Non-singular quantum improved rotating black holes and their maximal extension

Abstract

We add a prescription to the Newman-Janis algorithm in order to use it as a means of finding new extended (`through r<0') rotating black hole spacetimes from static spherically symmetric ones. Then, we apply the procedure to a quantum improved black hole spacetime coming from Quantum Einstein Gravity. The goal is to get a maximally extended spacetime corresponding to a non-singular rotating black hole emulating the standard maximally extended Kerr black hole in regions where quantum effects are negligible. We rigourously check for the existence of scalar curvature singularities in the quantum improved rotating spacetime and we show that it is devoid of them. We also analyze the horizons and causal structure of the rotating black hole and provide Penrose diagrams for the maximally extended spacetime.