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

Semi-classical rotating black hole in loop quantum gravity