symmetric Distributions of Matter

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