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Phys. Rev. D 70, 084039 (2004) [6 pages]

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

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Richard H. Price
Department of Physics and Astronomy and Center for Gravitational Wave Astronomy, The University of Texas at Brownsville, Brownsville, Texas, 78520, USA

Lior M. Burko
Department of Physics and Astronomy, Bates College, Lewiston, Maine 04240, USA

Received 23 August 2004; published 21 October 2004

An -pole perturbation in Schwarzschild spacetime generally falls off at late times t as t-2-3. It has recently been pointed out by Karkowski, Świerczyński, 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-2-4. 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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.084039
DOI:
10.1103/PhysRevD.70.084039
PACS:
04.70.Bw, 04.25.Nx, 04.30.Nk