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Figure 12
Figure 12: Massive scalar field (nonlinear) evolution of the spacetime of an initially non-rotating BH, with M μ = 0.29. Left panel: Evolution of a spherically symmetric l = m = 0 scalar waveform, measured at rex = 40M, with M the initial BH mass. In addition to the numerical data (black solid curve) we show a fit to the late-time tail (red dashed curve) with t−0.83, in excellent agreement with linearized analysis. Right panel: The dipole signal resulting from the evolution of an l = m = 1 massive scalar field around a non-rotating BH. The waveforms, extracted at different radii rex exhibit pronounced beating patterns caused by interference of different overtones. The critical feature is however, that these are extremely long-lived configurations. Image reproduced with permission from [588], copyright by APS.