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

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

2004-08-23

arxiv.org/abs/gr-qc/0408077v1

Phys.Rev. D70 (2004) 084039

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 5 figures

Scientific paper

10.1103/PhysRevD.70.084039

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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