Mass Formula for a Stationary Axisymmetric Configuration and the Physical Realization of the Kerr Metric

Abstract

We analyse the expression for the mass of a stationary axisymmetric configuration in general relativity obtained in our previous work [1]. From the generality of our formula and its incompatibility with the corresponding expression in Kerr space-time we argue that a stationary equilibrium distribution of a real matter cannot be a source of the Kerr metric.

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