Banibrata Mukhopadhyay and Naresh Dadhich 2004 Class. Quantum Grav. 21 3621 doi:10.1088/0264-9381/21/15/001
Banibrata Mukhopadhyay1 and Naresh Dadhich
Show affiliationsWe study the scalar and spinor perturbation, namely the Klein–Gordan and Dirac equations, in the Kerr–NUT spacetime. The metric is invariant under the duality transformation involving the exchange of mass and NUT parameters on the one hand and radial and angle coordinates on the other. We show that this invariance is also shared by the scalar and spinor perturbation equations. Further, by the duality transformation, one can go from the Kerr to the dual Kerr solution, and vice versa, and the same applies to the perturbation equations. In particular, it turns out that the potential barriers felt by the incoming scalar and spinor fields are higher for the dual Kerr than that for the Kerr. We also comment on the existence of horizon and singularity.
Issue 15 (7 August 2004)
Received 26 January 2004
Published 9 July 2004
Banibrata Mukhopadhyay and Naresh Dadhich 2004 Class. Quantum Grav. 21 3621
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