Deflection Angle in the Strong Deflection Limit and Quasinormal Modes in Stationary Axisymmetric Spacetimes
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912807294861312 |
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| author | Igata, Takahisa |
| author_facet | Igata, Takahisa |
| contents | We derive a coordinate-invariant expression for the photon deflection angle in the strong deflection limit (SDL) of stationary axisymmetric spacetimes. The key logarithmic-divergence coefficient is shown to depend only on quantities locally measurable by a zero-angular-momentum observer -- curvature scalars, the circumferential radius, and the proper angular velocity. The same coefficient governs the damping rate of quasinormal modes (QNMs) in the eikonal limit, establishing a curvature-based, model-independent connection between QNMs and lensing in the SDL near rotating compact objects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01848 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deflection Angle in the Strong Deflection Limit and Quasinormal Modes in Stationary Axisymmetric Spacetimes Igata, Takahisa General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory We derive a coordinate-invariant expression for the photon deflection angle in the strong deflection limit (SDL) of stationary axisymmetric spacetimes. The key logarithmic-divergence coefficient is shown to depend only on quantities locally measurable by a zero-angular-momentum observer -- curvature scalars, the circumferential radius, and the proper angular velocity. The same coefficient governs the damping rate of quasinormal modes (QNMs) in the eikonal limit, establishing a curvature-based, model-independent connection between QNMs and lensing in the SDL near rotating compact objects. |
| title | Deflection Angle in the Strong Deflection Limit and Quasinormal Modes in Stationary Axisymmetric Spacetimes |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.01848 |