2024/11/28 by Ruolin Liu, Jerome Quintin, Niayesh Afshordi · 1 voice · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Computer science #Conformal map #Cosmology and Gravitation Theories #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quadratic equation #Quantum #Quantum gravity #Quantum mechanics #Theoretical physics
paper · pdf · open access · doi:10.1103/physrevd.111.044031
published in Physical review. D/Physical review. D. 111(4) (American Physical Society)
openalex publication_date 2025/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11
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.