Prague, 28 June 2017
Regular Article - Theoretical Physics
Quantum singularities in a model of f(R) gravity
Department of Physics, Eastern Mediterranean University, G. Magusa, north Cyprus, Mersin 10, Turkey
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Published online: 25 July 2012
The formation of a naked singularity in a model of f(R) gravity having as source a linear electromagnetic field is considered in view of quantum mechanics. Quantum test fields obeying the Klein–Gordon, Dirac and Maxwell equations are used to probe the classical timelike naked singularity developed at r=0. We prove that the spatial derivative operator of the fields fails to be essentially self-adjoint. As a result, the classical timelike naked singularity remains quantum mechanically singular when it is probed with quantum fields having different spin structures.
© Springer-Verlag / Società Italiana di Fisica, 2012