Quantum probes of timelike naked singularities in $2+1-$ dimensional power - law spacetimes

Abstract

The formation of naked singularities in $2+1-$ dimensional power - law spacetimes in linear Einstein-Maxwell and Einstein-scalar theories sourced by azimuthally symmetric electric field and a self-interacting real scalar field respectively, are considered in view of quantum mechanics. Quantum test fields obeying the Klein-Gordon and Dirac equations are used to probe the classical timelike naked singularities developed at $r=0$. We show that when the classically singular spacetimes probed with scalar waves, the considered spacetimes remains singular. However, the spinorial wave probe of the singularity in the metric of a self-interacting real scalar field remains quantum regular. The notable outcome in this study is that the quantum regularity/singularity can not be associated with the energy conditions.

10 pages no figure, Second major revision, title changed

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Cited by in corpus (2)

• Particle Production via Dirac Dipole Moments in the Magnetized and Non-magnetized Exponentially Expanding Universe
• Classical and quantum analysis of an Einstein-Scalar solution in $2+1$ dimensions