1205.5125 (T. Tahamtan et al.)

Quantum singularities in a model of f(R) Gravity    [PDF]

T. Tahamtan, O. Gurtug

The formation of naked singularity in f(R) gravity sourced by 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.

View original: http://arxiv.org/abs/1205.5125