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arXiv · 1205.5125

Quantum singularities in a model of f(R) Gravity

T. Tahamtan·O. Gurtug
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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.

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T. Tahamtan, O. Gurtug. 2012-07-25. Quantum singularities in a model of f(R) Gravity. https://doi.org/10.1140/epjc%2Fs10052-012-2091-1

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