Modified regular black holes with time delay and 1-loop quantum correction *

We develop the regular black hole solutions by incorporating the 1-loop quantum correction to the Newton potential and a time delay between an observer at the regular center and one at infinity. We define the maximal time delay between the center and the infinity by scanning the mass of black holes such that the sub-Planckian feature of the Kretschmann scalar curvature is preserved during the process of evaporation. We also compare the distinct behavior of the Kretschmann curvature for black holes with asymptotically Minkowski cores and those with asymptotically de-Sitter cores, including Bardeen and Hayward black holes. We expect that such regular black holes may provide more information about the construction of effective metrics for Planck stars.

Automated summary

In this study, regular black hole solutions are obtained by incorporating the 1-loop quantum correction and a time delay. The behavior of the curvature for different types of black holes is compared. These regular black holes may provide more information about the construction of effective metrics for Planck stars.