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Action principle selection of regular black holes

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arxiv 2105.00300 v2 pith:HNGDDM3O submitted 2021-05-01 gr-qc hep-th

Breno L. Giacchini , Tibério de Paula Netto , Leonardo Modesto This is my paper · ORCID
classification gr-qchep-th
keywords regularactionhigher-derivativeblackcurvaturegravityintegralinvariants
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We elaborate on the role of higher-derivative curvature invariants as a quantum selection mechanism of regular spacetimes in the framework of the Lorentzian path integral approach to quantum gravity. We show that for a large class of black hole metrics prominently regular there are higher-derivative curvature invariants which are singular. If such terms are included in the action, according to the finite action principle applied to a higher-derivative gravity model, not only singular spacetimes but also some of the regular ones do not seem to contribute to the path integral.

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Cited by 2 Pith papers

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

  1. Spherically symmetric solutions in quasi-local Einstein-Weyl gravity

    gr-qc 2025-12 conditional novelty 7.0 of 10

    In quasi-local Einstein-Weyl gravity, static spherically symmetric Frobenius solutions are classified: regular cores only, Schwarzschild-like horizons and wormhole throats, plus asymptotic 1/r^6 corrections to Schwarzschild.

  2. What happens to topological invariants (and black holes) in singularity-free theories?

    gr-qc 2024-11 conditional novelty 4.0 of 10

    Regularizing point-source singularities makes flat-space topological charges radius-dependent; in general relativity the same idea gives a cut-out Reissner-Nordström geometry with finite low-order curvature invariants.

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