the metric of Peldan black hole with Quintessence is
\[ds^2=-N(\rho)^2 dt^2 +\frac{1}{L(\rho)^2}d\rho^2+\rho^2d\phi^2\]
where
\[L(\rho)^2=N(\rho)^2=\frac{\rho^2}{l^2}-2b^2 \ln \rho -M +Q_s\]
where \(Q_s\) is the Quintessence term, which is
\[Q_s=-\frac{c}{\rho^{3\omega_q+1}}\]