On spherically symmetric shear-free perfect fluid configurations (neutral and charged). I

DOI10.1063/1.527558zbMath0649.76069OpenAlexW2032836155MaRDI QIDQ3795432

Roberto A. Sussman

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527558

zbMATH Keywords

Jacobian elliptic functionsconformally flat solutions``charged Kustaanheimo-Qvist class of solutionscharged particular solutionsintegration of the equation of pressure isotropynonstatic, spherically symmetric, charged, shear-free perfect fluidsolutions expressible in terms of elementary functions

Mathematics Subject Classification ID

Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (8)

Shear-free relativistic fluids and the absence of movable branch points ⋮ On spherically symmetric shear-free perfect fluid configurations (neutral and charged). II. Equation of state and singularities ⋮ A first integral for a class of time-dependent anharmonic oscillators with multiple anharmonicities ⋮ Local properties and global structure of McVittie spacetimes with non-flat Friedmann–Lemaître–Robertson–Walker backgrounds ⋮ Nonstatic charged spheres admitting a conformal Killing vector ⋮ EVOLVING SPHERES OF SHEAR-FREE ANISOTROPIC FLUID ⋮ Radial conformal Killing vectors in spherically symmetric shear-free space-times ⋮ Charged sphere of shear-free fluids with \(\frac{\partial\rho}{\partial r} \leq 0\)

Cites Work

• Perfect fluid spheres in general relativity
• A review of the geometrical equivalence of metrics in general relativity
• Interacting with SHEEP
• On shear free normal flows of a perfect fluid
• A new interior solution of Einstein's field equations for a spherically symmetric perfect fluid in shear-free motion
• A class of shear-free perfect fluids in general relativity. I
• Global aspects of shear-free perfect fluids in general relativity
• Jeffery-Williams Lecture, 1976 Non-Static Radially Symmetric Distributions of Matter
• Some New Exact Models for the Outer Layers of a Non-Static Gas Sphere in General Relativity
• Some Properties of a Non-Static Uniform Density Sphere With Center Singularity
• Gravitational Bounce in General Relativity

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