Quantum Improved Schwarzschild-(A)dS and Kerr-(A)dS Space-times

TL;DR

This paper explores quantum black holes within asymptotically safe quantum gravity, analyzing their structure, singularities, and evaporation endpoints, introducing a novel scale identification method based on the Kretschmann scalar.

Contribution

It presents a new approach to scale identification in quantum gravity and applies it to analyze the global structure and singularities of Kerr-(A)dS and Schwarzschild-(A)dS black holes.

Findings

Existence of a Planck-sized, extremal, zero-temperature black hole remnant.

Stable endpoint of black hole evaporation via Hawking radiation.

Detailed analysis of the global structure and singularities of quantum-corrected black holes.

Abstract

We discuss quantum black holes in asymptotically safe quantum gravity with a scale identification based on the Kretschmann scalar. After comparing this scenario with other scale identifications, we investigate in detail the Kerr-(A)dS and Schwarzschild-(A)dS space-times. The global structure of these geometries is studied as well as the central curvature singularity and test particle trajectories. The existence of a Planck-sized, extremal, zero temperature black hole remnant guarantees a stable endpoint of the evaporation process via Hawking radiation.