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Numerical solution of the 2+1 Teukolsky equation on a ...

Numerical solution of the 2+1 Teukolsky equation on a ...

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<str<strong>on</strong>g>Numerical</str<strong>on</strong>g> Experiments - LPI split in space for s = +2· for special case s > 0, m > 0 [Hod, 1999], [Barack, Ori, 1999]:⇒ LPI splits into three distinct values at R + |R + < R < J + |J +µ 3-2-3-4-5-6-7-8-9ID0, s=2, a=0.9, l′=2600 700 800 900 1000 1100 1200T/MRH=0.5222R1=0.5270R2=0.5317R3=0.5365R4=0.5461R5=0.6225R6=0.9713R7=0.9857R8=0.9904R9=0.9952RS=1.0000· distinct positi<strong>on</strong> R + < ˜R < J+ sees asymptotic decay rateearliest ⇒ here: ˜R ≈ 0.6225· smooth transiti<strong>on</strong> from decay at R + to ˜R(note: for s = 1 dierent but also smooth transiti<strong>on</strong>)14 / 20

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