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Lensing Signatures of a Primary Hair Black Hole Solution — arXiv:2609.25667

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.25667
License (as archived): CC0-1.0
Archived: 2026-10-09T06:14:25.105Z
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How to cite

Lensing Signatures of a Primary Hair Black Hole Solution — arXiv:2609.25667 — arXiv (en), https://arxiv.org/abs/2609.25667 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_0cfcfdf9dfb2 (Metraipolis archive dc_0cfcfdf9dfb2, sha256 9e3e78298e0ed1b93e9ce9322fb0d2a56f25cddf8be41de67ea019423e21cc0b)

BibTeX

@misc{dc0cfcfdf9dfb2,
  title = {Lensing Signatures of a Primary Hair Black Hole Solution — arXiv:2609.25667},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.25667},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_0cfcfdf9dfb2; sha256 9e3e78298e0ed1b93e9ce9322fb0d2a56f25cddf8be41de67ea019423e21cc0b},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.25667. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We investigate the weak and strong field gravitational lensing of light by a primary hair black hole (BH) solution obtained within the framework of the gravitational decoupling (GD) approach. In this method, the BH solution is constructed by introducing geometric deformations to a known seed spacetime, which, in the present case, is the Schwarzschild geometry. The deformation functions are determined by imposing the dominant energy condition, leading to the emergence of two characteristic parameters, the primary hair $Q$ and the coupling constant $\alpha$, both of which deform the Schwarzschild spacetime. To explore the lensing properties of this BH, we employ the Gibbons-Werner approach in the weak field regime and Bozza's formalism in the strong field regime. In the weak field limit, we derive the deflection angle up to second-order corrections and find that the coupling parameter $\alpha$ contributes more significantly to the leading-order deflection than the primary hair parameter $Q$. The primary hair is also found to exhibit an effectively repulsive gravitational behavior. In the strong field regime, we compute the deflection angle of photons propagating near the photon sphere, where the deflection diverges logarithmically, allowing photons to complete multiple loops around the BH and form relativistic images. Using the supermassive BH Sgr A* as the astrophysical lens, we further investigate the strong lensing observables, namely the asymptotic angular position $\vartheta_{\infty}$, the angular separation $s$, and the relative magnitude $r_{\mathrm{mag}}$. We also constrain the primary hair parameter $Q$ for different values of the coupling constant $\alpha$ using the shadow observations of Sgr A* reported by the Event Horizon Telescope (EHT) Collaboration.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-23 in gr-qc).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2609.25667 — 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 2026-10-09T05:48:04.493Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-09-23?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).