Spherically symmetric perfect fluid solutions in isotropic coordinates. (English) Zbl 0594.76126

Summary: A method of generating solutions of Einstein’s field equations for static fluid spheres is presented. This new method has a very clear advantage since it bypasses the direct resolutions of the field equations. One of the solutions obtained is then studied in some detail; it verifies an equation of state of the form \(p\simeq \alpha \rho +\beta \rho^{1+1/n}\).


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


[1] DOI: 10.1103/PhysRev.55.364 · Zbl 0020.28407
[2] DOI: 10.1103/PhysRev.55.413 · Zbl 0020.28502
[3] DOI: 10.1103/PhysRev.55.374 · Zbl 0020.28501
[4] Buchdahl H. A., Austral. J. Phys. 9 pp 13– (1956)
[5] DOI: 10.1063/1.523747
[6] DOI: 10.1088/0305-4470/15/6/018
[7] Bonnor W. B., Gen. Relativ. Gravit. 13 pp 29– (1981)
[8] DOI: 10.1103/PhysRevD.18.2745
[9] DOI: 10.1103/PhysRevD.27.1209
[10] DOI: 10.1103/PhysRev.70.396
[11] DOI: 10.1086/148055
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