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Shadow and Quasinormal Modes of a Rotating Loop Quantum Black Hole · Around

2020

Shadow and Quasinormal Modes of a Rotating Loop Quantum Black Hole

Liu, Cheng, Zhu, Tao, Wu, Qiang et al.

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In this paper, we construct an effective rotating loop quantum black hole (LQBH) solution, starting from the spherical symmetric LQBH by applying the Newman-Janis algorithm modified by Azreg-A\"{i}nou's non-complexification procedure, and study the effects of loop quantum gravity { (LQG) on its shadow}.

Given the rotating {LQBH}, we discuss its horizon, ergosurface, and regularity {as} $r \to 0$.
Depending on the values of the specific angular momentum $a$ and the polymeric function $P$ arising from {LQG}, we {find} that the rotating solution we obtained can represent a regular black hole, a regular extreme black hole, or a regular spacetime {without horizon (a non-black-hole solution)}.
We also {study} the effects of {LQG} and rotation, and {show} that, in addition to the specific angular momentum, the polymeric function {also} causes deformations in the size and shape of the black hole shadow.

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