![Figure 12](MassiveTails-Beating_Dipole.png)
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.
![M μ = 0.29](article1280x.gif)
![l = m = 0](article1281x.gif)
![rex = 40M](article1282x.gif)
![M](article1283x.gif)
![t−0.83](article1284x.gif)
![l = m = 1](article1285x.gif)
![rex](article1286x.gif)