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The Kerr-Taub-NUT spacetime in the Kaluza-Klein theory represents a localizedstationary and axisymmetric object in four dimensions from the Kaluza-Kleinviewpoint. That is, it harbors companion electromagnetic and dilaton fields,thereby showing up the signature of the extra fifth dimension. We explore theseparability structure of this spacetime and show that the Hamilton-Jacobiequation for geodesics admits the complete separation of variables only formassless geodesics. This implies the existence of the hidden symmetries in thespacetime, which are generated by the conformal Killing tensor. Using a simpletrick built up on a conformally related metric (an "effective" metric) with theKilling tensor, we construct the explicit expression for the conformal Killingtensor.

Separability and Hidden Symmetries of Kerr-Taub-NUT Spacetime in Kaluza-Klein Theory