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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

Action principle selection of regular black holes

classification gr-qc hep-th
keywords regularactionhigher-derivativeblackcurvaturegravityintegralinvariants
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 6 Pith papers

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