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PreprintCC BY 4.0arXiv

Topological analysis of novel charged-AdS black hole solutions embedded in dark matter halos with quintessence field

Abstract

In this work, we investigate the properties of a charged anti-de Sitter (AdS) black hole in the presence of a NGC 4649-type dark matter halo and a surrounding quintessence field. Starting from the modified Einstein field equations (EFEs), we construct the corresponding black hole solutions by incorporating the effects of electric charge, cosmological constant, dark matter distribution, and quintessence characterized by a variable equation of state. We analyze the resulting spacetime geometry through the metric function and horizon structure, showing that the dark matter halo strengthens the gravitational attraction, whereas the quintessence field provides a repulsive contribution that substantially alters the asymptotic behavior of the spacetime. Furthermore, the thermodynamic properties are investigated by applying the Duan-ϕ-mapping topological theory together with the generalized free energy method. This framework allows us to examine the topological structure, critical behavior, and stability conditions of the black hole system in a consistent manner. We further study the fractional shifts relative to the reference value of ωq and observe that variations in ωq produce systematic changes which highlight the important role of the quintessence field in determining the phase structure and critical behavior of the black hole system.

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BibTeX
@misc{yasir2026topological,
  title = {{Topological analysis of novel charged-AdS black hole solutions embedded in dark matter halos with quintessence field}},
  author = {Muhammad Yasir and Hafiza Bushra Mujahid and Faisal Javed and Shahid Qaisar},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34334},
  eprint = {2610.34334},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34334},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Topological analysis of novel charged-AdS black hole solutions embedded in dark matter halos with quintessence field
AU  - Muhammad Yasir
AU  - Hafiza Bushra Mujahid
AU  - Faisal Javed
AU  - Shahid Qaisar
PY  - 2026
DA  - 2026/10/25
PB  - arXiv
DO  - 10.48550/arxiv.2610.34334
UR  - https://arxiv.org/abs/2610.34334
AB  - In this work, we investigate the properties of a charged anti-de Sitter (AdS) black hole in the presence of a NGC 4649-type dark matter halo and a surrounding quintessence field. Starting from the modified Einstein field equations (EFEs), we construct the corresponding black hole solutions by incorporating the effects of electric charge, cosmological constant, dark matter distribution, and quintessence characterized by a variable equation of state. We analyze the resulting spacetime geometry through the metric function and horizon structure, showing that the dark matter halo strengthens the gravitational attraction, whereas the quintessence field provides a repulsive contribution that substantially alters the asymptotic behavior of the spacetime. Furthermore, the thermodynamic properties are investigated by applying the Duan-ϕ-mapping topological theory together with the generalized free energy method. This framework allows us to examine the topological structure, critical behavior, and stability conditions of the black hole system in a consistent manner. We further study the fractional shifts relative to the reference value of ω_q and observe that variations in ω_q produce systematic changes which highlight the important role of the quintessence field in determining the phase structure and critical behavior of the black hole system.
ER  -