Article

# Quantum singularities in a model of f(R) Gravity

European Physical Journal C 05/2012; 72:2091. DOI: 10.1140/epjc/s10052-012-2091-1

Source: arXiv

**ABSTRACT**

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.

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.

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