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Action principle selection of regular black holes
Physical Review D  (IF5.296),  Pub Date : 2021-10-20, DOI: 10.1103/physrevd.104.084072
Breno L. Giacchini, Tibério de Paula Netto, Leonardo Modesto

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.