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• W1973294060 abstract "We consider a massless scalar field propagating in a weakly curved spacetime whose metric is a solution to the linearized Einstein field equations. The spacetime is assumed to be stationary and asymptotically flat, but no other symmetries are imposed -- the spacetime can rotate and deviate strongly from spherical symmetry. We prove that the late-time behavior of the scalar field is identical to what it would be in a spherically-symmetric spacetime: it decays in time according to an inverse power-law, with a power determined by the angular profile of the initial wave packet (Price falloff theorem). The field's late-time dynamics is insensitive to the nonspherical aspects of the metric, and it is governed entirely by the spacetime's total gravitational mass; other multipole moments, and in particular the spacetime's total angular momentum, do not enter in the description of the field's late-time behavior. This extended formulation of Price's falloff theorem appears to be at odds with previous studies of radiative decay in the spacetime of a Kerr black hole. We show, however, that the contradiction is only apparent, and that it is largely an artifact of the Boyer-Lindquist coordinates adopted in these studies." @default.
• W1973294060 created "2016-06-24" @default.
• W1973294060 creator A5030046744 @default.
• W1973294060 date "2002-08-19" @default.
• W1973294060 modified "2023-09-27" @default.
• W1973294060 title "Radiative falloff of a scalar field in a weakly curved spacetime without symmetries" @default.
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• W1973294060 doi "https://doi.org/10.1103/physrevd.66.044008" @default.
• W1973294060 hasPublicationYear "2002" @default.
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