The problem of stationary gravitational fields is still far from solved, since there is no exact general solution of the Einstein equations for stationary gravitational fields. This paper examines an approach to this problem employing isotropic coordinates which, in particular, make it possible to understand which simplifications yield the Kerr solution.
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Translated from Astrofizika, Vol. 58, No. 3, pp. 431-438 (August 2015).
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Avagyan, R.M., Harutyunyan, G.H. & Sushkov, S.V. Some Properties of Stationary Gravitational Fields. Astrophysics 58, 397–405 (2015). https://doi.org/10.1007/s10511-015-9393-6
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DOI: https://doi.org/10.1007/s10511-015-9393-6