Late time tails in the Kerr spacetime

Details Late time tails in the Kerr spacetime Late time tails in the Kerr spacetime

2007-10-23

arxiv.org/abs/0710.4183v1

Class.Quant.Grav.25:072001,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 1 figure

Scientific paper

10.1088/0264-9381/25/7/072001

Outside a black hole, perturbation fields die off in time as $1/t^n$. For spherical holes $n=2\ell+3$ where $\ell$ is the multipole index. In the nonspherical Kerr spacetime there is no coordinate-independent meaning of "multipole," and a common sense viewpoint is to set $\ell$ to the lowest radiatiable index, although theoretical studies have led to very different claims. Numerical results, to date, have been controversial. Here we show that expansion for small Kerr spin parameter $a$ leads to very definite numerical results confirming previous theoretical analyses.

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