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A novel test of gravity via black hole eikonal correspondence
General Relativity and Quantum Cosmology · Submitted 20 Dec 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Therefore, the proposed test of eikonal correspondence can be validated in quite broad scenarios.
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The abstract, sentence by sentence
When adopted in black hole spacetimes, geometric-optics approximations imply a mapping between the quasinormal mode (QNM) spectrum of black holes in the eikonal limit and black hole images. In particular, the real part and the imaginary part of eikonal QNM frequencies are associated with the apparent size and the detailed structure of the ring images, respectively. This correspondence could be violated when going beyond general relativity. We propose a novel method to test the eikonal correspondence via the comparison of two sets of observables from a nonrotating black hole, one extracted from QNM spectra and the other from the lensed photon rings on the image plane. Specifically, the photon ring observables robustly capture the information of the black hole spacetime itself regardless of the surrounding emission models. Therefore, the proposed test of eikonal correspondence can be validated in quite broad scenarios.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | When adopted in black hole spacetimes, geometric-optics approximations imply a mapping between the quasinormal mode (QNM) spectrum of black holes in the eikonal limit and black hole images. | background 1.00 | 0.07 | 0.06 | asserted 0.89 |
| s1 | In particular, the real part and the imaginary part of eikonal QNM frequencies are associated with the apparent size and the detailed structure of the ring images, respectively. | background 0.99 | 0.10 | 0.06 | asserted 1.00 |
| s2 | This correspondence could be violated when going beyond general relativity. | background 0.70 | 0.04 | 0.07 | hedged possibility 1.00 |
| s3 | We propose a novel method to test the eikonal correspondence via the comparison of two sets of observables from a nonrotating black hole, one extracted from QNM spectra and the other from the lensed photon rings on the image plane. | contribution 0.86 | 0.79 | 0.30 | asserted 0.86 |
| s4 | Specifically, the photon ring observables robustly capture the information of the black hole spacetime itself regardless of the surrounding emission models. | interpretation 0.54 | 0.28 | 0.10 | asserted 1.00 |
| s5 | Therefore, the proposed test of eikonal correspondence can be validated in quite broad scenarios. | interpretation 0.97 | 0.16 | 0.27 | asserted 0.56 |
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Original abstract
When adopted in black hole spacetimes, geometric-optics approximations imply a mapping between the quasinormal mode (QNM) spectrum of black holes in the eikonal limit and black hole images. In particular, the real part and the imaginary part of eikonal QNM frequencies are associated with the apparent size and the detailed structure of the ring images, respectively. This correspondence could be violated when going beyond general relativity. We propose a novel method to test the eikonal correspondence via the comparison of two sets of observables from a nonrotating black hole, one extracted from QNM spectra and the other from the lensed photon rings on the image plane. Specifically, the photon ring observables robustly capture the information of the black hole spacetime itself regardless of the surrounding emission models. Therefore, the proposed test of eikonal correspondence can be validated in quite broad scenarios.
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9 arXiv papers cite this in 11 sentences
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Cites it as background 1 paper
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Keeping the above motivations in mind, an eikonal formula for QNMs was derived for perturbations for various BH models: for various Einstein-scalar-Gauss-Bonnet theories [ref] , for various quantum corrected theories [ref] , for the Schwarzschild-de Sitter spacetime [ref] , for the dynamical Chern-Simons theory [ref] , for the scalar-tensor theories [ref] , for magnetically charged BHs [ref] , and for BHs with quadrupole momentum [ref] .
Analytical QNMs of fields of various spin in the Hayward spacetime · Introduction · 0.88
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