Complete Solution of the Ernst Eequation in a Stationary and Axially Symmetric Gravitational Field Due to a Rotating Source

Physics

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Scientific paper

We present a systematic and analytic solution of the Ernst equation in stationary and axially symmetric gravitational fields due to a rotating deformed source. This solution is transformed by means of an analytic continuation so as to be valid for any type and magnitude of deformation of the source and for any velocity of the rotation. It is clarified how an infinite redshift surface is developed as functions of the magnitude of deformation and the velocity of rotation.

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