https://doi.org/10.1140/epjp/i2017-11317-0
Regular Article
Quantum particle probe of the Kerr naked singularity
Department of Physics, Eastern Mediterranean University, Mersin 10, north Cyprus, Turkey
* e-mail: ozay.gurtug@emu.edu.tr
Received:
3
December
2016
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