物理学：Peldan black hole with Quintessence

the metric of Peldan black hole with Quintessence is

$$d{s}^2=-N(\rho {)}^{2}d{t}^2+\frac{1}{L(\rho {)}^2}d{\rho }^2+{\rho }^{2}d{\varphi }^2$$

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

$$Q_s=-\frac{c}{{\rho }^{3{\omega }_q+1}}$$