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Uniform Strong-Deflection Lensing in Near-Extremal Kerr — arXiv:2610.02900

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.02900
License (as archived): CC0-1.0
Archived: 2026-10-06T11:05:49.988Z
SHA-256 of the archived text: 26f9c8ece42db14378df1848fbadb8133dc73754d12e4ab5d9a1bfee8f509c9e
Stable URL of this page: https://metraipolis.com/documento/dc_edeb583ba683

How to cite

Uniform Strong-Deflection Lensing in Near-Extremal Kerr — arXiv:2610.02900 — arXiv (en), https://arxiv.org/abs/2610.02900 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_edeb583ba683 (Metraipolis archive dc_edeb583ba683, sha256 26f9c8ece42db14378df1848fbadb8133dc73754d12e4ab5d9a1bfee8f509c9e)

BibTeX

@misc{dcedeb583ba683,
  title = {Uniform Strong-Deflection Lensing in Near-Extremal Kerr — arXiv:2610.02900},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.02900},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_edeb583ba683; sha256 26f9c8ece42db14378df1848fbadb8133dc73754d12e4ab5d9a1bfee8f509c9e},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.02900. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Strong-deflection lensing by a subextremal Kerr black hole exhibits a logarithmic critical divergence, whereas the exactly extremal prograde problem develops stronger power-law behavior. We construct a uniform asymptotic description of the transition between these regimes for prograde equatorial null geodesics. The distinguished joint near-critical and near-extremal limit occurs when the impact-parameter offset from the exact critical value is of order \(M\kappa\), where \(\kappa=\sqrt{1-a^2/M^2}\). In this limit, the Kerr radial potential reduces to a quadratic normal form, yielding an analytic crossover function that connects the subextremal logarithmic and extremal power-law regimes. We derive a matched next-to-leading-order correction and validate it against high-precision integrations of the exact Kerr geodesic equations, finding improvement for all 55 trajectories tested. The same asymptotic structure yields a higher-order image-branch law interpolating between algebraic and exponential accumulation, with crossover order scaling as \(\kappa^{-1}\). We also derive and numerically validate the corresponding image-branch coordinate-time delay law, whose high-order extremal-like limit approaches the horizon-period spacing \(4\pi M\).

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-10-05 in gr-qc).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2610.02900 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-06T09:49:16.522Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-10-05?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).