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Late time tails from momentarily stationary, compact initial data in Schwarzschild spacetimes

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arxiv gr-qc/0408077 v1 pith:YVHKIN4X submitted 2004-08-23 gr-qc

Late time tails from momentarily stationary, compact initial data in Schwarzschild spacetimes

classification gr-qc
keywords momentarilycasecompactdataexceptionalinitiallateschwarzschild
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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An L-pole perturbation in Schwarzschild spacetime generally falls off at late times t as t^{-2L-3}. It has recently been pointed out by Karkowski, Swierczynski and Malec, that for initial data that is of compact support, and is initially momentarily static, the late-time behavior is different, going as t^{-2L-4}. By considering the Laplace transforms of the fields, we show here why the momentarily stationary case is exceptional. We also explain, using a time-domain description, the special features of the time development in this exceptional case.

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Cited by 3 Pith papers

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