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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References
SHOWING 1-10 OF 17 REFERENCES
Late-time tails in the Kerr spacetime
- Physics
- 2007
Outside a black hole, perturbation fields die off in time as 1/tn. For spherical holes n = 2l + 3 where l is the multipole index. In the nonspherical Kerr spacetime there is no coordinate-independent…
Late-time dynamics of scalar fields on rotating black hole backgrounds
- Physics
- 1999
Motivated by results of recent analytic studies, we present a numerical investigation of the late-time dynamics of scalar test fields on Kerr backgrounds. We pay particular attention to the issue of…
Radiative falloff in the background of rotating black holes
- Physics
- 2003
We study numerically the late-time tails of linearized fields with any spin s in the background of a spinning black hole. Our code is based on the ingoing Kerr coordinates, which allow us to…
Late-time decay of scalar perturbations outside rotating black holes
- Physics, Mathematics
- 1999
We present an analytic method for calculating the late-time tails of a linear scalar field outside a Kerr black hole. We give the asymptotic behavior at timelike infinity (for fixed r), at future…
3D simulations of linearized scalar fields in Kerr spacetime
- Physics
- 2004
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…
Mode-coupling in rotating gravitational collapse of a scalar field
- Physics
- 1999
We present an analytic study of the mode-coupling phenomena for a scalar field propagating on a rotating Kerr background. Physically, this phenomena is caused by the dragging of reference frames, due…
Radiative falloff of a scalar field in a weakly curved spacetime without symmetries
- Physics
- 2002
We consider a massless scalar field propagating in a weakly curved spacetime whose metric is a solution to the linearized Einstein field equations. The spacetime is assumed to be stationary and…
A Stable Penalty Method for the Compressible Navier-Stokes Equations: II. One-Dimensional Domain Decomposition Schemes
- MathematicsSIAM J. Sci. Comput.
- 1997
This paper, concluding the trilogy, develops schemes for the stable solution of wave-dominated unsteady problems in general three-dimensional domains and well posedness and asymptotic stability of the semidiscrete scheme is established in a general curvilinear volume.
Phys
- Rev. D 60, 101501
- 1999
Phys
- Rev. D 5, 2419
- 1972