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 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 \(T_{\mu \nu },\) and the Kretschmann and Ricci scalars. We also analyze the influence of the cosmological constant \(\Lambda \) and quintessence parameter \(\alpha \) on the event horizon and ergosphere. In the limit \(\alpha \rightarrow 0,\) the scalar curvature differs from the vacuum result, \(R \ne -4\Lambda ,\) 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.