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

被引:34
作者
Tiglio, Manuel [1 ,2 ]
Kidder, Lawrence E. [3 ]
Teukolsky, Saul A. [3 ]
机构
[1] Univ Maryland, Dept Phys, College Pk, MD 20742 USA
[2] Univ Maryland, Ctr Sci Computat & Math Modeling, College Pk, MD 20742 USA
[3] Cornell Univ, Ctr Radiophys & Space Res, Ithaca, NY 14853 USA
基金
美国国家科学基金会;
关键词
D O I
10.1088/0264-9381/25/10/105022
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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 competing claims in the literature.
引用
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页数:13
相关论文
共 11 条
[1]   Late-time decay of scalar perturbations outside rotating black holes [J].
Barack, L ;
Ori, A .
PHYSICAL REVIEW LETTERS, 1999, 82 (22) :4388-4391
[2]   Radiative falloff in the background of rotating black holes [J].
Burko, LM ;
Khanna, G .
PHYSICAL REVIEW D, 2003, 67 (08)
[3]  
BURKO LM, 2007, PREPRINT
[4]   Late-time tails in the Kerr spacetime [J].
Gleiser, Reinaldo J. ;
Price, Richard H. ;
Pullin, Jorge .
CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (07)
[5]   A stable penalty method for the compressible Navier-Stokes equations .2. One-dimensional domain decomposition schemes [J].
Hesthaven, JS .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1997, 18 (03) :658-685
[6]   A stable penalty method for the compressible Navier-Stokes equations: III. Multidimensional domain decomposition schemes [J].
Hesthaven, JS .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1998, 20 (01) :62-93
[7]   Mode-coupling in rotating gravitational collapse of a scalar field [J].
Hod, S .
PHYSICAL REVIEW D, 2000, 61 (02)
[8]   Late-time dynamics of scalar fields on rotating black hole backgrounds [J].
Krivan, W .
PHYSICAL REVIEW D, 1999, 60 (10)
[9]  
POISSON E, 2002, PHYS REV D, V66
[10]   NONSPHERICAL PERTURBATIONS OF RELATIVISTIC GRAVITATIONAL COLLAPSE .1. SCALAR AND GRAVITATIONAL PERTURBATIONS [J].
PRICE, RH .
PHYSICAL REVIEW D, 1972, 5 (10) :2419-&