Zooming into the horizon region of black hole-type objects

Fuente: arXiv
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Autores principales: Daas, Jesse, Laporte, Cristobal, Saueressig, Frank, van Dijk, Tim
Formato: Preprint
Publicado: 2025
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author Daas, Jesse
Laporte, Cristobal
Saueressig, Frank
van Dijk, Tim
author_facet Daas, Jesse
Laporte, Cristobal
Saueressig, Frank
van Dijk, Tim
contents A universal prediction of quantum gravity is that the dynamics of general relativity is augmented by interactions that are of higher order in the spacetime curvature. Numerical explorations indicate that such terms may have a drastic impact on black hole-type solutions by modifying the geometry close to the would-be event horizon in a substantial way. In this work, we perform the first systematic investigation of this blow-up mechanism within general relativity supplemented by quadratic gravity terms, the Goroff-Sagnotti counterterm, the combination of the two, and Einstein-Cubic Gravity. By studying linear perturbations of the Schwarzschild solution close to the Schwarzschild radius, we discover the following picture: the higher-derivative terms giving rise to extra degrees of freedom play a distinguished role. Once couplings associated with these terms enter the solution in the asymptotically flat region, a blow-up mechanism removes the event horizon and one deals with either a naked singularity or a wormhole. We believe that this finding is highly relevant when constraining the coefficients appearing in the Wilsonian description of gravity by observations.
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id arxiv_https___arxiv_org_abs_2502_13230
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Zooming into the horizon region of black hole-type objects
Daas, Jesse
Laporte, Cristobal
Saueressig, Frank
van Dijk, Tim
General Relativity and Quantum Cosmology
A universal prediction of quantum gravity is that the dynamics of general relativity is augmented by interactions that are of higher order in the spacetime curvature. Numerical explorations indicate that such terms may have a drastic impact on black hole-type solutions by modifying the geometry close to the would-be event horizon in a substantial way. In this work, we perform the first systematic investigation of this blow-up mechanism within general relativity supplemented by quadratic gravity terms, the Goroff-Sagnotti counterterm, the combination of the two, and Einstein-Cubic Gravity. By studying linear perturbations of the Schwarzschild solution close to the Schwarzschild radius, we discover the following picture: the higher-derivative terms giving rise to extra degrees of freedom play a distinguished role. Once couplings associated with these terms enter the solution in the asymptotically flat region, a blow-up mechanism removes the event horizon and one deals with either a naked singularity or a wormhole. We believe that this finding is highly relevant when constraining the coefficients appearing in the Wilsonian description of gravity by observations.
title Zooming into the horizon region of black hole-type objects
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2502.13230