A new approach to the solution of the axisymmetric stationary GR's equations.

Astronomy and Astrophysics – Astronomy

Scientific paper

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General Relativity

Scientific paper

It is shown that the GR equations describing the axisymmetric stationary fields can be essentially simplified if one chooses at the coordinates two of the metric coefficients and makes a transfer to the comoving frame. The field equations for the internal region of the rotating object are given, the matter state of which is described by one-parametric equation. The vacuum solution has been found which in the absence of rotation is reduced to the Schwarzschild solution and for the next special case to the NUT solution. It is shown that for the static case and for the incompressible fluid the solution of this problem is similar to the internal Schwarzschild solution.

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