Physical solutions to general-relativistic fluid spheres

Details Physical solutions to general-relativistic fluid spheres Physical solutions to general-relativistic fluid spheres

Dec 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...226.1079g&link_type=abstract

Astrophysical Journal, Part 1, vol. 226, Dec. 15, 1978, p. 1079-1086.

Physics

10

Einstein Equations, Field Theory (Physics), Fluid Mechanics, Matter (Physics), Relativity, Density Distribution, Equations Of State, Fluid Boundaries, Hydrodynamics, Pressure Distribution, Schwarzschild Metric, Spheres

Scientific paper

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.

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