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arXiv · 2411.19311

Conformal Cores of Quantum Black Holes in Quadratic Gravity

Ruolin Liu·Jerome Quintin·Niayesh Afshordi
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Abstract

We explore the possibility that quadratic gravity, as a renormalizable theory, describes the interior of quantum black holes. We find new exact power-law solutions to pure quadratic gravity under spherical symmetry, which are complex valued. The resulting solutions, dubbed powerballs, are horizonless compact objects that become Schwarzschild-like a small distance (of the order of the Planck length) outside the would-be Schwarzschild horizon. We present a description of the global eternal geometry, whose right and left exteriors are Lorentzian and Euclidean Schwarzschild-like regions, respectively, while the complex interior is a form of spiraling spacetime. We compute the total on-shell action integral as a saddle point to a gravitational path integral and discuss the Lorentzian and Euclidean interpretations thereof.

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Ruolin Liu, Jerome Quintin, Niayesh Afshordi. 2024-11-28. Conformal Cores of Quantum Black Holes in Quadratic Gravity. https://doi.org/10.1103/physrevd.111.044031

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