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

Abstract

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.

Cited by in corpus (8)

• Kerr-Newman black holes with stationary charged scalar clouds
• Spacelike matching to null infinity
• Challenges in Quasinormal Mode Extraction: Perspectives from Numerical solutions to the Teukolsky Equation
• Mode coupling of Schwarzschild perturbations: Ringdown frequencies
• Late-time Kerr tails revisited
• How pure is the tail of gravitational collapse ?
• Numerical investigation of the late-time tails of the solutions of the Fackerell-Ipser equation
• Toward exponentially-convergent simulations of extreme-mass-ratio inspirals: A time-domain solver for the scalar Teukolsky equation with singular source terms