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

\[Q_s=-\frac{c}{\rho^{3\omega_q+1}}\]

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