The physical inconsistency of the Schwarzschild and Kerr solutions

The metric of a neutral stationary “black hole” does not satisfy the causality conditions formulated by Hilbert. As a consequence, a trial body falling freely, for instance, into a rotating “black hole” develops a speed equal to the speed of light on the ergosphere shell during a finite time in the reference frame of a distant observer, which results in physical inconsistency and indicates the principal drawback of the vacuum solution of Einstein's equation outside a source.