Stationary axisymmetric Kaluza–Klein black hole

Abstract
Stationary, rotating Kaluza–Klein black hole solutions are studied in the case of vanishing electric charge. It is shown that in this case the field equations decouple and consist of the vacuum Ernst equations and the Laplace equation for the scalar (dilaton) field. The regular, electrically neutral, rotating Kaluza–Klein black hole is described uniquely by the trivial embedding of the Kerr metric in the five-dimensional space-time.

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