Improved Reissner-Nordstr\"om-(A)dS Black Hole in Asymptotic Safety

Understand

This paper studies the quantum modifications of the Reissner-Nordstr\"{o}m-(A)dS black hole within Quantum Einstein Gravity, coupled to an electromagnetic sector.

• Quantum effects are introduced on the level of the improvements of the classical solution, where the originally constant couplings ($G_0$, $\Lambda_0$, and $\alpha_0$) are promoted to scale dependent quantities ($G_k$, $\Lambda_k$, and $\alpha_k$).
• Those running couplings are calculated in the functional renormalization group approach.
• A crucial point of this, so called "improving solutions" procedure is the scale setting where the arbitrary scale $k$ acquires physical meaning due to a relation to the coordinate scale $r$.