Action principle selection of regular black holes
arXiv:2105.00300 · doi:10.1103/PhysRevD.104.084072
Abstract
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.
arXiv comment12 pages, 1 figure. V2: references added, presentation improved; matches the published version
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