Renormalization group improved black hole spacetimes

We study the quantum gravitational effects in spherically symmetric black hole spacetimes. The effective quantum spacetime felt by a point-like test mass is constructed by “renormalization group improving” the Schwarzschild metric. The key ingredient is the running Newton constant which is obtained from the exact evolution equation for the effective average action. The conformal structure of the quantum spacetime depends on its ADM-mass M and it is similar to that of the classical Reissner-Nordström black hole. For M larger abo@sunct.ct.astro.it reuter@thep.physik.uni-mainz.de