New analytical models for anisotropic spheres in general relativity

DOI10.1063/1.527557zbMath0651.76052OpenAlexW2038694208MaRDI QIDQ3796920

J. Ponce De Leon

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527557

zbMATH Keywords

Einstein's field equationsexact analytical solutionsconstant density Schwarzschild interior solutionlow mass limitred shiftsstatic fluid spheres with anisotropic pressures

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

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Cites Work

• Fluid spheres in Einstein–Yukawa theory
• On apparent horizons and the Schwarzschild surface for a uniform fluid sphere in general relativity
• Equilibrium configurations of degenerate fluid spheres
• Static charged perfect fluid in a conformally flat spacetime
• Conformally flat static space–time in Brans–Dicke theory
• Some models of anisotropic spheres in general relativity
• On a Non-Static Fluid Sphere of Uniform Density in General Relativity