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Ruling out matter-induced bumps in black-hole effective potentials
Abstract
Matter fields localized around black holes can produce small secondary bumps in the effective potentials governing black-hole perturbations, potentially leading to quasinormal-mode spectral instabilities and late-time echoes. Considering physically motivated models of anisotropic fluids surrounding a spherically symmetric black hole, we show that the appearance of such a secondary bump is accompanied by either singular matter profiles or divergent characteristic speeds in the fluid. These features indicate that the corresponding matter configurations are unphysical. We further demonstrate that a secondary bump in the effective potential does not necessarily imply the existence of additional light rings in the spacetime.
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BibTeX
@misc{rocca2026ruling,
title = {{Ruling out matter-induced bumps in black-hole effective potentials}},
author = {Matteo Della Rocca and Romeo Felice Rosato and Paolo Pani},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.09284},
eprint = {2609.09284},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.09284},
}
RIS
TY - UNPB
TI - Ruling out matter-induced bumps in black-hole effective potentials
AU - Matteo Della Rocca
AU - Romeo Felice Rosato
AU - Paolo Pani
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.09284
UR - https://arxiv.org/abs/2609.09284
AB - Matter fields localized around black holes can produce small secondary bumps in the effective potentials governing black-hole perturbations, potentially leading to quasinormal-mode spectral instabilities and late-time echoes. Considering physically motivated models of anisotropic fluids surrounding a spherically symmetric black hole, we show that the appearance of such a secondary bump is accompanied by either singular matter profiles or divergent characteristic speeds in the fluid. These features indicate that the corresponding matter configurations are unphysical. We further demonstrate that a secondary bump in the effective potential does not necessarily imply the existence of additional light rings in the spacetime.
ER -