Quantum particle probe of the Kerr naked singularity
Department of Physics, Eastern Mediterranean University, Mersin 10, north Cyprus, Turkey
* e-mail: firstname.lastname@example.org
Accepted: 22 December 2016
Published online: 24 January 2017
We investigate Kerr’s timelike naked singularity within the framework of quantum mechanics. A quantum particle in the form of a massive boson is sent in the plane to the naked ring singularity of Kerr which develops for the overspinning case to test it from a quantum picture. This singularity is analysed in two different coordinate systems. We show that the spatial operator of the Klein-Gordon equation both in Boyer-Lindquist and in the dragging coordinate systems has a unique self-adjoint extension. As a result, the classical Kerr’s ring singularity becomes quantum regular, if it is probed with massive bosonic particles obeying the Klein-Gordon equation.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2017