BTZ black hole assuming running couplings

Understand

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.