Static Axially Symmetric Sources of the Gravitational Field

Physics

Scientific paper

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Relativity And Gravitation, Black Holes, Physics Of Black Holes, Classical General Relativity

Scientific paper

The gamma metric, a static axially symmetric vacuum solution of Einstein field equations, is reviewed, the nature of its singularity and the shape of its sources are studied. This space-time is matched with an interior metric satisfying physically viable conditions. The model obtained, which can represent a dense astrophysical object, is used to investigate the boundary between black hole (i.e. Schwarzschild) and naked singularity as a function of the shape of the source.

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