High accuracy simulations of Kerr tails: coordinate dependence and higher multipoles

@article{Tiglio2008HighAS,
  title={High accuracy simulations of Kerr tails: coordinate dependence and higher multipoles},
  author={Manuel Tiglio and Lawrence E. Kidder and Saul A. Teukolsky},
  journal={Classical and Quantum Gravity},
  year={2008},
  volume={25},
  pages={105022}
}
We investigate the late-time behavior of a scalar field on a fixed Kerr background using a 2 + 1 dimensional pseudo-spectral evolution code. We compare evolutions of pure axisymmetric multipoles in both Kerr–Schild and Boyer–Lindquist coordinates. We find that the late-time power-law decay rate depends upon the slicing of the background, confirming previous theoretical predictions for those decay rates. The accuracy of the numerical evolutions is sufficient to decide unambiguously between… 
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