1987•Journal of Mathematical PhysicsOpen access

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

Sônia Maria Dantas Berger, R. Hojman, Jorge Santamarina

Abstract

The gravitational field equations for a spherical symmetric perfect fluid are completely solved. The general analytical solution obtained depends on an arbitrary function of the radial coordinate. As illustrations of the proposed procedure the exterior and interior Schwarzschild solutions are regained.

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Key concepts: Circular symmetry, Schwarzschild metric, Einstein field equations, Deriving the Schwarzschild solution, Perfect fluid, Gravitational field, Classical mechanics, Schwarzschild radius