Black hole correspondences of quasi-topological gravity : Shadows, quasinormal modes, graybody factors
Abstract
Within the framework of quasi-topological gravity, we systematically investigate the correspondences among three classes of observables---the shadow, the quasinormal modes, and the graybody factors---of regular black holes in D = 5 dimensions. Using the WKB approximation and GrayHawk numerical integration, we test the applicability of the GBF--QNM correspondence and the shadow--GBF correspondence in the low-mode (l=2) and higher-dimensions (D=5): the difference between the GBF--QNM correspondence and the numerical results remains small in magnitude; we apply the known Langer correction (replacing l by the effective angular momentum κ= √(l(l+D−3)) ≃ l + (D−3)/2), which reduces the error of the shadow--GBF correspondence at low modes to a level comparable with that of the GBF--QNM correspondence. Our work extends the shadow--GBF correspondence to higher-dimensional regular black holes, providing a viable route to predict the black hole spectrum and the Hawking radiation profile from a single observable, and thereby to realize multi-messenger tests of gravity.
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BibTeX
@misc{fan2026black,
title = {{Black hole correspondences of quasi-topological gravity : Shadows, quasinormal modes, graybody factors}},
author = {Sihao Fan and Chen Wu and Wenjun Guo},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30169},
eprint = {2608.30169},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30169},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Black hole correspondences of quasi-topological gravity : Shadows, quasinormal modes, graybody factors
AU - Sihao Fan
AU - Chen Wu
AU - Wenjun Guo
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30169
UR - https://arxiv.org/abs/2608.30169
AB - Within the framework of quasi-topological gravity, we systematically investigate the correspondences among three classes of observables---the shadow, the quasinormal modes, and the graybody factors---of regular black holes in D = 5 dimensions. Using the WKB approximation and GrayHawk numerical integration, we test the applicability of the GBF--QNM correspondence and the shadow--GBF correspondence in the low-mode (l=2) and higher-dimensions (D=5): the difference between the GBF--QNM correspondence and the numerical results remains small in magnitude; we apply the known Langer correction (replacing l by the effective angular momentum κ= √(l(l+D−3)) ≃ l + (D−3)/2), which reduces the error of the shadow--GBF correspondence at low modes to a level comparable with that of the GBF--QNM correspondence. Our work extends the shadow--GBF correspondence to higher-dimensional regular black holes, providing a viable route to predict the black hole spectrum and the Hawking radiation profile from a single observable, and thereby to realize multi-messenger tests of gravity.
ER -