  In the present work a generalization of the BTZ black hole is studied, for
the case of scale dependent couplings. One starts by using the effective action
for scale dependence couplings to get a generalization of the Einstein field
equations. Self consistent solutions for lapse function, cosmological coupling
and Newtons coupling are found. The effect of scale dependent couplings with
respect to the classical solution is shown. Moreover, asymptotic behavior as
well as thermodynamic properties were investigated. Finally, an alternative way
to get the scale dependent Newton coupling, from the so-called "Null Energy
Condition" is presented.
