# Semi-classical rotating black hole in loop quantum gravity

## TL;DR

This paper derives an explicit expression for the unknown function in the semi-classical rotating black hole solution within loop quantum gravity, enhancing the understanding of such black holes' spacetime structure.

## Contribution

It provides a concrete expression for the previously unknown function H, completing the analytical solution of semi-classical rotating black holes in LQG.

## Key findings

- Explicit expression for the function H obtained.
- Enhanced spacetime description of semi-classical rotating black holes.
- Foundation laid for further studies of rotating black holes in LQG.

## Abstract

In the research paper [1], the analytical solution of semi-classical rotating black holes (BH) in loop quantum gravity theory (LQG) is obtained, but an unknown function $H$ is still preserved. In this note, we obtain an expression for the unknown function $H$, which makes the space-time line element of the semi-classical rotating BH in the LQG theory sufficiently well-expressed and thus provides a basis for the study of such rotating BHs.