2012/05/31 by T. Tahamtan, O. Gurtug · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-012-2091-1
published as The European Physical Journal C 72 (7), 2091 (2012) · 12 pages, final version. Accepted for publication in EPJC
arxiv created 2012/07/25 · arxiv updated 2012/08/28
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.