Sifting quantum black holes through the principle of least action

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We tackle the question of whether regular black holes or other alternatives to the Schwarzschild solution can arise from an action principle in quantum gravity. Focusing on an asymptotic expansion of such solutions and inspecting the corresponding field equations, we demonstrate that their realization within a principle of stationary action would require either fine-tuning, or strong infrared nonlocalities in the gravitational effective action. This points to an incompatibility between large-distance locality and many of the proposed alternatives to classical black holes.

Original languageEnglish
Article numberL021901
JournalPhysical Review D
Volume106
Issue number2
ISSN2470-0010
DOIs
Publication statusPublished - 15 Jul 2022

Bibliographical note

Funding Information:
The authors would like to thank N. Afshordi, I. Basile, A. Bonanno, L. Buoninfante, R. Casadio, A. Eichhorn and K. Stelle for interesting discussions. The authors acknowledge support by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Colleges and Universities.

Publisher Copyright:
© 2022 authors. Published by the American Physical Society.

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