Abstract
It is shown that the only empty space solution of the type “flat space plus the square of a null vector” whose singularities are confined to a bounded region is the Kerr metric.
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References
Debney, G. C., Kerr, R. P., and Schild, A. (1969).J. Math. Phys.,10, 1842.
Held, A. (1976).Gen. Rel. Grav.,7, 177.
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Kerr, R.P., Wilson, W.B. Singularities in the Kerr-Schild metrics. Gen Relat Gravit 10, 273–281 (1979). https://doi.org/10.1007/BF00759485
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DOI: https://doi.org/10.1007/BF00759485