Quantum singularities in a model of f(R) Gravity

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.

12 pages, final version. Accepted for publication in EPJC

References in corpus (22)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• The Power of General Relativity
• Black Holes in f(R) theories
• Quantum Probes of Spacetime Singularities
• Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity
• Stability of spherically symmetric solutions in modified theories of gravity
• Exact solutions of f(R) gravity coupled to nonlinear electrodynamics
• Who's Afraid of Naked Singularities?
• Solutions for f(R) gravity coupled with electromagnetic field
• 2+1 dimensional magnetically charged solutions in Einstein - Power - Maxwell theory
• Quantum singularity of Levi-Civita spacetimes
• Quantum Singularities Around a Global Monopole
• Quantum singularities in the BTZ spacetime
• Dynamics in Stationary, Non-Globally Hyperbolic Spacetimes
• Dilatonic interpolation between Reissner-Nordstrom and Bertotti-Robinson spacetimes with physical consequences
• n-Dimensional FLRW Quantum Cosmology
• Quantum Singularities in Spacetimes with Spherical and Cylindrical Topological Defects
• Quantum singularities in (2+1) dimensional matter coupled black hole spacetimes
• Generating Static Spherically Symmetric Black-holes in Lovelock Gravity
• Quantum singularities in static and conformally static space-times
• Classical and Quantum Singularities of Levi-Civita Spacetimes with and without a Positive Cosmological Constant

Cited by in corpus (9)

• A new Einstein-nonlinear electrodynamics solution in 2+1-dimensions
• Lemaitre-Tolman-Bondi dust solutions in f(R) gravity
• Quantum probes of timelike naked singularities in the weak field regime of $f(R)$ global monopole spacetime
• Quantum singularities in spherically symmetric, conformally static spacetimes
• Resolution of curvature singularities from quantum mechanical and loop perspective
• Quantum probes of timelike naked singularities in $2+1-$ dimensional power - law spacetimes
• Quantum Probe of Hořava-Lifshitz Gravity
• Quantum fate of timelike naked singularity with scalar hair
• Quantization of the interior of the black hole