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

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

2007-12-16

arxiv.org/abs/0712.2472v1

Class.Quant.Grav.25:105022,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/25/10/105022

We investigate the late time behavior of a scalar field on a fixed Kerr background using a 2+1 dimensional pseudospectral 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 competing claims in the literature.

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