On spherically symmetric shear-free perfect fluid configurations (neutral and charged). II. Equation of state and singularities

DOI10.1063/1.527992zbMath0704.76070OpenAlexW2002270241MaRDI QIDQ3484579

A. Roberto Sussman

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527992

zbMATH Keywords

singular boundariesfluid layersaccelerated timelike curvesgravitational collapse of bounded spheresReissner-Nordstrøom exterior

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (12)

On the Lagrangian form of the variational equations of Lagrangian dynamical systems ⋮ Thermodynamics of the Stephani Universes ⋮ On spherically symmetric shear-free perfect fluid configurations (neutral and charged). III. Global view ⋮ First integrals for charged perfect fluid distributions ⋮ What makes a shear-free spherical perfect fluid be inhomogeneous with tidal effects? ⋮ A class of cosmological models with spatially constant sign-changing curvature ⋮ Lagrangian description of the variational equations ⋮ A note on the uniqueness of the Wyman solution ⋮ Towards a physical interpretation for the Stephani universes ⋮ Spherically symmetric solutions admitting a spacelike self-similar motion ⋮ Radial conformal Killing vectors in spherically symmetric shear-free space-times ⋮ A fifth order differential equation for charged perfect fluids

Cites Work

• On the global geometry of the Stephani Universe
• Perfect fluid spheres in general relativity
• Singular space-times
• On the gravitational motion of a fluid obeying an equation of state
• Conformal structure of a Schwarzschild black hole immersed in a Friedman universe
• A class of homogeneous cosmological models
• Isotropic solutions of the Einstein-Boltzmann equations
• Topology of Collapse in Conformal Diagrams: The Reissner and Nordstrom Case
• Internal State of a Gravitating Gas
• On apparent horizons and the Schwarzschild surface for a uniform fluid sphere in general relativity
• Global aspects of shear-free perfect fluids in general relativity
• On spherically symmetric shear-free perfect fluid configurations (neutral and charged). I
• Some Properties of a Non-Static Uniform Density Sphere With Center Singularity

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