Dymnikova black hole from an infinite tower of higher-curvature corrections

Abstract

Recently, in [arXiv:2403.04827], it was demonstrated that various regular black hole metrics can be derived within a theory featuring an infinite number of higher curvature corrections to General Relativity. Moreover, truncating this infinite series at the first few orders already yields a reliable approximation of the observable characteristics of such black holes [arXiv:2403.07848]. Here, we further establish the existence of another regular black hole solution, particularly the $D$-dimensional extension of the Dymnikova black hole, within the equations of motion incorporating an infinite tower of higher-curvature corrections. This solution is essentially nonperturbative in the coupling parameter, rendering the action, if it exists, incapable of being approximated by a finite number of powers of the curvature. In addition, we compute the dominant quasinormal frequencies of such black holes using both the Bernstein polynomial method and the 13th order WKB method with Padé approximants, obtaining a high degree of agreement between them.

6 pages

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• A new representation of vacuum Lovelock solutions in $d=2N+1$ dimensions: Black holes with an integrable singularity and regular black holes
• Thermodynamics and Quasinormal Modes of the Dymnikova Black Hole in Higher Dimensions
• Grey-body factors of higher dimensional regular black holes in quasi-topological theories
• Gravitational quasinormal modes of Dymnikova black holes
• Gravitational perturbations of Dymnikova black holes: grey-body factors and absorption cross-sections
• Regular black holes from pure gravity in four dimensions
• All $2D$ generalised dilaton theories from $d\ge 4$ gravities
• Hawking Emission from Black Holes Evaporating toward Wormholes and the Accuracy of the WKB Approximation