Dyonic rotating cosmological black hole surrounded by quintessence

Abstract

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 Ç-ççtype 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 $$T_{\mu \nu },$$ T μ ν , and the Kretschmann and Ricci scalars. We also analyze the influence of the cosmological constant $$\Lambda $$ Λ and quintessence parameter $$\alpha $$ α on the event horizon and ergosphere. In the limit $$\alpha \rightarrow 0,$$ α → 0 , the scalar curvature differs from the vacuum result, $$R \ne -4\Lambda ,$$ R ≠ - 4 Λ , 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.