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The dynamical behavior of a scalar field near a rotating loop quantum gravityblack hole is investigated. By analyzing the waveform of scalar fields, we findthat the loop quantum correction only affects the decaying oscillation ofwaveforms, which is mainly described by quasi-normal modes. Moreover, wecalculate the quasi-normal modes of scalar field perturbations by using threenumerical methods, which are the Prony, WKB, and shooting methods,respectively, and compare the accuracy of results among these methods. Over theentire parameter space of a rotating loop quantum gravity black hole, weanalyze the stability of the spacetime and the influence of loop quantumcorrections on the quasi-normal modes of scalar field perturbations, and findthat the influence varies with the change of black hole angular momenta.Finally, we study the energy amplification effect of black holes on free scalarfields, and analyze the influence of loop quantum corrections on theamplification factor. Our result shows the diverse influences of loop quantumcorrections on the dynamics of scalar fields and superradiance effect of arotating loop quantum gravity black hole.

Scalar fields around a rotating loop quantum gravity black hole: Waveform, quasi-normal modes and superradiance