Abstract
We investigate the behavior of a dynamical scalar field on a fixed Kerr background in Kerr-Schild coordinates using a (3+1)-dimensional spectral evolution code, and we measure the power-law tail decay that occurs at late times. We compare evolutions of initial data proportional to where is a spherical harmonic and are Kerr-Schild coordinates, to that of initial data proportional to where are Boyer-Lindquist coordinates. We find that although these two cases are initially almost identical, the evolution can be quite different at intermediate times; however, at late times the power-law decay rates are equal.
- Received 6 May 2003
DOI:https://doi.org/10.1103/PhysRevD.69.104006
©2004 American Physical Society