From Ringdown to Lensing: Analytic Eikonal Modes of Quasi-Topological Regular Black Holes
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910130341150720 |
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| author | Dubinsky, Alexey |
| author_facet | Dubinsky, Alexey |
| contents | We develop an analytic eikonal description of perturbations for four-dimensional regular black holes in quasi-topological gravity. Using first-order Schutz--Will WKB together with a small-coupling expansion and a large-$\ell$ expansion, we obtain closed quasinormal-mode formulas with explicit dependence on the black-hole parameters $(M,μ,ν,α)$. We then map the same geodesic invariants $(Ω_{\text{ph}},λ_{\text{ph}})$ to shadow and strong-lensing observables, deriving an explicit QNM--shadow--lensing correspondence. In this way, ringdown frequencies, shadow scale, and strong-deflection observables are unified in one analytic scheme for this quasi-topological family. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13613 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | From Ringdown to Lensing: Analytic Eikonal Modes of Quasi-Topological Regular Black Holes Dubinsky, Alexey General Relativity and Quantum Cosmology We develop an analytic eikonal description of perturbations for four-dimensional regular black holes in quasi-topological gravity. Using first-order Schutz--Will WKB together with a small-coupling expansion and a large-$\ell$ expansion, we obtain closed quasinormal-mode formulas with explicit dependence on the black-hole parameters $(M,μ,ν,α)$. We then map the same geodesic invariants $(Ω_{\text{ph}},λ_{\text{ph}})$ to shadow and strong-lensing observables, deriving an explicit QNM--shadow--lensing correspondence. In this way, ringdown frequencies, shadow scale, and strong-deflection observables are unified in one analytic scheme for this quasi-topological family. |
| title | From Ringdown to Lensing: Analytic Eikonal Modes of Quasi-Topological Regular Black Holes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2604.13613 |