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Black holes in depleted Dehnen dark matter halos with physical inner edges and strong-field observables — arXiv:2609.23750

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.23750
License (as archived): CC0-1.0
Archived: 2026-10-10T00:00:54.883Z
SHA-256 of the archived text: 82417174e184fcc24465045108d81680c399d0909390620d21fc483dde855e81
Stable URL of this page: https://metraipolis.com/documento/dc_dafaea131cb4

How to cite

Black holes in depleted Dehnen dark matter halos with physical inner edges and strong-field observables — arXiv:2609.23750 — arXiv (en), https://arxiv.org/abs/2609.23750 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_dafaea131cb4 (Metraipolis archive dc_dafaea131cb4, sha256 82417174e184fcc24465045108d81680c399d0909390620d21fc483dde855e81)

BibTeX

@misc{dcdafaea131cb4,
  title = {Black holes in depleted Dehnen dark matter halos with physical inner edges and strong-field observables — arXiv:2609.23750},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.23750},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_dafaea131cb4; sha256 82417174e184fcc24465045108d81680c399d0909390620d21fc483dde855e81},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.23750. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We construct a static and spherically symmetric black hole (BH) spacetime surrounded by a depleted Dehnen dark matter (DM) halo. The model describes a final equilibrium configuration rather than dynamical accretion process: the initial halo mass inside a prescribed inner edge is incorporated into the central BH, leaving a vacuum gap between the dressed horizon and the surviving halo. Consequently, the horizon radius depends on the Dehnen cusp index $\gamma$ and the absorbed halo mass, while the Schwarzschild result is recovered exactly when the halo is removed. We derive general expressions for the metric functions and redshift phase and obtain explicit solutions for $\gamma=0,1,2,$ and $5/2$. The dominant energy condition imposes the universal local bound $\kappa\geq5/4$, whereas global admissibility depends additionally on the cusp index and halo compactness. A literal stable Einstein-cluster interpretation requires the stronger condition $\kappa\geq3$ when stable circular motion is imposed at the halo edge. We also analyze the photon sphere, shadow, and admissible parameter space, demonstrating how the halo cusp and depletion scale affect strong-field observables. Previously studied analytic BH--halo geometries and the Schwarzschild and weak-halo limits follow as special cases of the general construction.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-22 in gr-qc).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2609.23750 — 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 2026-10-09T22:51:15.769Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-09-22?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).