General exact solutions of Einstein equations for static perfect fluids with spherical symmetry

DOI10.1063/1.527697zbMath0634.76131OpenAlexW2035155410MaRDI QIDQ3773653

Sonia Berger, Roberto Hojman, Jorge Santamarina

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527697

zbMATH Keywords

analytical solutiongravitational field equationsinterior Schwarzschild solutionsspherical symmetric perfect fluid

Mathematics Subject Classification ID

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

Related Items (14)

Vacuum-dual static perfect fluid obeying p=−(n−3)ρ/(n+1) in n(⩾4) dimensions ⋮ A new class of relativistic stellar models ⋮ Spherically symmetric solutions in higher dimensions ⋮ General exact solution for homogeneous time-dependent self-gravitating perfect fluids ⋮ A comment on an exact solution with a stiff equation of state ⋮ BUCHDAHL-LIKE TRANSFORMATIONS FOR PERFECT FLUID SPHERES ⋮ Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land ⋮ Anisotropic fluid distribution in higher dimensional general theory of relativity ⋮ Singularity-free static fluid spheres in general relativity ⋮ New perspectives on the TOV equilibrium from a dual null approach ⋮ Exact Solutions for Charged Sphere in Rosen’s Bimetric Theory of Gravitation ⋮ Spherically Symmetric Static Fluids in Rosen’s Bimetric Theory of Gravitation ⋮ Anisotropic spheres in general relativity ⋮ Spherically Symmetric Static Charged Anisotropic Fluid in Rosen's Bimetric Theory of Gravitation

Cites Work

• Plane symmetric self-gravitating fluids with pressure equal to energy density
• Static Solutions of Einstein's Field Equations for Spheres of Fluid

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