Black holes with dark matter halos and a positive cosmological constant: Energy conditions and signatures

@misc{li2026black,
  title = {{Black holes with dark matter halos and a positive cosmological constant: Energy conditions and signatures}},
  author = {Long-Yue Li and Li-Ming Cao and Yungui Gong and Xia-Yuan Liu and Liang-Bi Wu and Wenting Zhou},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.17628},
  eprint = {2610.17628},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.17628},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Black holes with dark matter halos and a positive cosmological constant: Energy conditions and signatures
AU  - Long-Yue Li
AU  - Li-Ming Cao
AU  - Yungui Gong
AU  - Xia-Yuan Liu
AU  - Liang-Bi Wu
AU  - Wenting Zhou
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.17628
UR  - https://arxiv.org/abs/2610.17628
AB  - We study static, spherically symmetric black holes surrounded by dark matter halos in the presence of a positive cosmological constant. Assuming vanishing radial pressure, we derive the constraints imposed by the null, weak, strong, and dominant energy conditions on the halo matter. The halo is confined to a finite radial interval separated from both horizons, and the total mass is bounded above by the Nariai value. We construct a Hernquist-type profile and study black hole images, showing that a positive cosmological constant can substantially change the images. We also compute scalar quasinormal modes of the Hernquist-type spacetime. When the dark matter mass is sufficiently small, the relative difference of a selected mode is approximately linear in the compactness of the matter halo, i.e., the ratio of mass parameter M_DM and scale parameter a, with a coefficient that depends on the cosmological constant.
ER  -