Abstract
view Abstract Citations (29) References (5) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Physical solutions to general-relativistic fluid spheres. Goldman, S. P. Abstract A method is developed to find physically valid analytic solutions to the Einstein field equations for a static, spherically symmetric distribution of matter. A generating function can be chosen that satisfies physical constraints, and the metric is obtained by quadratures. Three physically valid solutions within the distribution of matter are given as examples. For one of these solutions it is shown that Schwarzschild's interior solution may be obtained as a special case, but only for a specific choice of a parameter which is prohibited by the physical constraints. Publication: The Astrophysical Journal Pub Date: December 1978 DOI: 10.1086/156684 Bibcode: 1978ApJ...226.1079G Keywords: Einstein Equations; Field Theory (Physics); Fluid Mechanics; Matter (Physics); Relativity; Density Distribution; Equations Of State; Fluid Boundaries; Hydrodynamics; Pressure Distribution; Schwarzschild Metric; Spheres; Astrophysics; Hydrodynamics:Relativistic Stars full text sources ADS |
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