
Figure 12: Massive scalar field (nonlinear) evolution of the spacetime of an initially non-rotating BH,
with
. Left panel: Evolution of a spherically symmetric
scalar waveform,
measured at
, with
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
, in excellent agreement
with linearized analysis. Right panel: The dipole signal resulting from the evolution of an
massive scalar field around a non-rotating BH. The waveforms, extracted at different radii
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.






