Geodesic
The~physical inconsistency of the~Schwarzschild and Kerr solutions
Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 1, pp. 172-176

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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.
Keywords: Einstein's equations, static solution, causality, proper reference frame, physical speed. 
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     author = {V. V. Kiselev and A. A. Logunov and M. A. Mestvirishvili},
     title = {The~physical inconsistency of {the~Schwarzschild} and {Kerr} solutions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {2010},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2010_164_1_a10/}
}
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V. V. Kiselev; A. A. Logunov; M. A. Mestvirishvili. The~physical inconsistency of the~Schwarzschild and Kerr solutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 1, pp. 172-176. http://geodesic.mathdoc.fr/item/TMF_2010_164_1_a10/