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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TKEq <strong>on</strong> RT-Foliati<strong>on</strong>The eld variable needs rescaling· RT rescaling: Ψ → r −1 Ψ· enough for s = 0, but singular at R + for s ≠ 0⇒ simple proposal:· where ∆ = r 2 − 2Mr + a 2Ψ → ∆ −s · r −1 Ψ· this rescaling yields a new formulati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> TKEq, which isregular over <str<strong>on</strong>g>the</str<strong>on</strong>g> whole domain [R + , J + ]6 / 20
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