The type and structure of time-like singularities in the general theory of relativity - From the gamma-metric to a general solution

Astronomy and Astrophysics – Astronomy

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Astronomical Models, Gravitational Fields, Relativity, Singularity (Mathematics), Black Holes (Astronomy), Linear Systems, Metric Space, Point Sources

Scientific paper

A method is proposed to determine whether a time-like singularity in general relativity theory refers to a point or to a linear gravitational field singularity. It is shown that the source of a time-like singularity in general relativity theory may not have any analogs in finite curvature space. The form of the solution for a simple linear source is given, as well as a series of generalized anisotropic solutions. The space-time described by the gamma-metric is examined, and the form of the metric near the ends of a Wyl singularity is found.

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