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Quantum fate of timelike naked singularity with scalar hair

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arxiv 1606.05635 v4 pith:5VEM6KKK submitted 2016-06-17 gr-qc hep-th

classification gr-qchep-th
keywords quantumsingularitygeometrymethodsapproachdiracfatefirst
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We study the quantum fate of a naked curvature singularity sourced by a scalar field via several methods and compare the results obtained. The first method relies on relativistic quantum mechanics on a fixed background employing the Klein--Gordon and the Dirac equations for a static spacetime. We show that both the Klein--Gordon and the Dirac particles feel this singularity therefore this method does not provide its resolution. For comparison, we subsequently employ methods for quantizing the geometry itself. We selected the canonical quantization via conditional symmetries and as a last approach we use a maximal acceleration derivation in the covariant loop quantum gravity. In both of these approaches the singularity is resolved at the quantum level. We discuss these conflicting results bearing in mind that quantum particles probe classical geometry in the first approach while the last two methods quantize the geometry itself.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Orbital Motion in Spacetimes Influenced by the Presence of Scalar and Electromagnetic Fields

    gr-qc 2025-01 conditional novelty 6.0 of 10

    Strong scalar fields around naked singularities can create stable circular orbits, and charged scalar-field spacetimes can host both stable and unstable photon orbits.

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