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

Abstract

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.

7 pages, 5 figures

References in corpus (7)

• Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
• Late-Time Behavior of Stellar Collapse and Explosions: II. Nonlinear Evolution
• Late-time evolution of nonlinear gravitational collapse
• Late time dynamics of scalar perturbations outside black holes: II. Schwarzschild geometry
• Collapse of a Magnetized Star to a Black Hole
• Radiative falloff of a scalar field in a weakly curved spacetime without symmetries
• Comments on tails in Schwarzschild spacetimes

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