Numerical solution of the 2+1 Teukolsky equation on a ...
Numerical solution of the 2+1 Teukolsky equation on a ...
Numerical solution of the 2+1 Teukolsky equation on a ...
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The <str<strong>on</strong>g>Teukolsky</str<strong>on</strong>g> Equati<strong>on</strong>, hereafter TKEq, [<str<strong>on</strong>g>Teukolsky</str<strong>on</strong>g>, 1973]· derived originally in Boyer-Lindquist coordinates· describes <str<strong>on</strong>g>the</str<strong>on</strong>g> evoluti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> linear perturbati<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> a rotatingblack hole (Kerr BH with mass M, spec. angular momentum a)· a wavelike <str<strong>on</strong>g>equati<strong>on</strong></str<strong>on</strong>g> for <str<strong>on</strong>g>the</str<strong>on</strong>g> eld variable ΨType <str<strong>on</strong>g>of</str<strong>on</strong>g> perturbati<strong>on</strong> depends <strong>on</strong> spin weight parameter s· Ψ refers to dierent elds depending <strong>on</strong> s,e.g. for s = −2 it is Ψ = (r − i cos θ) 4 · Ψ 4· for s = 0 <str<strong>on</strong>g>the</str<strong>on</strong>g> TKEq is just <str<strong>on</strong>g>the</str<strong>on</strong>g> 3D scalar wave <str<strong>on</strong>g>equati<strong>on</strong></str<strong>on</strong>g> <strong>on</strong>Kerr□Ψ = 03 / 20
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