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Dyonic rotating cosmological black hole surrounded by quintessence

Abstract

In this work, we constructed a new metric describing a rotating cosmological black hole with electric and magnetic charges in the presence of quintessence dark energy, where the cosmological constant and quintessence are associated with external matter. Starting from a Schwarzschild-type metric and considering all energy contributions in the function f(r), we introduced rotation through the Newman--Janis algorithm using a unique and general complexification rule, avoiding possible ambiguities. Assuming that the metric satisfies the Einstein field equations with matter, we calculate the event horizon condition, the total stress--energy tensor Tμν, and the Kretschmann and Ricci scalars. We also analyze the influence of the cosmological constant Λ and quintessence parameter α on the event horizon and ergosphere. In the limit α→ 0, the scalar curvature differs from the vacuum result, R ≠ −4Λ, while the singularity region remains unchanged. Finally, we investigate the angular and rotational velocities of a test particle, as well as the energy conditions, through the energy density and pressures required for the existence of this black hole solution.

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BibTeX
@misc{oliveira2026dyonic,
  title = {{Dyonic rotating cosmological black hole surrounded by quintessence}},
  author = {M. D. de Oliveira and Alexandre G. M. Schmidt},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.04111},
  eprint = {2609.04111},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.04111},
}
RIS
TY  - UNPB
TI  - Dyonic rotating cosmological black hole surrounded by quintessence
AU  - M. D. de Oliveira
AU  - Alexandre G. M. Schmidt
PY  - 2026
DA  - 2026/09/03
PB  - arXiv
DO  - 10.48550/arxiv.2609.04111
UR  - https://arxiv.org/abs/2609.04111
AB  - In this work, we constructed a new metric describing a rotating cosmological black hole with electric and magnetic charges in the presence of quintessence dark energy, where the cosmological constant and quintessence are associated with external matter. Starting from a Schwarzschild-type metric and considering all energy contributions in the function f(r), we introduced rotation through the Newman--Janis algorithm using a unique and general complexification rule, avoiding possible ambiguities. Assuming that the metric satisfies the Einstein field equations with matter, we calculate the event horizon condition, the total stress--energy tensor T_μν, and the Kretschmann and Ricci scalars. We also analyze the influence of the cosmological constant Λ and quintessence parameter α on the event horizon and ergosphere. In the limit α→ 0, the scalar curvature differs from the vacuum result, R ≠ −4Λ, while the singularity region remains unchanged. Finally, we investigate the angular and rotational velocities of a test particle, as well as the energy conditions, through the energy density and pressures required for the existence of this black hole solution.
ER  -